Service stage petri net protocols with product form solution

Irving Y. Wang; Thomas G. Robertazzi

Service stage petri net protocols with product form solution

Irving Y. Wang
, Thomas G. Robertazzi

Electrical Engineering

Stony Brook University

New Jersey Institute of Technology

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

A class of stochastic Petri nets with product form solution for the equilibrium state probabilities was described by A.A. Lazar and T.G. Robertazzi. For this class the Petri network consists of a number of linear sequences of places or subtasks with a vector of coordinates indicating which places are active. This work extends this class to the case where service times consist of a series of distinct exponential stages. Illustrative examples are given.

Original language	English
Pages (from-to)	233
Number of pages	1
Journal	Performance Evaluation Review
Volume	17
Issue number	1
State	Published - May 1989
Event	ACM Sigmetrics and Performance '89 International Conference on Measurement and Modeling of Computer Systems - Proceedings - Berkeley, CA, USA Duration: May 23 1989 → May 26 1989

Cite this

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title = "Service stage petri net protocols with product form solution",

abstract = "A class of stochastic Petri nets with product form solution for the equilibrium state probabilities was described by A.A. Lazar and T.G. Robertazzi. For this class the Petri network consists of a number of linear sequences of places or subtasks with a vector of coordinates indicating which places are active. This work extends this class to the case where service times consist of a series of distinct exponential stages. Illustrative examples are given.",

author = "Wang, \{Irving Y.\} and Robertazzi, \{Thomas G.\}",

year = "1989",

month = may,

language = "English",

volume = "17",

pages = "233",

journal = "Performance Evaluation Review",

issn = "0163-5999",

publisher = "Association for Computing Machinery",

number = "1",

note = "ACM Sigmetrics and Performance '89 International Conference on Measurement and Modeling of Computer Systems - Proceedings ; Conference date: 23-05-1989 Through 26-05-1989",

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TY - JOUR

T1 - Service stage petri net protocols with product form solution

AU - Wang, Irving Y.

AU - Robertazzi, Thomas G.

PY - 1989/5

Y1 - 1989/5

N2 - A class of stochastic Petri nets with product form solution for the equilibrium state probabilities was described by A.A. Lazar and T.G. Robertazzi. For this class the Petri network consists of a number of linear sequences of places or subtasks with a vector of coordinates indicating which places are active. This work extends this class to the case where service times consist of a series of distinct exponential stages. Illustrative examples are given.

AB - A class of stochastic Petri nets with product form solution for the equilibrium state probabilities was described by A.A. Lazar and T.G. Robertazzi. For this class the Petri network consists of a number of linear sequences of places or subtasks with a vector of coordinates indicating which places are active. This work extends this class to the case where service times consist of a series of distinct exponential stages. Illustrative examples are given.

UR - https://www.scopus.com/pages/publications/0024665505

M3 - Conference article

SN - 0163-5999

VL - 17

SP - 233

JO - Performance Evaluation Review

JF - Performance Evaluation Review

IS - 1

T2 - ACM Sigmetrics and Performance '89 International Conference on Measurement and Modeling of Computer Systems - Proceedings

Y2 - 23 May 1989 through 26 May 1989

ER -

Service stage petri net protocols with product form solution

Abstract

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