Open AccessA Langevin Interpretation of PEPA Models
Author(s) -
Joris Slegers
Publication year - 2010
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2010.01.006
Subject(s) - interpretation (philosophy) , stochastic differential equation , computer science , stochastic interpretation , markov process , domain (mathematical analysis) , stochastic process , mathematics , process calculus , algebra over a field , statistical physics , theoretical computer science , pure mathematics , mathematical analysis , physics , programming language , statistics , quantum process , quantum mechanics , quantum dynamics , quantum
In this paper we examine a Langevin interpretation of the stochastic process algebra PEPA. We show how previous work on chemical systems yielding sets of stochastic differential equations (SDEs) can be adapted to the domain of computer systems. Two simple examples are then examined. Their experimental results show a good match between traditional Markovian interpretation of PEPA and the SDE interpretation introduced here. It also raises the problem of boundary conditions which is briefly discussed and for which we propose a solution
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom