def lq (self, thresholds, logger, title):
stc, sco, stw, sws = self.sum()
if stc == 0:
return (float('NaN'), 0, 0, [])
# base rates
brc = float(stc)/sco
brw = float(stw)/sws
if thresholds is None:
thresholds = [brc] if brc == brw else [brc,brw]
# convert thresholds to whole numbers of bins
cumco = util.cumsum([co for _tc, co, _tw, _ws in self.bins])
top = len(self.bins) - 2 # max bin index for thresholds
thresholds = [min(top,bisect.bisect_left(cumco,th*sco)) for th in thresholds]
thresholds = util.dedup(thresholds)
# http://en.wikipedia.org/wiki/Trapezoidal_rule
cph = sum([(stw - tw/2)*ws for stw,(tw,ws) in
zip(util.cumsum([tw for _tc, _co, tw, _ws in self.bins]),
[(tw,ws) for _tc, _co, tw, ws in self.bins])])
cph = float(cph) / (sws*stw)
logger.info("%s: cph=%g targetLevel=%g totalWeight=%g",
title,cph,stw,sws)
lq = (2*cph - 1) / (1 - brw)
mxl = []
for threshold in thresholds:
mx = ConfusionMX("{h:s} at {d:.2%}".format(h=title,d=float(cumco[threshold])/sco))
mxl.append(mx)
for i in range(len(self.bins)):
_tc, _co, tw, ws = self.bins[i]
if tw > 0:
mx.add(True, i <= threshold, tw)
if ws > tw:
mx.add(False, i <= threshold, ws - tw)
return (lq, brc, brw, mxl)
def __init__(self, machines, processing_times):
"""
Initialize the needed representation data
structures for a job shop scheduling problem.
"""
self.machines = machines
self.processing_times = processing_times
# D: weight of operations
self._D = tuple(flatten(processing_times))
# N: amount of nodes
self.N = len(self._D) + 2
# V: nodes
self.V = (-1, ) + tuple(range(self.N - 2)) + (self.N - 2, )
# J: amount of operations in jobs
self.J = tuple(len(x) for x in machines)
# A: edges encoding the job precedence constraints
self.A = {
i: [i + 1]
for i in range(self.N - 2) if i + 1 not in cumsum(self.J)
}
self.A[-1] = [x for x in [0] + cumsum(self.J)[:-1]]
for i in cumsum(self.J):
self.A[i - 1] = [self.N - 2]
self.A[self.N - 2] = []
# E: edges encoding the machine constraints
self.E = dict()
for node in self.V:
self.E[node] = []
e = [None] * len(machines)
for i, j in enumerate(flatten(machines)):
if e[j]: e[j].append(i)
else: e[j] = [i]
self.e = [x for x in e if x]
for el in self.e:
for i in el:
self.E[i] = list(set(el) - set([i]))
# r: start time of node (also length from start node)
self._r = list(
flatten([[0] + cumsum(x)[:-1] for x in processing_times]))
# t: length to end node
self._t = list(
flatten([
list(reversed(cumsum(tuple(reversed(x)))))[1:] + [0]
for x in processing_times
]))
self.machines = tuple(flatten(self.machines))
self.optimize()
def optimize(self):
# hardcodes several parameters for performance
self._PMP = dict()
self._SMP = dict()
self._PM = deepcopy(self.E)
self._PJ = {-1: [], (self.N - 2): [x - 1 for x in cumsum(self.J)]}
for node in self.V:
self._PMP[node] = []
self._SMP[node] = []
if node in self._PJ.keys(): pass
elif node in [0] + cumsum(self.J)[:-1]: self._PJ[node] = [-1]
else: self._PJ[node] = [node - 1]
self._DD = dict()
for node in self.V:
if node < 0 or node >= self.N - 2:
self._DD[node] = 0
else:
self._DD[node] = self._D[node]
def lq(self, thresholds, logger, title):
stc, sco, stw, sws = self.sum()
if stc == 0:
return (float('NaN'), 0, 0, [])
# base rates
brc = float(stc) / sco
brw = float(stw) / sws
if thresholds is None:
thresholds = [brc] if brc == brw else [brc, brw]
# convert thresholds to whole numbers of bins
cumco = util.cumsum([co for _tc, co, _tw, _ws in self.bins])
top = len(self.bins) - 2 # max bin index for thresholds
thresholds = [
min(top, bisect.bisect_left(cumco, th * sco)) for th in thresholds
]
thresholds = util.dedup(thresholds)
# http://en.wikipedia.org/wiki/Trapezoidal_rule
cph = sum([(stw - tw / 2) * ws for stw, (
tw,
ws) in zip(util.cumsum([tw for _tc, _co, tw, _ws in self.bins]), [(
tw, ws) for _tc, _co, tw, ws in self.bins])])
cph = float(cph) / (sws * stw)
logger.info("%s: cph=%g targetLevel=%g totalWeight=%g", title, cph,
stw, sws)
lq = (2 * cph - 1) / (1 - brw)
mxl = []
for threshold in thresholds:
mx = ConfusionMX("{h:s} at {d:.2%}".format(
h=title, d=float(cumco[threshold]) / sco))
mxl.append(mx)
for i in range(len(self.bins)):
_tc, _co, tw, ws = self.bins[i]
if tw > 0:
mx.add(True, i <= threshold, tw)
if ws > tw:
mx.add(False, i <= threshold, ws - tw)
return (lq, brc, brw, mxl)
def plot_art(art, pattern, plotfolder):
xticks = ["" for _ in art.views]
i = 0
while i < len(art.views):
xticks[i] = str(i % 24) + "h"
i += 6
max_length = len(art.views)
log_estimate = zeros(max_length).tolist()
if art.pattern.has_gamma:
log_estimate[art.pattern.start : art.pattern.length * 24] = [
log(art.red_views[art.pattern.start]) + log(art.beta) * x for x in range(art.pattern.length * 24)
]
log_estimate[art.pattern.length * 24 : max_length] = [
log(art.red_views[art.pattern.start]) + log(art.gamma) + log(art.beta) * (x - 1)
for x in range(art.pattern.length * 24, max_length)
]
else:
log_estimate[art.pattern.start : art.pattern.start + art.pattern.length * 24] = [
log(art.red_views[art.pattern.start]) + log(art.beta) * x for x in range(art.pattern.length * 24)
]
estimate = [exp(log_estimate[x]) for x in range(max_length)]
plotinfo = {"normal": {}, "estimate": {}, "model": {}}
plotinfo["normal"]["x"] = xrange(len(art.views))
plotinfo["normal"]["y"] = art.views
plotinfo["normal"]["line_style"] = "-"
plotinfo["normal"]["line_color"] = "blue"
plotinfo["normal"]["label"] = "Page-views"
plotinfo["model"]["x"] = xrange(len(art.views))
plotinfo["model"]["y"] = estimate
plotinfo["model"]["line_style"] = "--"
plotinfo["model"]["line_color"] = "green"
plotinfo["model"]["label"] = "Model"
plotinfo["estimate"]["x"] = xrange(len(art.views))
plotinfo["estimate"]["y"] = art.est_params
plotinfo["estimate"]["line_style"] = "--"
plotinfo["estimate"]["line_color"] = "red"
if pattern.has_gamma:
plotinfo["estimate"]["label"] = r"Estimated views ($\beta,\gamma$)"
plotinfo["gamma"] = {}
plotinfo["gamma"]["x"] = xrange(len(art.views))
plotinfo["gamma"]["y"] = art.est_gamma_func
plotinfo["gamma"]["line_style"] = "--"
plotinfo["gamma"]["line_color"] = "black"
plotinfo["gamma"]["label"] = r"Estimated views ($\beta,\gamma(v_1)$)"
else:
plotinfo["estimate"]["label"] = r"Estimated views ($\beta$)"
axisinfo = {
"filename": plotfolder + art.link_title,
"ylabel": r"Number of page-views",
"xticks": xticks,
"title": "Hourly progression of " + art.title,
"xlim": {"start": 0, "end": len(xticks)},
"ylim": get_ylims(plotinfo),
}
plot_pattern(plotinfo, axisinfo)
plotinfo = {"cumsum": {}}
plotinfo["cumsum"]
plotinfo["cumsum"]["x"] = xrange(len(art.views))
plotinfo["cumsum"]["y"] = cumsum(art.views)
plotinfo["cumsum"]["line_style"] = "-"
plotinfo["cumsum"]["line_color"] = "blue"
plotinfo["cumsum"]["label"] = "Cumulative views"
axisinfo = {
"filename": plotfolder + "cum_" + art.link_title,
"ylabel": r"Cumulative number of page-views",
"xticks": xticks,
"title": "Cumulative progression of " + art.title,
"xlim": {"start": 0, "end": len(xticks)},
"ylim": get_ylims(plotinfo),
}
plot_pattern(plotinfo, axisinfo)
plotinfo = {"normalized": {}}
plotinfo["normalized"]
plotinfo["normalized"]["x"] = xrange(len(art.views))
plotinfo["normalized"]["y"] = art.norm_views
plotinfo["normalized"]["line_style"] = "-"
plotinfo["normalized"]["line_color"] = "blue"
plotinfo["normalized"]["label"] = "Normalized views"
axisinfo = {
"filename": plotfolder + "norm_" + art.link_title,
"ylabel": r"Number of page-views",
"xticks": xticks,
"title": "Hourly progression of " + art.title,
"xlim": {"start": 0, "end": len(xticks)},
"ylim": {"start": 0, "end": ceil(max(plotinfo["normalized"]["y"]) * 100) / 100},
}
plot_pattern(plotinfo, axisinfo)