ACM Transactions on Computer Systems (TOCS)
A compositional approach to performance modelling
A compositional approach to performance modelling
Discrete-Event Simulation of Fluid Stochastic Petri Nets
IEEE Transactions on Software Engineering
PEPA nets: a structured performance modelling formalism
Performance Evaluation - Modelling techniques and tools for computer performance evaluation
Theory, Volume 1, Queueing Systems
Theory, Volume 1, Queueing Systems
Fluid Flow Approximation of PEPA models
QEST '05 Proceedings of the Second International Conference on the Quantitative Evaluation of Systems
An approximate compositional approach to the analysis of fluid queue networks
Performance Evaluation
Petri nets and integrality relaxations: A view of continuous Petri net models
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
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The PEPA Queues formalism augments queueing networks with customers that have behavioural characteristics defined in the popular stochastic process algebra, PEPA. Networks of PEPA Queues suffer from the traditional state space explosion that affects both closed queueing networks and PEPA models. We present a technique that converts a discrete extension of PEPA Queues into a continuous state space approximation. We show how Continuous PEPA Queues can be analysed using ordinary differential equations, the solution of which provides a time-series plot of the number of components in a particular state in a particular buffer.