def get_nfv_distribution(ratio, host_num, file_path):
    CODEC = 'utf-8'
    mynet = "8s9vnf.json"
    g = DiGraph(mynet)
    #自定义VNF的处理能力(1-10)
    capacity = {
        'F1': 10,
        'F2': 10,
        'F3': 10,
        'I1': 10,
        'I2': 10,
        'I3': 10,
        'P1': 10,
        'P2': 10,
        'P3': 10
    }
    each_NF_num = 3
    #the number of 80 hosts
    flowDic = get_flows(host_num, ratio)
    flow_number = len(flowDic)
    print "flow_number", flow_number
    #Find out which streams of each type of NF have passed
    flow = {}
    flow['F'] = []
    flow['I'] = []
    flow['P'] = []
    for key in flowDic:
        if 'F' in str(flowDic[key][3]):
            flow['F'].append(key)
        if 'I' in str(flowDic[key][3]):
            flow['I'].append(key)
        if 'P' in str(flowDic[key][3]):
            flow['P'].append(key)
    #j stands for 9 processors, i stands for task (flow)
    p = [([0] * len(flow) * 3) for i in range(len(flowDic))]
    for j in capacity.keys():
        #compute Pij= brand*distance(S-VNF-D) / processors
        if 'F' in j:
            if '1' in j:
                row = 0
            elif '2' in j:
                row = 1
            elif '3' in j:
                row = 2
            for i in flow['F']:
                #src,vnf,dst
                # print flowDic[i][0],j,flowDic[i][1]
                path1 = dijkstra(g, flowDic[i][0], j)
                path2 = dijkstra(g, j, flowDic[i][1])
                distance = path1.get('cost') + path2.get('cost')
                bandwidth = flowDic[int(i)][2]
                power = capacity[j]
                #print power
                p[i - 1][row] = bandwidth * distance / power
                #print i
                #print p[i-1][row]
        elif 'I' in j:
            if '1' in j:
                row = 3
            elif '2' in j:
                row = 4
            elif '3' in j:
                row = 5
            for i in flow['I']:
                #print flowDic[i][0],j,flowDic[i][1]
                path1 = dijkstra(g, flowDic[i][0], j)
                path2 = dijkstra(g, j, flowDic[i][1])
                distance = path1.get('cost') + path2.get('cost')
                bandwidth = flowDic[int(i)][2]
                power = capacity[j]
                #print power
                p[i - 1][row] = bandwidth * distance / power
                #print i
                #print p[i-1][row]
        elif 'P' in j:
            if '1' in j:
                row = 6
            elif '2' in j:
                row = 7
            elif '3' in j:
                row = 8
            for i in flow['P']:
                #print flowDic[i][0],j,flowDic[i][1]
                path1 = dijkstra(g, flowDic[i][0], j)
                path2 = dijkstra(g, j, flowDic[i][1])
                distance = path1.get('cost') + path2.get('cost')
                bandwidth = flowDic[int(i)][2]
                power = capacity[j]
                #print power
                p[i - 1][row] = bandwidth * distance / power
                #print i
                #print p[i-1][row]
    print "p", p
    '''
    Solving linear equation
    '''
    #x[i][j] :Indicates that the ith stream passes through the jth vnf, and j(0-8) represents [F1, F2, F3, I1, I2, I3, P1, P2, P3]
    '''Which F passed'''
    x = [[0 for col in range(3)] for row in range(len(flowDic))]
    #print x
    for i in range(0, len(flowDic)):
        for j in range(0, 3):
            x[i][j] = "x"
            if len(flowDic) < 100000:
                if i < 10:
                    x[i][j] = x[i][j] + "0000"
                elif i < 100:
                    x[i][j] = x[i][j] + "000"
                elif i < 1000:
                    x[i][j] = x[i][j] + "00"
                elif i < 10000:
                    x[i][j] = x[i][j] + "0"
            x[i][j] = x[i][j] + str(i) + str(j)

    z = []
    for i in range(0, len(flowDic)):
        z.append("z" + str(i))

    temp = []
    for i in range(0, len(flowDic)):
        for j in range(0,
                       3):  # 3 si the number of path that each flow can choose
            temp.append(x[i][j])
    for i in range(0, len(flowDic)):
        temp.append(z[i])

    prob = LpProblem('lptest', LpMinimize)
    r = LpVariable('r', lowBound=0)
    xx = LpVariable.dicts("", temp, lowBound=0,
                          upBound=1)  #,cat = pulp.LpInteger
    print x[0]
    #Add target equation
    prob += r
    #0->F(0,1,2);1->I(3,4,5);2->P(6,7,8)
    x_e = defaultdict(lambda: (defaultdict(lambda:
                                           (defaultdict(lambda: None)))))
    for i in range(3):
        for j in range(len(flowDic)):
            x_e[i][j][0] = x[j][i]
            x_e[i][j][1] = p[j][i]
    for i in range(0, 3):
        prob += lpSum(xx[x_e[i][j][0]] * x_e[i][j][1] for j in x_e[i]) <= r
    #Add constraints
    for i in range(0, len(flowDic)):
        prob += lpSum([xx[j] for j in x[i]]) == 1
    #solve the question
    GLPK().solve(prob)
    print 'objective_sr =', value(prob.objective)

    i = 0
    j = 0
    l = 0
    for v in prob.variables():
        l = l + 1
        if l < flow_number * 3 + 1:  #(the number of flows /cdot 3) +1
            x[i][j] = v.varValue
            if j < 2:
                j = j + 1
            else:
                i = i + 1
                j = 0
    for i in range(0, flow_number):
        k = 0
        choose = 0
        for j in range(0, 3):
            if x[i][j] >= k:
                choose = j
                k = x[i][j]
        for j in range(0, 3):
            if j == choose:
                x[i][j] = 1
            else:
                x[i][j] = 0

    for i in range(0, flow_number):
        if ('F' in str(flowDic[i + 1][3])):
            for j in range(0, 3):
                if x[i][j] == 1:
                    flowDic[i + 1].append(j)
    '''which I'''
    p_1 = [([0] * 3) for i in range(len(flowDic))]
    for i in range(len(flowDic)):
        for j in range(3):
            p_1[i][j] = p[i][j + 3]
    x1 = [[0 for col in range(3)] for row in range(len(flowDic))]
    for i in range(0, len(flowDic)):
        for j in range(0, 3):
            x1[i][j] = "x"
            if len(flowDic) < 100000:
                if i < 10:
                    x1[i][j] = x1[i][j] + "0000"
                elif i < 100:
                    x1[i][j] = x1[i][j] + "000"
                elif i < 1000:
                    x1[i][j] = x1[i][j] + "00"
                elif i < 10000:
                    x1[i][j] = x1[i][j] + "0"
            x1[i][j] = x1[i][j] + str(i) + str(j)

    z1 = []
    for i in range(0, len(flowDic)):
        z1.append("z" + str(i))

    temp1 = []
    for i in range(0, len(flowDic)):
        for j in range(0,
                       3):  # 3 si the number of path that each flow can choose
            temp1.append(x1[i][j])
    for i in range(0, len(flowDic)):
        temp1.append(z1[i])

    prob1 = LpProblem('lptest1', LpMinimize)
    r1 = LpVariable('r1', lowBound=0)
    xx1 = LpVariable.dicts("", temp1, lowBound=0,
                           upBound=1)  #, cat = pulp.LpInteger
    prob1 += r1
    #0->F(0,1,2);1->I(3,4,5);2->P(6,7,8)
    x_e1 = defaultdict(lambda: (defaultdict(lambda:
                                            (defaultdict(lambda: None)))))
    for i in range(3):
        for j in range(len(flowDic)):
            x_e1[i][j][0] = x1[j][i]
            x_e1[i][j][1] = p_1[j][i]
    for i in range(0, 3):
        prob1 += lpSum(xx1[x_e1[i][j][0]] * x_e1[i][j][1]
                       for j in x_e1[i]) <= r1
    for i in range(0, len(flowDic)):
        prob1 += lpSum([xx1[j] for j in x1[i]]) == 1
    GLPK().solve(prob1)
    print 'objective_sr =', value(prob1.objective)

    i = 0
    j = 0
    l = 0
    for v in prob1.variables():
        l = l + 1
        if l < flow_number * 3 + 1:  #(the number of flows /cdot 3) +1
            x[i][j] = v.varValue
            if j < 2:
                j = j + 1
            else:
                i = i + 1
                j = 0
    for i in range(0, flow_number):
        k = 0
        choose = 0
        for j in range(0, 3):
            if x[i][j] >= k:
                choose = j
                k = x[i][j]
        for j in range(0, 3):
            if j == choose:
                x[i][j] = 1
            else:
                x[i][j] = 0

    for i in range(0, flow_number):
        if ('I' in str(flowDic[i + 1][3])):
            for j in range(0, 3):
                if x[i][j] == 1:
                    flowDic[i + 1].append(j)
    '''which P'''
    p_3 = [([0] * 3) for i in range(len(flowDic))]
    for i in range(len(flowDic)):
        for j in range(3):
            p_3[i][j] = p[i][j + 6]
    print p_3
    x3 = [[0 for col in range(3)] for row in range(len(flowDic))]
    for i in range(0, len(flowDic)):
        for j in range(0, 3):
            x3[i][j] = "x"
            if len(flowDic) < 100000:
                if i < 10:
                    x3[i][j] = x3[i][j] + "0000"
                elif i < 100:
                    x3[i][j] = x3[i][j] + "000"
                elif i < 1000:
                    x3[i][j] = x3[i][j] + "00"
                elif i < 10000:
                    x3[i][j] = x3[i][j] + "0"
            x3[i][j] = x3[i][j] + str(i) + str(j)
    z3 = []
    for i in range(0, len(flowDic)):
        z3.append("z3" + str(i))

    temp3 = []
    for i in range(0, len(flowDic)):
        for j in range(0,
                       3):  # 3 si the number of path that each flow can choose
            temp3.append(x3[i][j])
    for i in range(0, len(flowDic)):
        temp3.append(z3[i])

    prob3 = LpProblem('lptest3', LpMinimize)
    r3 = LpVariable('r3', lowBound=0)
    xx3 = LpVariable.dicts("", temp3, lowBound=0,
                           upBound=1)  #, cat = pulp.LpInteger
    prob3 += r3
    x_e3 = defaultdict(lambda: (defaultdict(lambda:
                                            (defaultdict(lambda: None)))))
    for i in range(3):
        for j in range(len(flowDic)):
            x_e3[i][j][0] = x3[j][i]
            x_e3[i][j][1] = p_3[j][i]
    for i in range(0, 3):
        prob3 += lpSum(xx3[x_e3[i][j][0]] * x_e3[i][j][1]
                       for j in x_e3[i]) <= r3
    for i in range(0, len(flowDic)):
        prob3 += lpSum([xx3[j] for j in x3[i]]) == 1
    GLPK().solve(prob3)
    print 'objective_sr =', value(prob3.objective)

    i = 0
    j = 0
    l = 0
    for v in prob3.variables():
        l = l + 1
        if l < flow_number * 3 + 1:  #(the number of flows /cdot 3) +1
            x[i][j] = v.varValue
            if j < 2:
                j = j + 1
            else:
                i = i + 1
                j = 0
    for i in range(0, flow_number):
        k = 0
        choose = 0
        for j in range(0, 3):
            if x[i][j] >= k:
                choose = j
                k = x[i][j]
        for j in range(0, 3):
            if j == choose:
                x[i][j] = 1
            else:
                x[i][j] = 0

    for i in range(0, flow_number):
        if ('P' in str(flowDic[i + 1][3])):
            for j in range(0, 3):
                if x[i][j] == 1:
                    flowDic[i + 1].append(j)
            #print flowDic[i+1]

    flow_vnf = file_path + '/flow_vnf.txt'
    file = open(flow_vnf, 'w')

    NF_load = (defaultdict(lambda: None))
    for i in capacity:
        NF_load[i] = 0

    for t in flowDic:
        line = str(flowDic[t])
        newsDate = txt_wrap_by("'", "'", line, 0)
        flow_rate = txt_wrap_by2(",", ",", line)[1]
        #print "flow-rate",flow_rate
        nf_number = []  #Save the serial number of each passed NF
        h = txt_wrap_by2(",", ",", line)
        for i in range(3, len(h)):
            nf_number.append(h[i])
        ff = find_n_sub_str(line, ",", 3, 0)

        sfc_len = (len(newsDate[2]) + 1) / 2
        k = find_n_sub_str(line, ",", 2 + sfc_len,
                           0)  # Find the index where the last comma is located
        nf_number.append(txt_wrap_by(",", "]", line, k)[0])

        flow_path = []
        flow_path.append(newsDate[0])
        for i in range(0, sfc_len):
            flow_path.append(
                str(newsDate[2][2 * i]) + str(int(nf_number[i]) + 1))
        flow_path.append(newsDate[1])
        flow_path.append(flow_rate)
        # print flow_path,flow_path[0],len(flow_path)
        file.write(str(flow_path) + '\n')

        for i in range(1, sfc_len + 1):
            #print flow_path[len(flow_path)-1]
            NF_load[flow_path[i]] = int(NF_load[flow_path[i]]) + int(
                flow_path[len(flow_path) - 1])

    file.closed

    flow_vnf = file_path + '/alg1_NF_load.txt'
    file = open(flow_vnf, 'w')
    file.write(json.dumps(NF_load, indent=1))
    file.closed

    alg1_max_NF = 0
    for i in NF_load:
        if alg1_max_NF < NF_load[i]:
            alg1_max_NF = NF_load[i]

    fd = open(file_path + '/alg1_max_NF.txt', 'w')
    fd.write(json.dumps(alg1_max_NF))
    fd.closed
    file = open(file_path + '/flow_feasible_vnf.txt', 'w')
    for t in flowDic:
        for n in range(0, 3):
            for i in range(4, len(flowDic[t])):
                flowDic[t][i] = random.randint(0, each_NF_num - 1)
            line = str(flowDic[t])
            newsDate = txt_wrap_by("'", "'", line, 0)
            flow_rate = txt_wrap_by2(",", ",", line)[1]
            #print "flow-rate",flow_rate
            nf_number = []  #Save the serial number of each passed NF
            h = txt_wrap_by2(",", ",", line)
            for i in range(3, len(h)):
                nf_number.append(h[i])
            ff = find_n_sub_str(line, ",", 3, 0)

            sfc_len = (len(newsDate[2]) + 1) / 2
            k = find_n_sub_str(line, ",", 2 + sfc_len, 0)
            nf_number.append(txt_wrap_by(",", "]", line, k)[0])

            flow_path = []
            flow_path.append(newsDate[0])
            for i in range(0, sfc_len):
                flow_path.append(
                    str(newsDate[2][2 * i]) + str(int(nf_number[i]) + 1))
            flow_path.append(newsDate[1])
            flow_path.append(flow_rate)
            # print flow_path,flow_path[0],len(flow_path)
            file.write(str(flow_path) + '\n')
    file.closed

    print "NFV Distribution Finished"
Пример #2
0
#coding=utf-8
from algorithms import dijkstra
from algorithms import dijkstra2
from algorithms import dijkstra3
from graph_for_l2 import DiGraph
from collections import defaultdict
import json
import os
CODEC = 'utf-8'
mynet = "rocketfuel_87s174h50nf.json"
g = DiGraph(mynet) 

def txt_wrap_by(start_str, end_str, html,start):
    
    keyvaule=[]
    while start <=len(html):
        start = html.find(start_str,start)
        if start >= 0:
            start += len(start_str)
            end = html.find(end_str, start)
            if end >= 0:
                keyvaule.append(html[start:end].strip())                
                start = end + len(end_str)
        else:
            return keyvaule
def get_route_compare_algs(file_path):             
    all_node = []
    all_node_alone = []    
    all_edge = []    
    all_edge_alone = []
    all_edge_alone_order = []
def get_nfv_distribution(ratio, host_num, file_path):

    CODEC = 'utf-8'
    mynet = "rocketfuel_87s174h50nf.json"
    g = DiGraph(mynet)

    #Custom VNF processing power (1-10)
    capacity = {
        'F1': 10,
        'F2': 10,
        'F3': 10,
        'F4': 10,
        'F5': 10,
        'F6': 10,
        'F7': 10,
        'F8': 10,
        'F9': 10,
        'F10': 10,
        'I1': 10,
        'I2': 10,
        'I3': 10,
        'I4': 10,
        'I5': 10,
        'I6': 10,
        'I7': 10,
        'I8': 10,
        'I9': 10,
        'I10': 10,
        'P1': 10,
        'P2': 10,
        'P3': 10,
        'P4': 10,
        'P5': 10,
        'P6': 10,
        'P7': 10,
        'P8': 10,
        'P9': 10,
        'P10': 10,
        'D1': 10,
        'D2': 10,
        'D3': 10,
        'D4': 10,
        'D5': 10,
        'D6': 10,
        'D7': 10,
        'D8': 10,
        'D9': 10,
        'D10': 10,
        'W1': 10,
        'W2': 10,
        'W3': 10,
        'W4': 10,
        'W5': 10,
        'W6': 10,
        'W7': 10,
        'W8': 10,
        'W9': 10,
        'W10': 10
    }
    each_NF_num = 10
    #Enter two functional chains
    #Number of streams between 80 hosts
    flowDic = get_flows(host_num, ratio)
    flow_number = len(flowDic)
    print "flow_number", flow_number
    #print flowDic
    #Find out which streams of each type of NF have passed
    flow = {}
    flow['F'] = []
    flow['I'] = []
    flow['P'] = []
    flow['D'] = []
    flow['W'] = []
    for key in flowDic:
        if 'F' in str(flowDic[key][3]):
            flow['F'].append(key)
        if 'I' in str(flowDic[key][3]):
            flow['I'].append(key)
        if 'P' in str(flowDic[key][3]):
            flow['P'].append(key)
        if 'D' in str(flowDic[key][3]):
            flow['D'].append(key)
        if 'W' in str(flowDic[key][3]):
            flow['W'].append(key)
    #j stands for 9 processors, i stands for task (flow)
    p = [([0] * len(flow) * 10) for i in range(len(flowDic))]
    #print len(p),len(p[0])

    for j in capacity.keys():
        print j
        #Calculate the processing power of Pij = stream bandwidth * distance to the NF (S-VNF-D) / NF
        if 'F' in j:
            #print "F",j
            if '1' in j and '10' not in j:
                row = 0
            elif '2' in j:
                row = 1
            elif '3' in j:
                row = 2
            elif '4' in j:
                row = 3
            elif '5' in j:
                row = 4
            elif '6' in j:
                row = 5
            elif '7' in j:
                row = 6
            elif '8' in j:
                row = 7
            elif '9' in j:
                row = 8
            elif '10' in j:
                #print "F10",j
                row = 9
            for i in flow['F']:

                # print flowDic[i][0],j,flowDic[i][1]
                path1 = dijkstra(g, flowDic[i][0], j)
                path2 = dijkstra(g, j, flowDic[i][1])
                distance = path1.get('cost') + path2.get('cost')
                bandwidth = flowDic[int(i)][2]
                power = capacity[j]
                #print "power",power
                #p[i-1][row] = bandwidth * distance / power
                distance = math.sqrt(math.sqrt(distance))
                p[i - 1][row] = bandwidth * distance / power
                #p[i-1][row] = bandwidth
                #print i
                #print p[i-1][row]
        elif 'I' in j:
            if '1' in j and '10' not in j:
                row = 10
            elif '2' in j:
                row = 11
            elif '3' in j:
                row = 12
            elif '4' in j:
                row = 13
            elif '5' in j:
                row = 14
            elif '6' in j:
                row = 15
            elif '7' in j:
                row = 16
            elif '8' in j:
                row = 17
            elif '9' in j:
                row = 18
            elif '10' in j:
                row = 19
            for i in flow['I']:
                path1 = dijkstra(g, flowDic[i][0], j)
                path2 = dijkstra(g, j, flowDic[i][1])
                distance = path1.get('cost') + path2.get('cost')
                bandwidth = flowDic[int(i)][2]
                power = capacity[j]
                distance = math.sqrt(math.sqrt(distance))
                p[i - 1][row] = bandwidth * distance / power
        elif 'P' in j:
            if '1' in j and '10' not in j:
                row = 20
            elif '2' in j:
                row = 21
            elif '3' in j:
                row = 22
            elif '4' in j:
                row = 23
            elif '5' in j:
                row = 24
            elif '6' in j:
                row = 25
            elif '7' in j:
                row = 26
            elif '8' in j:
                row = 27
            elif '9' in j:
                row = 28
            elif '10' in j:
                row = 29
            for i in flow['P']:
                path1 = dijkstra(g, flowDic[i][0], j)
                path2 = dijkstra(g, j, flowDic[i][1])
                distance = path1.get('cost') + path2.get('cost')
                bandwidth = flowDic[int(i)][2]
                power = capacity[j]
                distance = math.sqrt(math.sqrt(distance))
                p[i - 1][row] = bandwidth * distance / power

        elif 'D' in j:
            if '1' in j and '10' not in j:
                row = 30
            elif '2' in j:
                row = 31
            elif '3' in j:
                row = 32
            elif '4' in j:
                row = 33
            elif '5' in j:
                row = 34
            elif '6' in j:
                row = 35
            elif '7' in j:
                row = 36
            elif '8' in j:
                row = 37
            elif '9' in j:
                row = 38
            elif '10' in j:
                row = 39
            for i in flow['D']:
                path1 = dijkstra(g, flowDic[i][0], j)

                path2 = dijkstra(g, j, flowDic[i][1])
                distance = path1.get('cost') + path2.get('cost')
                bandwidth = flowDic[int(i)][2]
                power = capacity[j]
                distance = math.sqrt(math.sqrt(distance))
                p[i - 1][row] = bandwidth * distance / power
        elif 'W' in j:
            if '1' in j and '10' not in j:
                row = 40
            elif '2' in j:
                row = 41
            elif '3' in j:
                row = 42
            elif '4' in j:
                row = 43
            elif '5' in j:
                row = 44
            elif '6' in j:
                row = 45
            elif '7' in j:
                row = 46
            elif '8' in j:
                row = 47
            elif '9' in j:
                row = 48
            elif '10' in j:
                row = 49
            for i in flow['W']:
                path1 = dijkstra(g, flowDic[i][0], j)
                path2 = dijkstra(g, j, flowDic[i][1])
                distance = path1.get('cost') + path2.get('cost')
                bandwidth = flowDic[int(i)][2]
                power = capacity[j]
                distance = math.sqrt(math.sqrt(distance))
                p[i - 1][row] = bandwidth * distance / power
    '''
    Solving linear equation
    '''
    #x = [[0 for col in range(len(flowDic))] for row in range(3)]
    #x[i][j] :Indicates that the ith stream passes through the jth vnf, and j(0-8) represents [F1, F2, F3, I1, I2, I3, P1, P2, P3]
    '''Which F is passed through?'''
    x = [[0 for col in range(10)] for row in range(len(flowDic))]
    #print x
    for i in range(0, len(flowDic)):
        for j in range(0, 10):
            x[i][j] = "x"
            if len(flowDic) < 100000:
                if i < 10:
                    x[i][j] = x[i][j] + "0000"
                elif i < 100:
                    x[i][j] = x[i][j] + "000"
                elif i < 1000:
                    x[i][j] = x[i][j] + "00"
                elif i < 10000:
                    x[i][j] = x[i][j] + "0"
            x[i][j] = x[i][j] + str(i) + str(j)

    z = []
    for i in range(0, len(flowDic)):
        z.append("z" + str(i))

    temp = []
    for i in range(0, len(flowDic)):
        for j in range(
                0, 10):  # 3 si the number of path that each flow can choose
            temp.append(x[i][j])
    for i in range(0, len(flowDic)):
        temp.append(z[i])

    prob = LpProblem('lptest', LpMinimize)
    r = LpVariable('r', lowBound=0)
    xx = LpVariable.dicts("", temp, lowBound=0,
                          upBound=1)  #,cat = pulp.LpInteger
    #print temp
    print "-------2222222-----"
    #print x[0]
    #Add the target equation
    #0-28 flows
    prob += r
    #0->F(0,1,2);1->I(3,4,5);2->P(6,7,8)
    x_e = defaultdict(lambda: (defaultdict(lambda:
                                           (defaultdict(lambda: None)))))
    for i in range(10):
        for j in range(len(flowDic)):
            x_e[i][j][0] = x[j][i]
            x_e[i][j][1] = p[j][i]
    for i in range(0, 10):
        prob += lpSum(xx[x_e[i][j][0]] * x_e[i][j][1] for j in x_e[i]) <= r
    #Add constraints
    for i in range(0, len(flowDic)):
        prob += lpSum([xx[j] for j in x[i]]) == 1
    GLPK().solve(prob)
    print 'F_objective_sr =', value(prob.objective)

    i = 0
    j = 0
    l = 0
    for v in prob.variables():
        #print v, v.varValue
        l = l + 1
        if l < flow_number * 10 + 1:  #(the number of flows /cdot 3) +1
            x[i][j] = v.varValue
            if j < 9:
                j = j + 1
            else:
                i = i + 1
                j = 0
    for i in range(0, flow_number):
        k = 0
        choose = 0
        for j in range(0, 10):
            if x[i][j] > k:
                choose = j
                k = x[i][j]
        for j in range(0, 10):
            if j == choose:
                x[i][j] = 1
            else:
                x[i][j] = 0

    for i in range(0, flow_number):
        if ('F' in str(flowDic[i + 1][3])):
            for j in range(0, 10):
                if x[i][j] == 1:
                    flowDic[i + 1].append(j)
            #print flowDic[i+1]

    #sleep(600)
    '''Which I passed through'''
    #P_1 refers to the cost of I function
    p_1 = [([0] * 10) for i in range(len(flowDic))]
    #print "hh",len(p_1),len(p_1[0])
    for i in range(len(flowDic)):
        for j in range(10):
            #print i,j,
            p_1[i][j] = p[i][j + 10]
    x1 = [[0 for col in range(10)] for row in range(len(flowDic))]
    for i in range(0, len(flowDic)):
        for j in range(0, 10):
            x1[i][j] = "x"
            if len(flowDic) < 100000:
                if i < 10:
                    x1[i][j] = x1[i][j] + "0000"
                elif i < 100:
                    x1[i][j] = x1[i][j] + "000"
                elif i < 1000:
                    x1[i][j] = x1[i][j] + "00"
                elif i < 10000:
                    x1[i][j] = x1[i][j] + "0"
            x1[i][j] = x1[i][j] + str(i) + str(j)

    z1 = []
    for i in range(0, len(flowDic)):
        z1.append("z" + str(i))

    temp1 = []
    for i in range(0, len(flowDic)):
        for j in range(
                0, 10):  # 3 si the number of path that each flow can choose
            temp1.append(x1[i][j])
    for i in range(0, len(flowDic)):
        temp1.append(z1[i])

    prob1 = LpProblem('lptest1', LpMinimize)
    r1 = LpVariable('r1', lowBound=0)
    xx1 = LpVariable.dicts("", temp1, lowBound=0,
                           upBound=1)  #, cat = pulp.LpInteger
    #print xx1

    prob1 += r1
    #0->F(0,1,2);1->I(3,4,5);2->P(6,7,8)
    x_e1 = defaultdict(lambda: (defaultdict(lambda:
                                            (defaultdict(lambda: None)))))
    for i in range(10):
        for j in range(len(flowDic)):
            x_e1[i][j][0] = x1[j][i]
            x_e1[i][j][1] = p_1[j][i]
    for i in range(0, 10):
        prob1 += lpSum(xx1[x_e1[i][j][0]] * x_e1[i][j][1]
                       for j in x_e1[i]) <= r1
    for i in range(0, len(flowDic)):
        prob1 += lpSum([xx1[j] for j in x1[i]]) == 1
    GLPK().solve(prob1)
    print 'I_objective_sr =', value(prob1.objective)

    i = 0
    j = 0
    l = 0
    for v in prob1.variables():
        l = l + 1
        if l < flow_number * 10 + 1:  #(the number of flows /cdot 3) +1
            x[i][j] = v.varValue
            if j < 9:
                j = j + 1
            else:
                i = i + 1
                j = 0
    for i in range(0, flow_number):
        k = 0
        choose = 0
        for j in range(0, 10):
            if x[i][j] > k:
                choose = j
                k = x[i][j]
        for j in range(0, 10):
            if j == choose:
                x[i][j] = 1
            else:
                x[i][j] = 0

    for i in range(0, flow_number):
        if ('I' in str(flowDic[i + 1][3])):
            for j in range(0, 10):
                if x[i][j] == 1:
                    flowDic[i + 1].append(j)
            #print flowDic[i+1]
    '''Which P passed?'''
    p_3 = [([0] * 10) for i in range(len(flowDic))]
    for i in range(len(flowDic)):
        for j in range(10):
            p_3[i][j] = p[i][j + 20]
    x3 = [[0 for col in range(10)] for row in range(len(flowDic))]
    for i in range(0, len(flowDic)):
        for j in range(0, 10):
            x3[i][j] = "x"
            if len(flowDic) < 100000:
                if i < 10:
                    x3[i][j] = x3[i][j] + "0000"
                elif i < 100:
                    x3[i][j] = x3[i][j] + "000"
                elif i < 1000:
                    x3[i][j] = x3[i][j] + "00"
                elif i < 10000:
                    x3[i][j] = x3[i][j] + "0"
            x3[i][j] = x3[i][j] + str(i) + str(j)
    z3 = []
    for i in range(0, len(flowDic)):
        z3.append("z3" + str(i))

    temp3 = []
    for i in range(0, len(flowDic)):
        for j in range(
                0, 10):  # 3 si the number of path that each flow can choose
            temp3.append(x3[i][j])
    for i in range(0, len(flowDic)):
        temp3.append(z3[i])

    prob3 = LpProblem('lptest3', LpMinimize)
    r3 = LpVariable('r3', lowBound=0)
    xx3 = LpVariable.dicts("", temp3, lowBound=0,
                           upBound=1)  #, cat = pulp.LpInteger
    x_e3 = defaultdict(lambda: (defaultdict(lambda:
                                            (defaultdict(lambda: None)))))
    for i in range(10):
        for j in range(len(flowDic)):
            x_e3[i][j][0] = x3[j][i]
            x_e3[i][j][1] = p_3[j][i]
    for i in range(0, 10):
        prob3 += lpSum(xx3[x_e3[i][j][0]] * x_e3[i][j][1]
                       for j in x_e3[i]) <= r3
    for i in range(0, len(flowDic)):
        prob3 += lpSum([xx3[j] for j in x3[i]]) == 1
    GLPK().solve(prob3)
    print 'P_objective_sr =', value(prob3.objective)
    i = 0
    j = 0
    l = 0
    for v in prob3.variables():
        l = l + 1
        if l < flow_number * 10 + 1:  #(the number of flows /cdot 3) +1
            x[i][j] = v.varValue
            if j < 9:
                j = j + 1
            else:
                i = i + 1
                j = 0
    for i in range(0, flow_number):
        k = 0
        choose = 0
        for j in range(0, 10):
            if x[i][j] > k:
                choose = j
                k = x[i][j]
        for j in range(0, 10):
            if j == choose:
                x[i][j] = 1
            else:
                x[i][j] = 0

    for i in range(0, flow_number):
        if ('P' in str(flowDic[i + 1][3])):
            for j in range(0, 10):
                if x[i][j] == 1:
                    flowDic[i + 1].append(j)
            #print flowDic[i+1]
    '''Which D is passed through?'''
    p_4 = [([0] * 10) for i in range(len(flowDic))]
    for i in range(len(flowDic)):
        for j in range(10):
            p_4[i][j] = p[i][j + 30]
    x4 = [[0 for col in range(10)] for row in range(len(flowDic))]
    for i in range(0, len(flowDic)):
        for j in range(0, 10):
            x4[i][j] = "x"
            if len(flowDic) < 100000:
                if i < 10:
                    x4[i][j] = x4[i][j] + "0000"
                elif i < 100:
                    x4[i][j] = x4[i][j] + "000"
                elif i < 1000:
                    x4[i][j] = x4[i][j] + "00"
                elif i < 10000:
                    x4[i][j] = x4[i][j] + "0"
            x4[i][j] = x4[i][j] + str(i) + str(j)
    z4 = []
    for i in range(0, len(flowDic)):
        z4.append("z4" + str(i))

    temp4 = []
    for i in range(0, len(flowDic)):
        for j in range(
                0, 10):  # 3 si the number of path that each flow can choose
            temp4.append(x4[i][j])
    for i in range(0, len(flowDic)):
        temp4.append(z4[i])

    prob4 = LpProblem('lptest4', LpMinimize)
    r4 = LpVariable('r4', lowBound=0)
    xx4 = LpVariable.dicts("", temp4, lowBound=0,
                           upBound=1)  #, cat = pulp.LpInteger
    prob4 += r4
    x_e4 = defaultdict(lambda: (defaultdict(lambda:
                                            (defaultdict(lambda: None)))))
    for i in range(10):
        for j in range(len(flowDic)):
            x_e4[i][j][0] = x4[j][i]
            x_e4[i][j][1] = p_4[j][i]
    for i in range(0, 10):
        prob4 += lpSum(xx4[x_e4[i][j][0]] * x_e4[i][j][1]
                       for j in x_e4[i]) <= r4
    for i in range(0, len(flowDic)):
        prob4 += lpSum([xx4[j] for j in x4[i]]) == 1
    GLPK().solve(prob4)
    print 'D_objective_sr =', value(prob4.objective)
    i = 0
    j = 0
    l = 0
    for v in prob4.variables():
        l = l + 1
        if l < flow_number * 10 + 1:  #(the number of flows /cdot 3) +1
            x[i][j] = v.varValue
            if j < 9:
                j = j + 1
            else:
                i = i + 1
                j = 0
    for i in range(0, flow_number):
        k = 0
        choose = 0
        for j in range(0, 10):
            if x[i][j] > k:
                choose = j
                k = x[i][j]
        for j in range(0, 10):
            if j == choose:
                x[i][j] = 1
            else:
                x[i][j] = 0

    for i in range(0, flow_number):
        if ('D' in str(flowDic[i + 1][3])):
            for j in range(0, 10):
                if x[i][j] == 1:
                    flowDic[i + 1].append(j)
            #print flowDic[i+1]
    '''Which W to solve'''
    p_5 = [([0] * 10) for i in range(len(flowDic))]
    for i in range(len(flowDic)):
        for j in range(10):
            p_5[i][j] = p[i][j + 40]
    x5 = [[0 for col in range(10)] for row in range(len(flowDic))]
    for i in range(0, len(flowDic)):
        for j in range(0, 10):
            x5[i][j] = "x"
            if len(flowDic) < 100000:
                if i < 10:
                    x5[i][j] = x5[i][j] + "0000"
                elif i < 100:
                    x5[i][j] = x5[i][j] + "000"
                elif i < 1000:
                    x5[i][j] = x5[i][j] + "00"
                elif i < 10000:
                    x5[i][j] = x5[i][j] + "0"
            x5[i][j] = x5[i][j] + str(i) + str(j)
    z5 = []
    for i in range(0, len(flowDic)):
        z5.append("z5" + str(i))

    temp5 = []
    for i in range(0, len(flowDic)):
        for j in range(
                0, 10):  # 3 si the number of path that each flow can choose
            temp5.append(x5[i][j])
    for i in range(0, len(flowDic)):
        temp5.append(z5[i])

    prob5 = LpProblem('lptest5', LpMinimize)
    r5 = LpVariable('r5', lowBound=0)
    xx5 = LpVariable.dicts("", temp5, lowBound=0,
                           upBound=1)  #, cat = pulp.LpInteger
    #print xx3

    prob5 += r5
    x_e5 = defaultdict(lambda: (defaultdict(lambda:
                                            (defaultdict(lambda: None)))))
    for i in range(10):
        for j in range(len(flowDic)):
            x_e5[i][j][0] = x5[j][i]
            x_e5[i][j][1] = p_5[j][i]
    for i in range(0, 10):
        prob5 += lpSum(xx5[x_e5[i][j][0]] * x_e5[i][j][1]
                       for j in x_e5[i]) <= r5
    for i in range(0, len(flowDic)):
        prob5 += lpSum([xx5[j] for j in x5[i]]) == 1
    GLPK().solve(prob5)
    print 'W_objective_sr =', value(prob5.objective)
    i = 0
    j = 0
    l = 0
    for v in prob5.variables():
        l = l + 1
        if l < flow_number * 10 + 1:  #(the number of flows /cdot 3) +1
            x[i][j] = v.varValue
            if j < 9:
                j = j + 1
            else:
                i = i + 1
                j = 0
    for i in range(0, flow_number):
        k = 0
        choose = 0
        for j in range(0, 10):
            if x[i][j] > k:
                choose = j
                k = x[i][j]
        for j in range(0, 10):
            if j == choose:
                x[i][j] = 1
            else:
                x[i][j] = 0

    for i in range(0, flow_number):
        if ('W' in str(flowDic[i + 1][3])):
            for j in range(0, 10):
                if x[i][j] == 1:
                    flowDic[i + 1].append(j)
            #print flowDic[i+1]

    flow_vnf = file_path + '/flow_vnf.txt'
    file = open(flow_vnf, 'w')

    NF_load = (defaultdict(lambda: None))
    for i in capacity:
        NF_load[i] = 0

    for t in flowDic:
        line = str(flowDic[t])
        newsDate = txt_wrap_by("'", "'", line, 0)
        flow_rate = txt_wrap_by2(",", ",", line)[1]
        #print "flow-rate",flow_rate
        nf_number = []  #Save the serial number of each passed NF
        h = txt_wrap_by2(",", ",", line)
        for i in range(3, len(h)):
            nf_number.append(h[i])
        ff = find_n_sub_str(line, ",", 3, 0)

        sfc_len = (len(newsDate[2]) + 1) / 2
        k = find_n_sub_str(line, ",", 2 + sfc_len, 0)
        #print "2222222222",line,k, txt_wrap_by(",","]",line,k)

        nf_number.append(txt_wrap_by(",", "]", line, k)[0])

        flow_path = []
        flow_path.append(newsDate[0])
        for i in range(0, sfc_len):
            flow_path.append(
                str(newsDate[2][2 * i]) + str(int(nf_number[i]) + 1))
        flow_path.append(newsDate[1])
        flow_path.append(flow_rate)
        # print flow_path,flow_path[0],len(flow_path)
        file.write(str(flow_path) + '\n')

        for i in range(1, sfc_len + 1):
            #print flow_path[len(flow_path)-1]
            NF_load[flow_path[i]] = int(NF_load[flow_path[i]]) + int(
                flow_path[len(flow_path) - 1])

    file.closed

    flow_vnf = file_path + '/alg1_NF_load.txt'
    file = open(flow_vnf, 'w')
    file.write(json.dumps(NF_load, indent=1))
    file.closed

    alg1_max_NF = 0
    for i in NF_load:
        if alg1_max_NF < NF_load[i]:
            alg1_max_NF = NF_load[i]

    fd = open(file_path + '/alg1_max_NF.txt', 'w')
    fd.write(json.dumps(alg1_max_NF))
    fd.closed

    file = open(file_path + '/flow_feasible_vnf.txt', 'w')

    for t in flowDic:
        for n in range(0, 3):
            for i in range(4, len(flowDic[t])):
                flowDic[t][i] = random.randint(0, each_NF_num - 1)

            line = str(flowDic[t])
            newsDate = txt_wrap_by("'", "'", line, 0)
            flow_rate = txt_wrap_by2(",", ",", line)[1]
            #print "flow-rate",flow_rate
            nf_number = []  #Save the serial number of each passed NF
            h = txt_wrap_by2(",", ",", line)
            for i in range(3, len(h)):
                nf_number.append(h[i])
            ff = find_n_sub_str(line, ",", 3, 0)

            sfc_len = (len(newsDate[2]) + 1) / 2
            k = find_n_sub_str(line, ",", 2 + sfc_len, 0)
            nf_number.append(txt_wrap_by(",", "]", line, k)[0])

            flow_path = []
            flow_path.append(newsDate[0])
            for i in range(0, sfc_len):
                flow_path.append(
                    str(newsDate[2][2 * i]) + str(int(nf_number[i]) + 1))
            flow_path.append(newsDate[1])
            flow_path.append(flow_rate)
            # print flow_path,flow_path[0],len(flow_path)
            file.write(str(flow_path) + '\n')
    file.closed

    print "NFV Distribution Finished"