Markov regenerative SPN with non-overlapping activity cycles

Andrea Bobbio; Miklos Telek

Markov regenerative SPN with non-overlapping activity cycles

Andrea Bobbio
, Miklos Telek

Research output: Contribution to conference › Paper › peer-review

Abstract

The paper discusses a class of Markov Regenerative Stochastic Petri Nets (MRSPN) characterized by the fact that the stochastic process subordinated to two consecutive regeneration time points is a semi-Markov reward process. This class of SPN's can accommodate transitions with generally distributed firing time and associated memory policy of both enabling and age type, thus generalizing and encompassing all the previous definitions of MRSPN. An unified analytical procedure is developed for the derivation of closed form expressions for the transient and steady state probabilities.

Original language	English
Pages	124-133
Number of pages	10
Publication status	Published - 1995
Externally published	Yes
Event	Proceedings of the IEEE International Computer Performance and Dependability Symposium - Erlangen, Ger Duration: 24 Apr 1995 → 26 Apr 1995

Conference

Conference	Proceedings of the IEEE International Computer Performance and Dependability Symposium
City	Erlangen, Ger
Period	24/04/95 → 26/04/95

Cite this

@conference{1be4bb987f4e459ba861919511731490,

title = "Markov regenerative SPN with non-overlapping activity cycles",

abstract = "The paper discusses a class of Markov Regenerative Stochastic Petri Nets (MRSPN) characterized by the fact that the stochastic process subordinated to two consecutive regeneration time points is a semi-Markov reward process. This class of SPN's can accommodate transitions with generally distributed firing time and associated memory policy of both enabling and age type, thus generalizing and encompassing all the previous definitions of MRSPN. An unified analytical procedure is developed for the derivation of closed form expressions for the transient and steady state probabilities.",

author = "Andrea Bobbio and Miklos Telek",

year = "1995",

language = "English",

pages = "124--133",

note = "Proceedings of the IEEE International Computer Performance and Dependability Symposium ; Conference date: 24-04-1995 Through 26-04-1995",

}

TY - CONF

T1 - Markov regenerative SPN with non-overlapping activity cycles

AU - Bobbio, Andrea

AU - Telek, Miklos

PY - 1995

Y1 - 1995

N2 - The paper discusses a class of Markov Regenerative Stochastic Petri Nets (MRSPN) characterized by the fact that the stochastic process subordinated to two consecutive regeneration time points is a semi-Markov reward process. This class of SPN's can accommodate transitions with generally distributed firing time and associated memory policy of both enabling and age type, thus generalizing and encompassing all the previous definitions of MRSPN. An unified analytical procedure is developed for the derivation of closed form expressions for the transient and steady state probabilities.

AB - The paper discusses a class of Markov Regenerative Stochastic Petri Nets (MRSPN) characterized by the fact that the stochastic process subordinated to two consecutive regeneration time points is a semi-Markov reward process. This class of SPN's can accommodate transitions with generally distributed firing time and associated memory policy of both enabling and age type, thus generalizing and encompassing all the previous definitions of MRSPN. An unified analytical procedure is developed for the derivation of closed form expressions for the transient and steady state probabilities.

UR - https://www.scopus.com/pages/publications/0029212720

M3 - Paper

SP - 124

EP - 133

T2 - Proceedings of the IEEE International Computer Performance and Dependability Symposium

Y2 - 24 April 1995 through 26 April 1995

ER -

Markov regenerative SPN with non-overlapping activity cycles

Abstract

Conference

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