Add queueing example model

This commit is contained in:
Yentl Van Tendeloo 2017-04-06 12:02:58 +02:00
parent 2ca0c68e31
commit d4aa028d4f
9 changed files with 825 additions and 0 deletions

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from pypdevs.DEVS import AtomicDEVS
# Define the state of the collector as a structured object
class CollectorState(object):
def __init__(self):
# Contains received events and simulation time
self.events = []
self.current_time = 0.0
class Collector(AtomicDEVS):
def __init__(self):
AtomicDEVS.__init__(self, "Collector")
self.state = CollectorState()
# Has only one input port
self.in_event = self.addInPort("in_event")
def extTransition(self, inputs):
# Update simulation time
self.state.current_time += self.elapsed
# Calculate time in queue
evt = inputs[self.in_event]
time = self.state.current_time - evt.creation_time - evt.processing_time
inputs[self.in_event].queueing_time = max(0.0, time)
# Add incoming event to received events
self.state.events.append(inputs[self.in_event])
return self.state
# Don't define anything else, as we only store events.
# Collector has no behaviour of its own.

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from pypdevs.simulator import Simulator
import random
# Import the model we experiment with
from system import QueueSystem
# Configuration:
# 1) number of customers to simulate
num = 500
# 2) average time between two customers
time = 30.0
# 3) average size of customer
size = 20.0
# 4) efficiency of processors (products/second)
speed = 0.5
# 5) maximum number of processors used
max_processors = 10
# End of configuration
# Store all results for output to file
values = []
# Loop over different configurations
for i in range(1, max_processors):
# Make sure each of them simulates exactly the same workload
random.seed(1)
# Set up the system
procs = [speed] * i
m = QueueSystem(mu=1.0/time, size=size, num=num, procs=procs)
# PythonPDEVS specific setup and configuration
sim = Simulator(m)
sim.setClassicDEVS()
sim.simulate()
# Gather information for output
evt_list = m.collector.state.events
values.append([e.queueing_time for e in evt_list])
# Write data to file
with open('output.csv', 'w') as f:
for i in range(num):
f.write("%s" % i)
for j in range(len(values)):
f.write(", %5f" % (values[j][i]))
f.write("\n")

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from pypdevs.DEVS import AtomicDEVS
from job import Job
import random
# Define the state of the generator as a structured object
class GeneratorState:
def __init__(self, gen_num):
# Current simulation time (statistics)
self.current_time = 0.0
# Remaining time until generation of new event
self.remaining = 0.0
# Counter on how many events to generate still
self.to_generate = gen_num
class Generator(AtomicDEVS):
def __init__(self, gen_param, size_param, gen_num):
AtomicDEVS.__init__(self, "Generator")
# Output port for the event
self.out_event = self.addOutPort("out_event")
# Define the state
self.state = GeneratorState(gen_num)
# Parameters defining the generator's behaviour
self.gen_param = gen_param
self.size_param = size_param
def intTransition(self):
# Update simulation time
self.state.current_time += self.timeAdvance()
# Update number of generated events
self.state.to_generate -= 1
if self.state.to_generate == 0:
# Already generated enough events, so stop
self.state.remaining = float('inf')
else:
# Still have to generate events, so sample for new duration
self.state.remaining = random.expovariate(self.gen_param)
return self.state
def timeAdvance(self):
# Return remaining time; infinity when generated enough
return self.state.remaining
def outputFnc(self):
# Determine size of the event to generate
size = max(1, int(random.gauss(self.size_param, 5)))
# Calculate current time (note the addition!)
creation = self.state.current_time + self.state.remaining
# Output the new event on the output port
return {self.out_event: Job(size, creation)}

5
examples/queueing/job.py Normal file
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class Job:
def __init__(self, size, creation_time):
# Jobs have a size and creation_time parameter
self.size = size
self.creation_time = creation_time

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42
examples/queueing/plot Normal file
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@ -0,0 +1,42 @@
set terminal svg
set out 'queueing_evolution.svg'
set title "Queueing times"
set xlabel "Customer #"
set ylabel "Seconds"
unset xlabel
unset xtics
set key title "Processors"
set key bottom center out
set key horizontal
set style line 1 lw 4
set style line 2 lw 4
set style line 3 lw 4
set style line 4 lw 4
set yrange [0:450]
set xrange [0:500]
set style fill solid
plot 'output.csv' using 1:3 title "2" w boxes ls 1, \
'' using 1:4 title "3" w boxes ls 2, \
'' using 1:5 title "4" w boxes ls 3, \
'' using 1:6 title "5" w boxes ls 4
set out 'queueing_boxplot.svg'
set style fill solid 0.25 border -1
set style boxplot outliers pointtype 7
set style data boxplot
set key off
set xlabel "Processors"
unset xrange
unset yrange
set xtics ('2' 1, '3' 2, '4' 3, '5' 4)
plot 'output.csv' using (1):3 title "2", \
'' using (2):4 title "3", \
'' using (3):5 title "4", \
'' using (4):6 title "5"

View file

@ -0,0 +1,46 @@
from pypdevs.DEVS import AtomicDEVS
# Define the state of the processor as a structured object
class ProcessorState(object):
def __init__(self):
# State only contains the current event
self.evt = None
class Processor(AtomicDEVS):
def __init__(self, nr, proc_param):
AtomicDEVS.__init__(self, "Processor_%i" % nr)
self.state = ProcessorState()
self.in_proc = self.addInPort("in_proc")
self.out_proc = self.addOutPort("out_proc")
self.out_finished = self.addOutPort("out_finished")
# Define the parameters of the model
self.speed = proc_param
self.nr = nr
def intTransition(self):
# Just clear processing event
self.state.evt = None
return self.state
def extTransition(self, inputs):
# Received a new event, so start processing it
self.state.evt = inputs[self.in_proc]
# Calculate how long it will be processed
time = 20.0 + max(1.0, self.state.evt.size / self.speed)
self.state.evt.processing_time = time
return self.state
def timeAdvance(self):
if self.state.evt:
# Currently processing, so wait for that
return self.state.evt.processing_time
else:
# Idle, so don't do anything
return float('inf')
def outputFnc(self):
# Output the processed event and signal as finished
return {self.out_proc: self.state.evt,
self.out_finished: self.nr}

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@ -0,0 +1,75 @@
from pypdevs.DEVS import AtomicDEVS
# Define the state of the queue as a structured object
class QueueState:
def __init__(self, outputs):
# Keep a list of all idle processors
self.idle_procs = range(outputs)
# Keep a list that is the actual queue data structure
self.queue = []
# Keep the process that is currently being processed
self.processing = None
# Time remaining for this event
self.remaining_time = float("inf")
class Queue(AtomicDEVS):
def __init__(self, outputs):
AtomicDEVS.__init__(self, "Queue")
# Fix the time needed to process a single event
self.processing_time = 1.0
self.state = QueueState(outputs)
# Create 'outputs' output ports
# 'outputs' is a structural parameter!
self.out_proc = []
for i in range(outputs):
self.out_proc.append(self.addOutPort("proc_%i" % i))
# Add the other ports: incoming events and finished event
self.in_event = self.addInPort("in_event")
self.in_finish = self.addInPort("in_finish")
def intTransition(self):
# Is only called when we are outputting an event
# Pop the first idle processor and clear processing event
self.state.idle_procs.pop(0)
if self.state.queue and self.state.idle_procs:
# There are still queued elements, so continue
self.state.processing = self.state.queue.pop(0)
self.state.remaining_time = self.processing_time
else:
# No events left to process, so become idle
self.state.processing = None
self.state.remaining_time = float("inf")
return self.state
def extTransition(self, inputs):
# Update the remaining time of this job
self.state.remaining_time -= self.elapsed
# Several possibilities
if self.in_finish in inputs:
# Processing a "finished" event, so mark proc as idle
self.state.idle_procs.append(inputs[self.in_finish])
if not self.state.processing and self.state.queue:
# Process first task in queue
self.state.processing = self.state.queue.pop(0)
self.state.remaining_time = self.processing_time
elif self.in_event in inputs:
# Processing an incoming event
if self.state.idle_procs and not self.state.processing:
# Process when idle processors
self.state.processing = inputs[self.in_event]
self.state.remaining_time = self.processing_time
else:
# No idle processors, so queue it
self.state.queue.append(inputs[self.in_event])
return self.state
def timeAdvance(self):
# Just return the remaining time for this event (or infinity else)
return self.state.remaining_time
def outputFnc(self):
# Output the event to the processor
port = self.out_proc[self.state.idle_procs[0]]
return {port: self.state.processing}

View file

@ -0,0 +1,33 @@
from pypdevs.DEVS import CoupledDEVS
# Import all models to couple
from generator import Generator
from queue import Queue
from processor import Processor
from collector import Collector
class QueueSystem(CoupledDEVS):
def __init__(self, mu, size, num, procs):
CoupledDEVS.__init__(self, "QueueSystem")
# Define all atomic submodels of which there are only one
generator = self.addSubModel(Generator(mu, size, num))
queue = self.addSubModel(Queue(len(procs)))
collector = self.addSubModel(Collector())
self.connectPorts(generator.out_event, queue.in_event)
# Instantiate desired number of processors and connect
processors = []
for i, param in enumerate(procs):
processors.append(self.addSubModel(
Processor(i, param)))
self.connectPorts(queue.out_proc[i],
processors[i].in_proc)
self.connectPorts(processors[i].out_finished,
queue.in_finish)
self.connectPorts(processors[i].out_proc,
collector.in_event)
# Make it accessible outside of our own scope
self.collector = collector