pypepa 0.4.11dev1

pypepa is a PEPA library and a toolset for PEPA.

pypepa

pypepa is a PEPA library and a toolset for Performance Evaluation Process Algebra (PEPA) by Jane Hillston. pyPEPA is not a fully PEPA compatible tool, it supports a limited (for now) PEPA syntax (we only allow <> operator in system equation), i.e. it does not suport hiding operator (e.g. P\{a,b,}), does not calculate utilization or passage time. pyPEPA also does not use Kronecker state space representation and Hillston’s aggregation algorithms, so it can have worse performance than the PEPA Eclipse Plugin. All these features, plus more, are planned to be added in next versions. Currently I am working on pyPEPA by myself only but if you are willing to help, just send an email to me or put a pull request.

Warning: pyPEPA is under development, this is a beta software

pyPEPA consist of three parts:

1. libpepa - a library written in Python,

2. pyPEPA - a command line tool for solving and graphing,

3. distr/ - map reduce tools for solving large PEPA experiments.

News

(07.06.2013) Added support for defining rates as mathematical expressions, e.g. r=2*3+7*n;

Installation

Package

Using pip:

$ pip install pypepa

Manually:

1. Clone the project

$ git clone [e-mail]:tdi/pyPEPA.git pypepa
$ cd pypepa

2. Run install

$ python setup.py install

From the source

For the current version I recommend installing in a virtualenv.

1. Clone the project

$ git clone [e-mail]:tdi/pyPEPA.git pypepa
$ cd pypepa

2. Make a virtualenv

$ mkvirtualenv -p /usr/bin/python3 pypepa
$ workon pypepa

3. Install all requirements

$ pip install pyparsing numpy scipy matplotlib

Using pypepa

Basic arguments

Show help command:

$ pypepa -h

Set logging level (the default is NONE):

$ pypepa --log {DEBUG, INFO, ERROR, NONE}

Calculations

Calculate steady state for bank scenario. The putput is by default directed to your terminal.

$ pypepa -st models/bankscenario.pepa

Statespace of models/bankscenario.pepa.1 has 7 states

Steady state vector
Using ; delimiter
1;Idle,WaitingForCustomer,WaitingForEmployee;0.08333333333333337
2;Informed,WaitingForCustomer,WaitingForEmployee;0.25
3;WaitingBankResponse,RequestReceived,WaitingForEmployee;0.16666666666666666
4;WaitingBankResponse,CustomerNotReliable,WaitingForEmployee;0.16666666666666666
5;WaitingBankResponse,CustomerReliable,WaitingForEmployee;0.16666666666666666
6;WaitingBankResponse,WaitingManagerResponse,EvaluatingOffer;0.08333333333333333
7;OfferReceived,WaitingForCustomer,WaitingForEmployee;0.08333333333333333

Calculate actions’ throughput:

$ pypepa -th models/bankscenario.pepa

Statespace of models/bankscenario.pepa.1 has 7 states

Throuhoutput (successful action completion in one time unit)

readInformation                          0.08333333333333337
createLoanRequest                              0.25
getNotReliableMessage                    0.16666666666666666
badOffer                                 0.08333333333333333
askManager                               0.16666666666666666
reset                                    0.08333333333333333
goodOffer                                0.08333333333333333
checkReliability                         0.3333333333333333

You can calculate transient time proability for some number of time steps:

$ pypepa --transient 5 models/bankscenario.pepa

Transient analysis from time 0 to 10

Using ; delimiter
1;Idle,WaitingForCustomer,WaitingForEmployee;0.08351202761947342
2;Informed,WaitingForCustomer,WaitingForEmployee;0.2500169897974121
3;WaitingBankResponse,RequestReceived,WaitingForEmployee;0.16662129023697114
4;WaitingBankResponse,CustomerNotReliable,WaitingForEmployee;0.16657721277634494
5;WaitingBankResponse,CustomerReliable,WaitingForEmployee;0.16657721277634485
6;WaitingBankResponse,WaitingManagerResponse,EvaluatingOffer;0.08328947039778702
7;OfferReceived,WaitingForCustomer,WaitingForEmployee;0.08340579639566591

You can choose a solver by specifying --solver|-s {direct, sparse}. By defalt we use sparse solver with LIL matrix becuase it is faster and in overall matrices generated from PEPA models are sparse. There is also an insignificant difference in results.

pypepa allows you to visualize all PEPA components and the whole state space of a model by specifying -gd switch. The generated graphiz dot files are by deault saved in dots folder in the current directory. You can browse dot files with xdot, which you need to install first.

$ pypepa -gd bankdots models/bankscenario.pepa

Finally pypepa can provide us with a tool for experimentation with rates and actions. Let’s check how throughtput of askManager action changes when rateReset changes from 1 to 50 with step 1. The default result of this command will be a matplotlib graph. The format of -var is “vartype:varname:value range specifier:value range value”. The one valid vartype for now is rate, for value range specifiers you can choose: range or list. For range you need to provide START, STOP, STEP, whereas for list a comma separated list of values. You can specify other output options with -f argument: graph, console, csv.

$ pypepa -var "rate:rateReset:range:1,50,1" -val askManager  models/bankscenario.pepa

Formatting

You can specify formats of -st, -th and --varrate with a --format option. Currently we support CSV (although ; not comma delimited), console (the default) and graph (only for varrate experiments). Additionally you can specify -o|--output option with a file argument to specify where to save the CSV.

$ pypepa -st models/bankscenario.pepa -f csv -o bank_steady.csv

TODO

Functional

1. Implement rate mathematical expressions with functional rates (DONE)

2. Implement passage time analysis

3. Implement hiding operator

4. Implement 3d graphs and experiments (DONE)

5. Implement Kronecker state space and aggregation

6. Implement generalised communication PEPA genPEPA by Mirco Tribastone

7. Add model manipulation language for reducers

8. Add stochastic probes

9. Add distributed version of BU algorithm

Non functional

1. Optimize optimize optimize

Licence and credits

Copyright (c) Dariusz Dwornikowski and Poznan University of Technology. Distributed under the Apache Commons 2.0.