Пример #1
0
def construct_cost_aware(pn1, im1, fm1, pn2, im2, fm2, skip, pn1_costs,
                         pn2_costs, sync_costs):
    """
    Constructs the synchronous product net of two given Petri nets.


    :param pn1: Petri net 1
    :param im1: Initial marking of Petri net 1
    :param fm1: Final marking of Petri net 1
    :param pn2: Petri net 2
    :param im2: Initial marking of Petri net 2
    :param fm2: Final marking of Petri net 2
    :param skip: Symbol to be used as skip
    :param pn1_costs: dictionary mapping transitions of pn1 to corresponding costs
    :param pn2_costs: dictionary mapping transitions of pn2 to corresponding costs
    :param pn1_costs: dictionary mapping pairs of transitions in pn1 and pn2 to costs
    :param sync_costs: Costs of sync moves

    Returns
    -------
    :return: Synchronous product net and associated marking labels are of the form (a,>>)
    """
    sync_net = PetriNet('synchronous_product_net of %s and %s' %
                        (pn1.name, pn2.name))
    t1_map, p1_map = __copy_into(pn1, sync_net, True, skip)
    t2_map, p2_map = __copy_into(pn2, sync_net, False, skip)
    costs = dict()

    for t1 in pn1.transitions:
        costs[t1_map[t1]] = pn1_costs[t1]
    for t2 in pn2.transitions:
        costs[t2_map[t2]] = pn2_costs[t2]

    for t1 in pn1.transitions:
        for t2 in pn2.transitions:
            if t1.label == t2.label:
                sync = PetriNet.Transition((t1.name, t2.name),
                                           (t1.label, t2.label))
                sync_net.transitions.add(sync)
                costs[sync] = sync_costs[(t1, t2)]
                for a in t1.in_arcs:
                    add_arc_from_to(p1_map[a.source], sync, sync_net)
                for a in t2.in_arcs:
                    add_arc_from_to(p2_map[a.source], sync, sync_net)
                for a in t1.out_arcs:
                    add_arc_from_to(sync, p1_map[a.target], sync_net)
                for a in t2.out_arcs:
                    add_arc_from_to(sync, p2_map[a.target], sync_net)

    sync_im = Marking()
    sync_fm = Marking()
    for p in im1:
        sync_im[p1_map[p]] = im1[p]
    for p in im2:
        sync_im[p2_map[p]] = im2[p]
    for p in fm1:
        sync_fm[p1_map[p]] = fm1[p]
    for p in fm2:
        sync_fm[p2_map[p]] = fm2[p]

    # update 06/02/2021: to distinguish the sync nets that are output of this method, put a property in the sync net
    sync_net.properties[properties.IS_SYNC_NET] = True

    return sync_net, sync_im, sync_fm, costs
Пример #2
0
def apply(heu_net, parameters=None):
    """
    Converts an Heuristics Net to a Petri net

    Parameters
    --------------
    heu_net
        Heuristics net
    parameters
        Possible parameters of the algorithm

    Returns
    --------------
    net
        Petri net
    im
        Initial marking
    fm
        Final marking
    """
    if parameters is None:
        parameters = {}
    net = PetriNet("")
    im = Marking()
    fm = Marking()
    source_places = []
    sink_places = []
    hid_trans_count = 0
    for index, sa_list in enumerate(heu_net.start_activities):
        source = PetriNet.Place("source" + str(index))
        source_places.append(source)
        net.places.add(source)
        im[source] = 1
    for index, ea_list in enumerate(heu_net.end_activities):
        sink = PetriNet.Place("sink" + str(index))
        sink_places.append(sink)
        net.places.add(sink)
        fm[sink] = 1
    act_trans = {}
    who_is_entering = {}
    who_is_exiting = {}
    for act1_name in heu_net.nodes:
        act1 = heu_net.nodes[act1_name]
        if act1_name not in act_trans:
            act_trans[act1_name] = PetriNet.Transition(act1_name, act1_name)
            net.transitions.add(act_trans[act1_name])
            who_is_entering[act1_name] = set()
            who_is_exiting[act1_name] = set()
            for index, sa_list in enumerate(heu_net.start_activities):
                if act1_name in sa_list:
                    who_is_entering[act1_name].add((None, index))
            for index, ea_list in enumerate(heu_net.end_activities):
                if act1_name in ea_list:
                    who_is_exiting[act1_name].add((None, index))
        for act2 in act1.output_connections:
            act2_name = act2.node_name
            if act2_name not in act_trans:
                act_trans[act2_name] = PetriNet.Transition(
                    act2_name, act2_name)
                net.transitions.add(act_trans[act2_name])
                who_is_entering[act2_name] = set()
                who_is_exiting[act2_name] = set()
                for index, sa_list in enumerate(heu_net.start_activities):
                    if act2_name in sa_list:
                        who_is_entering[act2_name].add((None, index))
                for index, ea_list in enumerate(heu_net.end_activities):
                    if act2_name in ea_list:
                        who_is_exiting[act2_name].add((None, index))
            who_is_entering[act2_name].add((act1_name, None))
            who_is_exiting[act1_name].add((act2_name, None))
    places_entering = {}
    for act1 in who_is_entering:
        cliques = find_bindings(heu_net.nodes[act1].and_measures_in)
        places_entering[act1] = {}
        entering_activities = list(who_is_entering[act1])
        entering_activities_wo_source = sorted(
            [x for x in entering_activities if x[0] is not None],
            key=lambda x: x[0])
        entering_activities_only_source = [
            x for x in entering_activities if x[0] is None
        ]
        if entering_activities_wo_source:
            master_place = PetriNet.Place("pre_" + act1)
            net.places.add(master_place)
            add_arc_from_to(master_place, act_trans[act1], net)
            if len(entering_activities) == 1:
                places_entering[act1][entering_activities[0]] = master_place
            else:
                for index, act in enumerate(entering_activities_wo_source):
                    if act[0] in heu_net.nodes[act1].and_measures_in:
                        z = 0
                        while z < len(cliques):
                            if act[0] in cliques[z]:
                                hid_trans_count = hid_trans_count + 1
                                hid_trans = PetriNet.Transition(
                                    "hid_" + str(hid_trans_count), None)
                                net.transitions.add(hid_trans)
                                add_arc_from_to(hid_trans, master_place, net)
                                for act2 in cliques[z]:
                                    if (act2,
                                            None) not in places_entering[act1]:
                                        s_place = PetriNet.Place("splace_in_" +
                                                                 act1 + "_" +
                                                                 act2 + "_" +
                                                                 str(index))
                                        net.places.add(s_place)
                                        places_entering[act1][(act2,
                                                               None)] = s_place
                                    add_arc_from_to(
                                        places_entering[act1][(act2, None)],
                                        hid_trans, net)
                                del cliques[z]
                                continue
                            z = z + 1
                        pass
                    elif act not in places_entering[act1]:
                        hid_trans_count = hid_trans_count + 1
                        hid_trans = PetriNet.Transition(
                            "hid_" + str(hid_trans_count), None)
                        net.transitions.add(hid_trans)
                        add_arc_from_to(hid_trans, master_place, net)
                        if act not in places_entering[act1]:
                            s_place = PetriNet.Place("splace_in_" + act1 +
                                                     "_" + str(index))
                            net.places.add(s_place)
                            places_entering[act1][act] = s_place
                        add_arc_from_to(places_entering[act1][act], hid_trans,
                                        net)
        for el in entering_activities_only_source:
            if len(entering_activities) == 1:
                add_arc_from_to(source_places[el[1]], act_trans[act1], net)
            else:
                hid_trans_count = hid_trans_count + 1
                hid_trans = PetriNet.Transition("hid_" + str(hid_trans_count),
                                                None)
                net.transitions.add(hid_trans)
                add_arc_from_to(source_places[el[1]], hid_trans, net)
                add_arc_from_to(hid_trans, master_place, net)
    for act1 in who_is_exiting:
        cliques = find_bindings(heu_net.nodes[act1].and_measures_out)
        exiting_activities = list(who_is_exiting[act1])
        exiting_activities_wo_sink = sorted(
            [x for x in exiting_activities if x[0] is not None],
            key=lambda x: x[0])
        exiting_activities_only_sink = [
            x for x in exiting_activities if x[0] is None
        ]
        if exiting_activities_wo_sink:
            if len(exiting_activities) == 1 and len(
                    exiting_activities_wo_sink) == 1:
                ex_act = exiting_activities_wo_sink[0]
                if (act1, None) in places_entering[ex_act[0]]:
                    add_arc_from_to(act_trans[act1],
                                    places_entering[ex_act[0]][(act1, None)],
                                    net)
            else:
                int_place = PetriNet.Place("intplace_" + str(act1))
                net.places.add(int_place)
                add_arc_from_to(act_trans[act1], int_place, net)
                for ex_act in exiting_activities_wo_sink:
                    if (act1, None) in places_entering[ex_act[0]]:
                        if ex_act[0] in heu_net.nodes[act1].and_measures_out:
                            z = 0
                            while z < len(cliques):
                                if ex_act[0] in cliques[z]:
                                    hid_trans_count = hid_trans_count + 1
                                    hid_trans = PetriNet.Transition(
                                        "hid_" + str(hid_trans_count), None)
                                    net.transitions.add(hid_trans)
                                    add_arc_from_to(int_place, hid_trans, net)
                                    for act in cliques[z]:
                                        add_arc_from_to(
                                            hid_trans,
                                            places_entering[act][(act1, None)],
                                            net)
                                    del cliques[z]
                                    continue
                                z = z + 1
                        else:
                            hid_trans_count = hid_trans_count + 1
                            hid_trans = PetriNet.Transition(
                                "hid_" + str(hid_trans_count), None)
                            net.transitions.add(hid_trans)
                            add_arc_from_to(int_place, hid_trans, net)
                            add_arc_from_to(
                                hid_trans,
                                places_entering[ex_act[0]][(act1, None)], net)
        for el in exiting_activities_only_sink:
            if len(exiting_activities) == 1:
                add_arc_from_to(act_trans[act1], sink_places[el[1]], net)
            else:
                hid_trans_count = hid_trans_count + 1
                hid_trans = PetriNet.Transition("hid_" + str(hid_trans_count),
                                                None)
                net.transitions.add(hid_trans)
                add_arc_from_to(int_place, hid_trans, net)
                add_arc_from_to(hid_trans, sink_places[el[1]], net)
    net = remove_rendundant_invisible_transitions(net)
    from pm4py.objects.petri import reduction
    reduction.apply_simple_reduction(net)
    return net, im, fm
Пример #3
0
from pm4py.objects.petri import semantics
transitions = semantics.enabled_transitions(net, im)
places = net.places
transitions = net.transitions
arcs = net.arcs
for place in places:
    print("\nPLACE: " + place.name)
    for arc in place.in_arcs:
        print(arc.source.name, arc.source.label)

########################################################################

# creating an empty Petri net
from pm4py.objects.petri.petrinet import PetriNet, Marking
net = PetriNet("new_petri_net")
# creating source, p_1 and sink place
source = PetriNet.Place("source")
sink = PetriNet.Place("sink")
p_1 = PetriNet.Place("p_1")
# add the places to the Petri Net
net.places.add(source)
net.places.add(sink)
net.places.add(p_1)
# Create transitions
t_1 = PetriNet.Transition("name_1", "label_1")
t_2 = PetriNet.Transition("name_2", "label_2")
# Add the transitions to the Petri Net
net.transitions.add(t_1)
net.transitions.add(t_2)
# Add arcs
Пример #4
0
 def test_figure42(self):
     net = PetriNet("figure_4_2")
     p_1 = PetriNet.Place("p_1")
     p_2 = PetriNet.Place("p_2")
     p_3 = PetriNet.Place("p_3")
     p_4 = PetriNet.Place("p_4")
     p_5 = PetriNet.Place("p_5")
     p_6 = PetriNet.Place("p_6")
     p_7 = PetriNet.Place("p_7")
     p_8 = PetriNet.Place("p_8")
     net.places.add(p_1)
     net.places.add(p_2)
     net.places.add(p_3)
     net.places.add(p_4)
     net.places.add(p_5)
     net.places.add(p_6)
     net.places.add(p_7)
     net.places.add(p_8)
     t_1 = PetriNet.Transition("t_1", "t_1")
     t_2 = PetriNet.Transition("t_2", "t_2")
     t_3 = PetriNet.Transition("t_3", "t_3")
     t_4 = PetriNet.Transition("t_4", "t_4")
     t_5 = PetriNet.Transition("t_5", "t_5")
     t_6 = PetriNet.Transition("t_6", "t_6")
     t_7 = PetriNet.Transition("t_7", "t_7")
     t_8 = PetriNet.Transition("t_8", "t_8")
     net.transitions.add(t_1)
     net.transitions.add(t_2)
     net.transitions.add(t_3)
     net.transitions.add(t_4)
     net.transitions.add(t_5)
     net.transitions.add(t_6)
     net.transitions.add(t_7)
     net.transitions.add(t_8)
     utils.add_arc_from_to(p_1, t_1, net)
     utils.add_arc_from_to(t_1, p_6, net)
     utils.add_arc_from_to(t_1, p_4, net)
     utils.add_arc_from_to(p_4, t_4, net)
     utils.add_arc_from_to(p_4, t_5, net)
     utils.add_arc_from_to(t_2, p_6, net)
     utils.add_arc_from_to(t_2, p_4, net)
     utils.add_arc_from_to(t_4, p_3, net)
     utils.add_arc_from_to(t_4, p_5, net)
     utils.add_arc_from_to(t_5, p_7, net)
     utils.add_arc_from_to(t_7, p_4, net)
     utils.add_arc_from_to(p_3, t_2, net)
     utils.add_arc_from_to(p_3, t_3, net)
     utils.add_arc_from_to(p_5, t_2, net)
     utils.add_arc_from_to(p_5, t_3, net)
     utils.add_arc_from_to(p_5, t_4, net)
     utils.add_arc_from_to(p_7, t_6, net)
     utils.add_arc_from_to(p_8, t_7, net)
     utils.add_arc_from_to(p_8, t_8, net)
     utils.add_arc_from_to(t_3, p_2, net)
     utils.add_arc_from_to(p_6, t_6, net)
     utils.add_arc_from_to(t_6, p_5, net)
     utils.add_arc_from_to(t_8, p_8, net)
     initial_marking = Marking()
     initial_marking[p_1] = 1
     final_marking = Marking()
     final_marking[p_2] = 1
     self.assertFalse(
         woflan.apply(net,
                      initial_marking,
                      final_marking,
                      parameters={"print_diagnostics": False}))
Пример #5
0
def apply(bpmn_graph, parameters=None):
    """
    Apply conversion from a BPMN graph to a Petri net
    along with an initial and final marking

    Parameters
    -----------
    bpmn_graph
        BPMN graph
    parameters
        Parameters of the algorithm

    Returns
    -----------
    net
        Petri net
    initial_marking
        Initial marking of the Petri net
    final_marking
        Final marking of the Petri net
    elements_correspondence
        Correspondence between meaningful elements of the Petri net (objects) and meaningful elements of the
        BPMN graph (dicts)
    inv_elements_correspondence
        Correspondence between meaningful elements of the BPMN graph (dicts) and meaningful elements of the
        Petri net (objects)
    el_corr_keys_map
        Correspondence between string-ed keys of elements_correspondence with the corresponding elements
    """
    if parameters is None:
        parameters = {}
    enable_reduction = parameters[
        "enable_reduction"] if "enable_reduction" in parameters else False

    del parameters
    net = PetriNet("converted_net")
    nodes = bpmn_graph.get_nodes()
    corresponding_in_nodes = {}
    corresponding_out_nodes = {}
    elements_correspondence = {}
    inv_elements_correspondence = {}
    el_corr_keys_map = {}
    start_event_subprocess = {}
    end_event_subprocess = {}
    sources = []
    targets = []
    # adds nodes
    for node in nodes:
        node_id = node[1]['id'] if 'id' in node[1] else node[0]
        node_name = node[1]['node_name'].replace("\r", " ").replace(
            "\n", " ").strip() if 'node_name' in node[1] else None
        node_type = node[1]['type'].lower() if 'type' in node[1] else ""
        node_process = node[1]['process'] if 'process' in node[1] else None

        if not "type" in node[1]:
            # some problem with the importing of inclusive gateways
            node_type = 'inclusivegateway'

        trans = None
        if "task" in node_type:
            trans = get_transition(node_id, node_name)
            net.transitions.add(trans)
            elements_correspondence[trans] = node[1]
            if not str(node[1]) in inv_elements_correspondence:
                inv_elements_correspondence[str(node[1])] = []
            inv_elements_correspondence[str(node[1])].append(trans)
            input_place = PetriNet.Place('it_' + node_id)
            net.places.add(input_place)
            output_place = PetriNet.Place('ot_' + node_id)
            net.places.add(output_place)
            corresponding_in_nodes[node_id] = [input_place]
            corresponding_out_nodes[node_id] = [output_place]
            utils.add_arc_from_to(input_place, trans, net)
            utils.add_arc_from_to(trans, output_place, net)
        elif "gateway" in node_type:
            if "parallelgateway" in node_type:
                place = PetriNet.Place('pp_' + node_id)
                net.places.add(place)
                corresponding_in_nodes[node_id] = []
                corresponding_out_nodes[node_id] = []
                htrans = get_transition(str(uuid.uuid4()), None)
                net.transitions.add(htrans)
                utils.add_arc_from_to(htrans, place, net)
                for edge in node[1]['incoming']:
                    str(edge)
                    hplace = PetriNet.Place(str(uuid.uuid4()))
                    net.places.add(hplace)
                    utils.add_arc_from_to(hplace, htrans, net)
                    corresponding_in_nodes[node_id].append(hplace)
                htrans = get_transition(str(uuid.uuid4()), None)
                net.transitions.add(htrans)
                utils.add_arc_from_to(place, htrans, net)
                for edge in node[1]['outgoing']:
                    str(edge)
                    hplace = PetriNet.Place(str(uuid.uuid4()))
                    net.places.add(hplace)
                    utils.add_arc_from_to(htrans, hplace, net)
                    corresponding_out_nodes[node_id].append(hplace)
            elif "inclusivegateway" in node_type:
                input_place = PetriNet.Place('i_' + node_id)
                net.places.add(input_place)
                corresponding_in_nodes[node_id] = []
                added_places_input = []
                for edge in node[1]['incoming']:
                    str(edge)
                    hplace = PetriNet.Place(str(uuid.uuid4()))
                    net.places.add(hplace)
                    added_places_input.append(hplace)
                    corresponding_in_nodes[node_id].append(hplace)
                for i in range(1, len(added_places_input) + 1):
                    subsets = findsubsets(set(added_places_input), i)
                    for subset in subsets:
                        htrans = get_transition(str(uuid.uuid4()), None)
                        net.transitions.add(htrans)
                        utils.add_arc_from_to(htrans, input_place, net)
                        for place in subset:
                            utils.add_arc_from_to(place, htrans, net)
                corresponding_out_nodes[node_id] = []
                added_places_output = []
                for edge in node[1]['outgoing']:
                    str(edge)
                    hplace = PetriNet.Place(str(uuid.uuid4()))
                    net.places.add(hplace)
                    added_places_output.append(hplace)
                    corresponding_out_nodes[node_id].append(hplace)
                for i in range(1, len(added_places_output) + 1):
                    subsets = findsubsets(set(added_places_output), i)
                    for subset in subsets:
                        htrans = get_transition(str(uuid.uuid4()), None)
                        net.transitions.add(htrans)
                        utils.add_arc_from_to(input_place, htrans, net)
                        for place in subset:
                            utils.add_arc_from_to(htrans, place, net)
            else:
                input_place = PetriNet.Place('i_' + node_id)
                net.places.add(input_place)
                output_place = PetriNet.Place('o_' + node_id)
                net.places.add(output_place)
                trans = get_transition(node_id, None)
                net.transitions.add(trans)
                utils.add_arc_from_to(input_place, trans, net)
                utils.add_arc_from_to(trans, output_place, net)
                corresponding_in_nodes[node_id] = [input_place] * len(
                    node[1]['incoming'])
                corresponding_out_nodes[node_id] = [output_place] * len(
                    node[1]['outgoing'])
        elif node_type == "startevent":
            source_place_source = PetriNet.Place("sourceplacesource_" +
                                                 str(node_id))
            net.places.add(source_place_source)
            sources.append(source_place_source)
            corresponding_in_nodes[node_id] = [source_place_source]
            if node_process not in corresponding_in_nodes:
                corresponding_in_nodes[node_process] = []
            corresponding_in_nodes[node_process].append(source_place_source)
            start_event_subprocess[node_process] = source_place_source
            if not node_name.lower().startswith("start"):
                trans = get_transition("stt_" + node_id, node_name)
                net.transitions.add(trans)
                source_place_target = PetriNet.Place("stp_" + node_id)
                net.places.add(source_place_target)
                utils.add_arc_from_to(source_place_source, trans, net)
                utils.add_arc_from_to(trans, source_place_target, net)
                corresponding_out_nodes[node_id] = [source_place_target]
            else:
                corresponding_out_nodes[node_id] = [source_place_source]
        elif node_type == "endevent":
            sink_place_target = PetriNet.Place("sinkplacetarget_" +
                                               str(node_id))
            net.places.add(sink_place_target)
            targets.append(sink_place_target)
            corresponding_out_nodes[node_id] = [sink_place_target]
            if node_process not in corresponding_out_nodes:
                corresponding_out_nodes[node_process] = []
            corresponding_out_nodes[node_process].append(sink_place_target)
            end_event_subprocess[node_process] = sink_place_target
            if not node_name.lower().startswith("end"):
                trans = get_transition("ett_" + node_id, node_name)
                net.transitions.add(trans)
                sink_place_source = PetriNet.Place("etp_" + node_id)
                net.places.add(sink_place_source)
                utils.add_arc_from_to(sink_place_source, trans, net)
                utils.add_arc_from_to(trans, sink_place_target, net)
                corresponding_in_nodes[node_id] = [sink_place_source]
            else:
                corresponding_in_nodes[node_id] = [sink_place_target]
        elif "event" in node_type:
            input_place = PetriNet.Place('i_' + node_id)
            net.places.add(input_place)
            output_place = PetriNet.Place('o_' + node_id)
            net.places.add(output_place)
            if not node_id == node_name:
                trans = get_transition(node_id, node_name)
            else:
                trans = get_transition(node_id, None)
            net.transitions.add(trans)
            corresponding_in_nodes[node_id] = [input_place]
            corresponding_out_nodes[node_id] = [output_place]
            utils.add_arc_from_to(input_place, trans, net)
            utils.add_arc_from_to(trans, output_place, net)

    flows = bpmn_graph.get_flows()
    for flow in flows:
        flow_id = flow[2]['id']
        source_ref = flow[2]['sourceRef']
        target_ref = flow[2]['targetRef']
        if source_ref in corresponding_out_nodes and target_ref in corresponding_in_nodes and corresponding_out_nodes[
                source_ref] and corresponding_in_nodes[target_ref]:
            trans = get_transition(flow_id, None)
            net.transitions.add(trans)
            source_arc = utils.add_arc_from_to(
                corresponding_out_nodes[source_ref][0], trans, net)
            target_arc = utils.add_arc_from_to(
                trans, corresponding_in_nodes[target_ref][0], net)
            if len(corresponding_out_nodes[source_ref]) > 1:
                del corresponding_out_nodes[source_ref][0]
            if len(corresponding_in_nodes[target_ref]) > 1:
                del corresponding_in_nodes[target_ref][0]
            elements_correspondence[target_arc] = flow
            if not str(flow) in inv_elements_correspondence:
                inv_elements_correspondence[str(flow[2])] = []
            inv_elements_correspondence[str(flow[2])].append(target_arc)
            inv_elements_correspondence[str(flow[2])].append(source_arc)

    net = remove_unconnected_places(net, sources, targets)

    for el in elements_correspondence:
        el_corr_keys_map[str(el)] = el

    if enable_reduction:
        net = reduce(net)
        #net, initial_marking = remove_places_im_that_go_to_fm_through_hidden(net, initial_marking, final_marking)

    net, initial_marking = get_initial_marking(net)
    net, final_marking = get_final_marking(net)

    return net, initial_marking, final_marking, elements_correspondence, inv_elements_correspondence, el_corr_keys_map
Пример #6
0
def import_net_from_xml_object(root, parameters=None):
    """
    Import a Petri net from an etree XML object

    Parameters
    ----------
    root
        Root object of the XML
    parameters
        Other parameters of the algorithm
    """
    if parameters is None:
        parameters = {}

    net = PetriNet('imported_' + str(time.time()))
    marking = Marking()
    fmarking = Marking()

    nett = None
    page = None
    finalmarkings = None

    stochastic_information = {}

    for child in root:
        nett = child

    places_dict = {}
    trans_dict = {}

    if nett is not None:
        for child in nett:
            if "page" in child.tag:
                page = child
            if "finalmarkings" in child.tag:
                finalmarkings = child

    if page is None:
        page = nett

    if page is not None:
        for child in page:
            if "place" in child.tag:
                position_X = None
                position_Y = None
                dimension_X = None
                dimension_Y = None
                place_id = child.get("id")
                place_name = place_id
                number = 0
                for child2 in child:
                    if child2.tag.endswith('name'):
                        for child3 in child2:
                            if child3.text:
                                place_name = child3.text
                    if child2.tag.endswith('initialMarking'):
                        for child3 in child2:
                            if child3.tag.endswith("text"):
                                number = int(child3.text)
                    if child2.tag.endswith('graphics'):
                        for child3 in child2:
                            if child3.tag.endswith('position'):
                                position_X = float(child3.get("x"))
                                position_Y = float(child3.get("y"))
                            elif child3.tag.endswith("dimension"):
                                dimension_X = float(child3.get("x"))
                                dimension_Y = float(child3.get("y"))
                places_dict[place_id] = PetriNet.Place(place_id)
                places_dict[place_id].properties[
                    constants.PLACE_NAME_TAG] = place_name
                net.places.add(places_dict[place_id])
                if position_X is not None and position_Y is not None and dimension_X is not None and dimension_Y is not None:
                    places_dict[place_id].properties[
                        constants.LAYOUT_INFORMATION_PETRI] = ((position_X,
                                                                position_Y),
                                                               (dimension_X,
                                                                dimension_Y))
                if number > 0:
                    marking[places_dict[place_id]] = number
                del place_name

    if page is not None:
        for child in page:
            if child.tag.endswith("transition"):
                position_X = None
                position_Y = None
                dimension_X = None
                dimension_Y = None
                trans_name = child.get("id")
                trans_label = trans_name
                trans_visible = True

                random_variable = None

                for child2 in child:
                    if child2.tag.endswith("name"):
                        for child3 in child2:
                            if child3.text:
                                if trans_label == trans_name:
                                    trans_label = child3.text
                    if child2.tag.endswith("graphics"):
                        for child3 in child2:
                            if child3.tag.endswith("position"):
                                position_X = float(child3.get("x"))
                                position_Y = float(child3.get("y"))
                            elif child3.tag.endswith("dimension"):
                                dimension_X = float(child3.get("x"))
                                dimension_Y = float(child3.get("y"))
                    if child2.tag.endswith("toolspecific"):
                        tool = child2.get("tool")
                        if "ProM" in tool:
                            activity = child2.get("activity")
                            if "invisible" in activity:
                                trans_visible = False
                        elif "StochasticPetriNet" in tool:
                            distribution_type = None
                            distribution_parameters = None
                            priority = None
                            weight = None

                            for child3 in child2:
                                key = child3.get("key")
                                value = child3.text

                                if key == "distributionType":
                                    distribution_type = value
                                elif key == "distributionParameters":
                                    distribution_parameters = value
                                elif key == "priority":
                                    priority = int(value)
                                elif key == "weight":
                                    weight = float(value)

                            random_variable = RandomVariable()
                            random_variable.read_from_string(
                                distribution_type, distribution_parameters)
                            random_variable.set_priority(priority)
                            random_variable.set_weight(weight)

                if not trans_visible:
                    trans_label = None
                # if "INVISIBLE" in trans_label:
                #    trans_label = None

                trans_dict[trans_name] = PetriNet.Transition(
                    trans_name, trans_label)
                net.transitions.add(trans_dict[trans_name])

                if random_variable is not None:
                    trans_dict[trans_name].properties[
                        constants.STOCHASTIC_DISTRIBUTION] = random_variable
                if position_X is not None and position_Y is not None and dimension_X is not None and dimension_Y is not None:
                    trans_dict[trans_name].properties[
                        constants.LAYOUT_INFORMATION_PETRI] = ((position_X,
                                                                position_Y),
                                                               (dimension_X,
                                                                dimension_Y))

    if page is not None:
        for child in page:
            if child.tag.endswith("arc"):
                arc_source = child.get("source")
                arc_target = child.get("target")
                arc_weight = 1

                for arc_child in child:
                    if arc_child.tag.endswith("inscription"):
                        for text_arcweight in arc_child:
                            if text_arcweight.tag.endswith("text"):
                                arc_weight = int(text_arcweight.text)

                if arc_source in places_dict and arc_target in trans_dict:
                    add_arc_from_to(places_dict[arc_source],
                                    trans_dict[arc_target],
                                    net,
                                    weight=arc_weight)
                elif arc_target in places_dict and arc_source in trans_dict:
                    add_arc_from_to(trans_dict[arc_source],
                                    places_dict[arc_target],
                                    net,
                                    weight=arc_weight)

    if finalmarkings is not None:
        for child in finalmarkings:
            for child2 in child:
                place_id = child2.get("idref")
                for child3 in child2:
                    if child3.tag.endswith("text"):
                        number = int(child3.text)
                        if number > 0:
                            fmarking[places_dict[place_id]] = number

    # generate the final marking in the case has not been found
    if len(fmarking) == 0:
        fmarking = final_marking.discover_final_marking(net)

    return net, marking, fmarking
Пример #7
0
def apply(dfg, parameters=None):
    """
    Applies the DFG mining on a given object (if it is a Pandas dataframe or a log, the DFG is calculated)

    Parameters
    -------------
    dfg
        Object (DFG) (if it is a Pandas dataframe or a log, the DFG is calculated)
    parameters
        Parameters
    """
    if parameters is None:
        parameters = {}

    dfg = dfg
    start_activities = parameters[
        PARAM_KEY_START_ACTIVITIES] if PARAM_KEY_START_ACTIVITIES in parameters else dfg_utils.infer_start_activities(
            dfg)
    end_activities = parameters[
        PARAM_KEY_END_ACTIVITIES] if PARAM_KEY_END_ACTIVITIES in parameters else dfg_utils.infer_end_activities(
            dfg)
    activities = dfg_utils.get_activities_from_dfg(dfg)

    net = PetriNet("")
    im = Marking()
    fm = Marking()

    source = PetriNet.Place("source")
    net.places.add(source)
    im[source] = 1
    sink = PetriNet.Place("sink")
    net.places.add(sink)
    fm[sink] = 1

    places_corr = {}
    index = 0

    for act in activities:
        places_corr[act] = PetriNet.Place(act)
        net.places.add(places_corr[act])

    for act in start_activities:
        if act in places_corr:
            index = index + 1
            trans = PetriNet.Transition(act + "_" + str(index), act)
            net.transitions.add(trans)
            add_arc_from_to(source, trans, net)
            add_arc_from_to(trans, places_corr[act], net)

    for act in end_activities:
        if act in places_corr:
            index = index + 1
            inv_trans = PetriNet.Transition(act + "_" + str(index), None)
            net.transitions.add(inv_trans)
            add_arc_from_to(places_corr[act], inv_trans, net)
            add_arc_from_to(inv_trans, sink, net)

    for el in dfg.keys():
        act1 = el[0]
        act2 = el[1]

        index = index + 1
        trans = PetriNet.Transition(act2 + "_" + str(index), act2)
        net.transitions.add(trans)

        add_arc_from_to(places_corr[act1], trans, net)
        add_arc_from_to(trans, places_corr[act2], net)

    return net, im, fm
Пример #8
0
def processing(log, causal, follows):
    """
    Applying the Alpha Miner with the new relations

    Parameters
    -------------
    log
        Filtered log
    causal
        Pairs that have a causal relation (->)
    follows
        Pairs that have a follow relation (>)

    Returns
    -------------
    net
        Petri net
    im
        Initial marking
    fm
        Final marking
    """
    # create list of all events
    labels = set()
    start_activities = set()
    end_activities = set()
    for trace in log:
        start_activities.add(trace.__getitem__(0))
        end_activities.add(trace.__getitem__(len(trace) - 1))
        for events in trace:
            labels.add(events)
    labels = list(labels)
    pairs = []

    for key, element in causal.items():
        for item in element:
            if get_sharp_relation(follows, key, key):
                if get_sharp_relation(follows, item, item):
                    pairs.append(({key}, {item}))

    # combining pairs
    for i in range(0, len(pairs)):
        t1 = pairs[i]
        for j in range(i, len(pairs)):
            t2 = pairs[j]
            if t1 != t2:
                if t1[0].issubset(t2[0]) or t1[1].issubset(t2[1]):
                    if get_sharp_relations_for_sets(
                            follows, t1[0],
                            t2[0]) and get_sharp_relations_for_sets(
                                follows, t1[1], t2[1]):
                        new_alpha_pair = (t1[0] | t2[0], t1[1] | t2[1])
                        if new_alpha_pair not in pairs:
                            pairs.append((t1[0] | t2[0], t1[1] | t2[1]))
    # maximize pairs
    cleaned_pairs = list(filter(lambda p: __pair_maximizer(pairs, p), pairs))
    # create transitions
    net = PetriNet('alpha_plus_net_' + str(time.time()))
    label_transition_dict = {}
    for label in labels:
        if label != 'artificial_start' and label != 'artificial_end':
            label_transition_dict[label] = PetriNet.Transition(label, label)
            net.transitions.add(label_transition_dict[label])
        else:
            label_transition_dict[label] = PetriNet.Transition(label, None)
            net.transitions.add(label_transition_dict[label])
    # and source and sink
    src = add_source(net, start_activities, label_transition_dict)
    sink = add_sink(net, end_activities, label_transition_dict)
    # create places
    for pair in cleaned_pairs:
        place = PetriNet.Place(str(pair))
        net.places.add(place)
        for in_arc in pair[0]:
            add_arc_from_to(label_transition_dict[in_arc], place, net)
        for out_arc in pair[1]:
            add_arc_from_to(place, label_transition_dict[out_arc], net)

    return net, Marking({src: 1}), Marking({sink: 1}), cleaned_pairs
Пример #9
0
def apply_dfg_sa_ea(dfg, start_activities, end_activities, parameters=None):
    """
    Applying Alpha Miner starting from the knowledge of the Directly Follows graph,
    and of the start activities and end activities in the log (possibly inferred from the DFG)

    Parameters
    ------------
    dfg
        Directly-Follows graph
    start_activities
        Start activities
    end_activities
        End activities
    parameters
        Parameters of the algorithm including:
            activity key -> name of the attribute that contains the activity

    Returns
    -------
    net : :class:`pm4py.entities.petri.petrinet.PetriNet`
        A Petri net describing the event log that is provided as an input
    initial marking : :class:`pm4py.models.net.Marking`
        marking object representing the initial marking
    final marking : :class:`pm4py.models.net.Marking`
        marking object representing the final marking, not guaranteed that it is actually reachable!
    """
    if parameters is None:
        parameters = {}

    activity_key = exec_utils.get_param_value(
        Parameters.ACTIVITY_KEY, parameters,
        pm_util.xes_constants.DEFAULT_NAME_KEY)

    if start_activities is None:
        start_activities = dfg_utils.infer_start_activities(dfg)

    if end_activities is None:
        end_activities = dfg_utils.infer_end_activities(dfg)

    labels = set()
    for el in dfg:
        labels.add(el[0])
        labels.add(el[1])
    for a in start_activities:
        labels.add(a)
    for a in end_activities:
        labels.add(a)
    labels = list(labels)

    alpha_abstraction = alpha_classic_abstraction.ClassicAlphaAbstraction(
        start_activities, end_activities, dfg, activity_key=activity_key)
    pairs = list(
        map(
            lambda p: ({p[0]}, {p[1]}),
            filter(
                lambda p: __initial_filter(alpha_abstraction.parallel_relation,
                                           p),
                alpha_abstraction.causal_relation)))
    for i in range(0, len(pairs)):
        t1 = pairs[i]
        for j in range(i, len(pairs)):
            t2 = pairs[j]
            if t1 != t2:
                if t1[0].issubset(t2[0]) or t1[1].issubset(t2[1]):
                    if not (__check_is_unrelated(
                            alpha_abstraction.parallel_relation,
                            alpha_abstraction.causal_relation, t1[0], t2[0])
                            or __check_is_unrelated(
                                alpha_abstraction.parallel_relation,
                                alpha_abstraction.causal_relation, t1[1],
                                t2[1])):
                        new_alpha_pair = (t1[0] | t2[0], t1[1] | t2[1])
                        if new_alpha_pair not in pairs:
                            pairs.append((t1[0] | t2[0], t1[1] | t2[1]))
    internal_places = filter(lambda p: __pair_maximizer(pairs, p), pairs)
    net = PetriNet('alpha_classic_net_' + str(time.time()))
    label_transition_dict = {}

    for i in range(0, len(labels)):
        label_transition_dict[labels[i]] = PetriNet.Transition(
            labels[i], labels[i])
        net.transitions.add(label_transition_dict[labels[i]])

    src = __add_source(net, alpha_abstraction.start_activities,
                       label_transition_dict)
    sink = __add_sink(net, alpha_abstraction.end_activities,
                      label_transition_dict)

    for pair in internal_places:
        place = PetriNet.Place(str(pair))
        net.places.add(place)
        for in_arc in pair[0]:
            add_arc_from_to(label_transition_dict[in_arc], place, net)
        for out_arc in pair[1]:
            add_arc_from_to(place, label_transition_dict[out_arc], net)
    return net, Marking({src: 1}), Marking({sink: 1})
    def setUp(self):
        self.trace_net = PetriNet('trace net of %s' % str(1))

        activities = ['a', 'b', 'c', 'd']
        transitions = []
        artificial_start_transition = PetriNet.Transition('start', 'start')
        artificial_end_transition = PetriNet.Transition('end', 'end')

        place = PetriNet.Place('p_0')
        self.trace_net.places.add(place)
        utils.add_arc_from_to(place, artificial_start_transition,
                              self.trace_net)
        self.trace_net.transitions.add(artificial_start_transition)
        self.trace_net.transitions.add(artificial_end_transition)

        i = 0
        for index, activity in enumerate(activities):
            place = PetriNet.Place('p_' + str(i))
            self.trace_net.places.add(place)
            utils.add_arc_from_to(artificial_start_transition, place,
                                  self.trace_net)
            transition = PetriNet.Transition(
                't_' + activities[index] + '_' + str(index), activities[index])
            self.trace_net.transitions.add(transition)
            utils.add_arc_from_to(place, transition, self.trace_net)
            place = PetriNet.Place('p_' + str(i + 1))
            self.trace_net.places.add(place)
            utils.add_arc_from_to(transition, place, self.trace_net)
            utils.add_arc_from_to(place, artificial_end_transition,
                                  self.trace_net)
            i = i + 1

        place = PetriNet.Place('p_' + str(i))
        self.trace_net.places.add(place)
        utils.add_arc_from_to(artificial_end_transition, place, self.trace_net)

        transition_a = [
            transition for transition in self.trace_net.transitions
            if transition.label == 'a'
        ][0]
        transition_b = [
            transition for transition in self.trace_net.transitions
            if transition.label == 'b'
        ][0]
        transition_c = [
            transition for transition in self.trace_net.transitions
            if transition.label == 'c'
        ][0]
        transition_d = [
            transition for transition in self.trace_net.transitions
            if transition.label == 'd'
        ][0]

        place = PetriNet.Place('p_' + str(i + 1))
        self.trace_net.places.add(place)
        utils.add_arc_from_to(transition_a, place, self.trace_net)
        utils.add_arc_from_to(place, transition_b, self.trace_net)

        place = PetriNet.Place('p_' + str(i + 2))
        self.trace_net.places.add(place)
        utils.add_arc_from_to(transition_a, place, self.trace_net)
        utils.add_arc_from_to(place, transition_c, self.trace_net)

        place = PetriNet.Place('p_' + str(i + 3))
        self.trace_net.places.add(place)
        utils.add_arc_from_to(transition_a, place, self.trace_net)
        utils.add_arc_from_to(place, transition_d, self.trace_net)

        place = PetriNet.Place('p_' + str(i + 4))
        self.trace_net.places.add(place)
        utils.add_arc_from_to(transition_b, place, self.trace_net)
        utils.add_arc_from_to(place, transition_d, self.trace_net)

        place = PetriNet.Place('p_' + str(i + 5))
        self.trace_net.places.add(place)
        utils.add_arc_from_to(transition_c, place, self.trace_net)
        utils.add_arc_from_to(place, transition_d, self.trace_net)

        filename = "partially_ordered_test_log.xes"
        path = os.path.join("/GitHub/pm4py-source/tests/input_data", filename)
        self.log = importer.import_log(path)
def execute_script():
    net = PetriNet("")
    start = PetriNet.Place("start")
    end = PetriNet.Place("end")
    c1 = PetriNet.Place("c1")
    c2 = PetriNet.Place("c2")
    c3 = PetriNet.Place("c3")
    c4 = PetriNet.Place("c4")
    c5 = PetriNet.Place("c5")
    c6 = PetriNet.Place("c6")
    c7 = PetriNet.Place("c7")
    c8 = PetriNet.Place("c8")
    c9 = PetriNet.Place("c9")
    net.places.add(c1)
    net.places.add(c2)
    net.places.add(c3)
    net.places.add(c4)
    net.places.add(c5)
    net.places.add(c6)
    net.places.add(c7)
    net.places.add(c8)
    net.places.add(c9)
    net.places.add(start)
    net.places.add(end)
    t1 = PetriNet.Transition("t1", "a")
    t2 = PetriNet.Transition("t2", None)
    t3 = PetriNet.Transition("t3", "b")
    t4 = PetriNet.Transition("t4", "c")
    t5 = PetriNet.Transition("t5", "d")
    t6 = PetriNet.Transition("t6", "e")
    t7 = PetriNet.Transition("t7", None)
    t8 = PetriNet.Transition("t8", "f")
    t9 = PetriNet.Transition("t9", "g")
    t10 = PetriNet.Transition("t10", "h")
    t11 = PetriNet.Transition("t11", None)
    net.transitions.add(t1)
    net.transitions.add(t2)
    net.transitions.add(t3)
    net.transitions.add(t4)
    net.transitions.add(t5)
    net.transitions.add(t6)
    net.transitions.add(t7)
    net.transitions.add(t8)
    net.transitions.add(t9)
    net.transitions.add(t10)
    net.transitions.add(t11)
    add_arc_from_to(start, t1, net)
    add_arc_from_to(t1, c1, net)
    add_arc_from_to(t1, c2, net)
    add_arc_from_to(c1, t2, net)
    add_arc_from_to(c1, t3, net)
    add_arc_from_to(c2, t4, net)
    add_arc_from_to(t2, c3, net)
    add_arc_from_to(t3, c3, net)
    add_arc_from_to(t4, c4, net)
    add_arc_from_to(c3, t5, net)
    add_arc_from_to(c4, t5, net)
    add_arc_from_to(t5, c5, net)
    add_arc_from_to(c5, t6, net)
    add_arc_from_to(t6, c1, net)
    add_arc_from_to(t6, c2, net)
    add_arc_from_to(c5, t7, net)
    add_arc_from_to(t7, c7, net)
    add_arc_from_to(t7, c6, net)
    add_arc_from_to(c7, t8, net)
    add_arc_from_to(c6, t9, net)
    add_arc_from_to(t8, c8, net)
    add_arc_from_to(t9, c9, net)
    add_arc_from_to(c8, t11, net)
    add_arc_from_to(c9, t11, net)
    add_arc_from_to(t11, end, net)
    add_arc_from_to(c5, t10, net)
    add_arc_from_to(t10, end, net)
    im = Marking()
    im[start] = 1
    fm = Marking()
    fm[end] = 1
    gvizs = []
    gvizs.append(
        visualizer.apply(net,
                         im,
                         final_marking=fm,
                         parameters={"format": "svg"}))
    visualizer.view(gvizs[len(gvizs) - 1])
    decomposed_net = decomposition.decompose(net, im, fm)
    for snet, sim, sfm in decomposed_net:
        gvizs.append(
            visualizer.apply(snet,
                             sim,
                             final_marking=sfm,
                             parameters={"format": "svg"}))
        visualizer.view(gvizs[len(gvizs) - 1])
Пример #12
0
def preprocess(graph):
    """
    Takes in graph, a json string representing a petrinet.
    Checks if graph conforms to the standard, if it doesn't an exception is thrown.
    If it does, creates a pm4py PetriNet object out of the petri net encoded in the graph object.
    :return: A PetriNet object.
    """

    graph = json.loads(graph)

    # Check if the given json has all the keys we need
    if not has_keys(graph):
        return None

    # Check if the labels of all nodes are unique
    if not unique_labels(graph):
        return None

    # Check if all nodes (place/transition) have a non empty label
    if not no_empty_label(graph):
        return None

    # Create PetriNet object
    net = PetriNet("converted_graph")

    # Store an ordered list of the vertices to make it easier to connect them through arcs
    ordered_vertices = []

    # Add all vertices (places and transitions) to net
    for vertex in graph['vertices']:
        label = vertex['label'].strip()
        if vertex['petri_type'] == "place":
            new_place = PetriNet.Place(label)
            new_place.properties['position'] = vertex['position']
            new_place.properties['tokens'] = vertex['tokens']

            net.places.add(new_place)
            ordered_vertices.append(new_place)
        elif vertex['petri_type'] == "transition":
            new_transition = PetriNet.Transition(label, label)
            new_transition.properties['position'] = vertex['position']

            net.transitions.add(new_transition)
            ordered_vertices.append(new_transition)

    # Add all edges (arcs) to net
    for edge in graph['edges']:
        source = ordered_vertices[edge['from']]
        target = ordered_vertices[edge['to']]

        # TODO: Change this if you want to get the edge weight another way.
        edge_weight = 1
        if edge['label'] != '':
            try:
                num = int(edge['label'])
                edge_weight = num
            except:
                raise Exception(
                    "There is an edge with a label that is not a number.")

        # Create arc object of weight 1
        arc = PetriNet.Arc(source, target, edge_weight)
        # Add extra properties
        arc.properties['name'] = edge['label']
        arc.properties['bend'] = edge['bend']

        # Add the arc to the net and the source and target objects
        net.arcs.add(arc)
        source.out_arcs.add(arc)
        target.in_arcs.add(arc)

    return net
def project(net0, im0, fm0, allowed_transitions):
    """
    Project a Petri Net on a set of transitions provided by the user

    Parameters
    -------------
    net0
        Petri net
    im0
        Initial marking
    fm0
        Final marking
    allowed_transitions
        Sets of allowed transitions

    Returns
    -------------
    net
        Projected net
    im
        Projected initial marking
    fm
        Projected final marking
    """
    [net, im1, fm1] = deepcopy([net0, im0, fm0])

    # keep only visible transitions that have a label in allowed_transitions
    trans_list = list(net.transitions)
    for trans in trans_list:
        if trans.label is not None and trans.name not in allowed_transitions:
            net = utils.remove_transition(net, trans)

    # create a fictious Petri net
    old_net = PetriNet("")
    # remove unconnected elements until a 'stable' platform is reached
    n_it = 0
    while not (len(old_net.places) == len(net.places)
               and len(old_net.transitions) == len(net.transitions)
               and len(old_net.arcs) == len(net.arcs)):
        n_it = n_it + 1
        old_net = deepcopy(net)
        trans_list = list(net.transitions)
        for trans in trans_list:
            # remove invisible transitions that have no input or output arcs
            if trans.label is None and (
                    len(trans.in_arcs) == 0 or len(trans.out_arcs)
                    == 0) and trans.name not in allowed_transitions:
                net = utils.remove_transition(net, trans)
                continue

        places_list = list(net.places)

        for place in places_list:
            # remove places that have no input or output arcs
            if len(place.in_arcs) == 0 and (not place in im1
                                            or len(place.out_arcs) == 0):
                net = utils.remove_place(net, place)
                continue

        # now the goal is to remove further places, but being carefully to not remove something structurally relevant

        for place in places_list:
            all_inputs = [arc.source for arc in place.in_arcs]
            hid_input = [
                trans for trans in all_inputs if trans.label is None
                and trans.name not in allowed_transitions
            ]
            all_outputs = [arc.target for arc in place.out_arcs]
            hid_output = [
                trans for trans in all_outputs if trans.label is None
                and trans.name not in allowed_transitions
            ]

            if len(hid_input) == len(all_inputs) and len(hid_output) == len(
                    all_outputs):
                net = utils.remove_place(net, place)
                continue

    im = Marking()
    fm = Marking()

    for place in im1:
        if place in net.places:
            im[place] = im1[place]

    for place in fm1:
        if place in net.places:
            fm[place] = fm1[place]

    return net, im, fm
Пример #14
0
def ex_petrinet():
    net = PetriNet()

    # transitions
    a = PetriNet.Transition('a', label='a')
    b = PetriNet.Transition('b', label='b')
    c = PetriNet.Transition('c', label='c')
    d = PetriNet.Transition('d', label='d')
    e = PetriNet.Transition('e', label='e')
    f = PetriNet.Transition('f', label='f')
    g = PetriNet.Transition('g', label='g')
    h = PetriNet.Transition('h', label='h')
    inv0 = PetriNet.Transition('inv0', label=None)
    inv1 = PetriNet.Transition('inv1', label=None)

    trans = [a, b, c, d, e, f, g, h, inv0, inv1]

    # places
    p0 = PetriNet.Place('p0')
    p1 = PetriNet.Place('p1')
    p2 = PetriNet.Place('p2')
    p3 = PetriNet.Place('p3')
    p4 = PetriNet.Place('p4')
    p5 = PetriNet.Place('p5')
    p6 = PetriNet.Place('p6')
    p7 = PetriNet.Place('p7')
    p8 = PetriNet.Place('p8')
    p9 = PetriNet.Place('p9')
    p10 = PetriNet.Place('p10')
    p11 = PetriNet.Place('p11')

    places = [p0, p1, p2, p3, p4, p5, p6, p7, p8, p9, p10, p11]

    # arcs
    p0_a = PetriNet.Arc(p0, a)
    p1_c = PetriNet.Arc(p1, c)
    p2_inv0 = PetriNet.Arc(p2, inv0)
    p3_e = PetriNet.Arc(p3, e)
    p4_f = PetriNet.Arc(p4, f)
    p5_g = PetriNet.Arc(p5, g)
    p6_inv1 = PetriNet.Arc(p6, inv1)
    p7_inv1 = PetriNet.Arc(p7, inv1)
    p8_inv1 = PetriNet.Arc(p8, inv1)
    p9_d = PetriNet.Arc(p9, d)
    p10_h = PetriNet.Arc(p10, h)
    p10_b = PetriNet.Arc(p10, b)

    a_p1 = PetriNet.Arc(a, p1)
    c_p2 = PetriNet.Arc(c, p2)
    inv0_p3 = PetriNet.Arc(inv0, p3)
    inv0_p4 = PetriNet.Arc(inv0, p4)
    inv0_p5 = PetriNet.Arc(inv0, p5)
    e_p6 = PetriNet.Arc(e, p6)
    f_p7 = PetriNet.Arc(f, p7)
    g_p8 = PetriNet.Arc(g, p8)
    inv1_p9 = PetriNet.Arc(inv1, p9)
    d_p10 = PetriNet.Arc(d, p10)
    h_p1 = PetriNet.Arc(h, p1)
    b_p11 = PetriNet.Arc(b, p11)

    arcs = [
        p0_a, p1_c, p2_inv0, p3_e, p4_f, p5_g, p6_inv1, p7_inv1, p8_inv1, p9_d,
        p10_h, p10_b, a_p1, c_p2, inv0_p3, inv0_p4, inv0_p5, e_p6, f_p7, g_p8,
        inv1_p9, d_p10, h_p1, b_p11
    ]

    for arc in arcs:
        arc.source.out_arcs.add(arc)
        arc.target.in_arcs.add(arc)

    net.transitions.update(trans)
    net.places.update(places)
    net.arcs.update(arcs)

    init_marking = Marking([p0])
    final_marking = Marking([p11])

    return net, init_marking, final_marking