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PEPA Queues: Capturing Customer Behaviour in Queueing Networks
Author(s) -
Ashok Argent-Katwala,
Jeremy T. Bradley
Publication year - 2007
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.2007.07.002
Subject(s) - computer science , queueing theory , formalism (music) , rotation formalisms in three dimensions , process calculus , queue , server , theoretical computer science , layered queueing network , distributed computing , computer network , mathematics , art , musical , geometry , visual arts
Queueing network formalisms are very good at describing the spatial movement of customers, but typically poor at describing how customers change as they move through the network. We present the PEPA Queues formalism, which uses the popular stochastic process algebra PEPA to represent the individual state and behaviour of customers and servers. We offer a formal semantics for PEPA Queues, plus a direct translation to PEPA, allowing access to the existing tools for analysing PEPA models. Finally, we use the ipc/DNAmaca tool-chain to provide passage-time analysis of a dual Web server example

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