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A Continuous State Space Approximation for PEPA Queues

Ashok Argent-Katwala, Jeremy T. Bradley

National Workshop Paper
Process Algebra and Stochastically Timed Activities 2006
May, 2006

PEPA Queues is a formalism that augments queueing networks with customers that have behavioural characteristics, as defined by PEPA components. PEPA Queues suffer from the traditional state-space explosion that affects both closed queueing networks and PEPA models. We discuss a possible solution to this with a continuous state-space approximation that allows us to derive an underlying mathematical model based on ordinary differential equations from a PEPA Queues model.

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