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Throughput Lower Bounds for Markovian Petri Nets: Transformation Techniques.

Campos, Javier; Sánchez, Beatriz; Silva, Manuel

In: Proc. 4th Int. Workshop on Petri Nets and Performance Models (PNPM'91), Melbourne, Australia, pages 322-331. IEEE Comp. Soc. Press, December 1991.

Abstract: This paper addresses the computation of lower bounds for the steady-state throughput of stochastic Petri nets with immediate and exponentially distributed service times of transitions. We try to deeply bridge stochastic Petri net theory to untimed Petri net and queueing networks theories. Previous results for general service time distributions are improved for the case of Markovian nets by considering some pessimistic transformation rules operating locally on the net structure, its initial marking, and stochastic interpretation. Special interest have the obtained results for the case of live and bounded free choice nets and live marked graphs systems.

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