A natural and compact way to incorporate non-exponential distributions into stochastic Petri nets is described. It allows users to directly specify the nonexponential transitions at the next level without providing the detailed construction; for example, to specify an Erlang distribution, the user only needs to provide the number of stages and the mean of the distribution. The refinement of the transition with a general distribution is performed automatically with a net-independent mechanism. The resulting net is a GSPN that can be solved with standard techniques. The authors also show how to expand conflicting transitions under the race-enabling policy (without the interconnection of places and transitions internal to the expansion of the different transitions), and have identified the different semantics introduced by nonexponential distributions, when a model does or does not use a control place

Alternative Methods for Incorporating Non-exponential Distributions into Stochastic Petri Nets

BALBO, Gianfranco
1989-01-01

Abstract

A natural and compact way to incorporate non-exponential distributions into stochastic Petri nets is described. It allows users to directly specify the nonexponential transitions at the next level without providing the detailed construction; for example, to specify an Erlang distribution, the user only needs to provide the number of stages and the mean of the distribution. The refinement of the transition with a general distribution is performed automatically with a net-independent mechanism. The resulting net is a GSPN that can be solved with standard techniques. The authors also show how to expand conflicting transitions under the race-enabling policy (without the interconnection of places and transitions internal to the expansion of the different transitions), and have identified the different semantics introduced by nonexponential distributions, when a model does or does not use a control place
1989
3-rd International Workshop on Petri Nets and Performance Models,
Kyoto, Japan
December 1989
PNPM '89
IEEE Computer Society Press
187
197
9780818620010
Stochastic Petri Nets; Generalized Stochastic Petri Nets; General Distributions; Phase type distributions; Markov chains; Stochastic processes
P. Chen; S.C. Bruell; G. Balbo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/26289
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