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
Titolo: | Alternative Methods for Incorporating Non-exponential Distributions into Stochastic Petri Nets | |
Autori Riconosciuti: | ||
Autori: | P. Chen; S.C. Bruell; G. Balbo | |
Data di pubblicazione: | 1989 | |
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 | |
Editore: | IEEE Computer Society Press | |
Titolo del libro: | PNPM '89 | |
Pagina iniziale: | 187 | |
Pagina finale: | 197 | |
Nome del convegno: | 3-rd International Workshop on Petri Nets and Performance Models, | |
Luogo del convegno: | Kyoto, Japan | |
Anno del convegno: | December 1989 | |
Digital Object Identifier (DOI): | 10.1109/PNPM.1989.68552 | |
ISBN: | 9780818620010 | |
Parole Chiave: | Stochastic Petri Nets; Generalized Stochastic Petri Nets; General Distributions; Phase type distributions; Markov chains; Stochastic processes | |
Appare nelle tipologie: | 04A-Conference paper in volume |