Module: bcc

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Module: bcc | simpy1_4_2\SimPyModels\bcc.py
--- | ---
Jobs (e.g messages) arrive randomly at rate $1.0$ per minute at a 2-server system. Mean service time is $0.75$ minutes and the service-time distribution is (1) exponential, (2) Erlang-5, or (3) hyperexponential with $p=1/8$,$m1=2.0$, and $m2=4/7$. However no queue is allowed; a job arriving when all the servers are busy is rejected. Develop and run a simulation program to estimate the probability of rejection (which, in steady-state, is the same as $p(c)$) Measure and compare the probability for each service time distribution. Though you should test the program with a trace, running just a few jobs, the final runs should be of 10000 jobs without a trace. Stop the simulation when 10000 jobs have been generated. Use the random number stream 1 for all runs.
Imported modules |
--- | ---
from SimPy.Simulation import * from __future__ import generators from random import Random, expovariate, uniform
Functions |
ErlangVariate HyperVariate bcc erlangB main testHyperVariate
| ErlangVariate
    ErlangVariate (
            mean,
            K,
            g,
            )
### Erlang random variate mean = mean K = shape parameter g = rv to be used
| HyperVariate
    HyperVariate (
            p,
            m1,
            m2,
            g,
            )
### Hyperexponential random variate p = prob of branch 1 m1 = mean of exponential, branch 1 m2 = mean of exponential, branch 2 g = rv to be used
| bcc
    bcc (
            lam,
            mu,
            s,
            )
### bcc - blocked customers cleared model returns p[i], i = 0,1,..s. - ps = p[s] = prob of blocking - lameff = effective arrival rate = lam*(1-ps) See Winston 22.11 for Blocked Customers Cleared Model (Erlang B formula)
| erlangB
    erlangB ( rho,  c )
### Erlang's B formula for probabilities in no-queue Returns p[n] list see also SPlus and R version in que.q mmcK que.py has bcc. use bcc instead!!
| main
    main ()
| testHyperVariate
    testHyperVariate ()
tests the HyerVariate rv generator
Classes |
Job | Jobs that are either accepted or rejected
JobGen | generates a sequence of Jobs

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