Replacement policy in a system under shocks following a Markovian arrival process

Delia Montoro-Cazorla; Rafael Pérez-Ocón; Maria del Carmen Segovia

doi:10.1016/j.ress.2008.06.007

Replacement policy in a system under shocks following a Markovian arrival process

Delia Montoro-Cazorla
, Rafael Pérez-Ocón
, Maria del Carmen Segovia

Electronic And Electrical Engineering

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

Abstract

A system subject to shocks that arrive following a Markovian arrival process is presented. The system is minimally repaired. It is replaced when a certain number of shocks arrive. A general model where the replacements are governed by a discrete phase-type distribution is studied. For this system, the Markov process governing the system is constructed, and the interarrival times between replacements and the number of replacements are calculated. A special case of this system is when it can stand a prefixed number of shocks. For this new system, the same performance measures are calculated. The systems are considered in transient and stationary regime.

Original language	English
Pages (from-to)	497-502
Number of pages	6
Journal	Reliability Engineering and System Safety
Volume	94
Issue number	2
Early online date	19 Jun 2008
DOIs	https://doi.org/10.1016/j.ress.2008.06.007
Publication status	Published - 1 Feb 2009

Keywords

Markovian arrival process
minimal repair
replacement
phase-type distribution

Access to Document

10.1016/j.ress.2008.06.007

Cite this

@article{f5f799ce12d64eb3a0224746e837ef11,

title = "Replacement policy in a system under shocks following a Markovian arrival process",

abstract = "A system subject to shocks that arrive following a Markovian arrival process is presented. The system is minimally repaired. It is replaced when a certain number of shocks arrive. A general model where the replacements are governed by a discrete phase-type distribution is studied. For this system, the Markov process governing the system is constructed, and the interarrival times between replacements and the number of replacements are calculated. A special case of this system is when it can stand a prefixed number of shocks. For this new system, the same performance measures are calculated. The systems are considered in transient and stationary regime.",

keywords = "Markovian arrival process, minimal repair, replacement, phase-type distribution",

author = "Delia Montoro-Cazorla and Rafael P{\'e}rez-Oc{\'o}n and Segovia, \{Maria del Carmen\}",

year = "2009",

month = feb,

day = "1",

doi = "10.1016/j.ress.2008.06.007",

language = "English",

volume = "94",

pages = "497--502",

journal = "Reliability Engineering and System Safety",

issn = "0951-8320",

publisher = "Elsevier Limited",

number = "2",

}

TY - JOUR

T1 - Replacement policy in a system under shocks following a Markovian arrival process

AU - Montoro-Cazorla, Delia

AU - Pérez-Ocón, Rafael

AU - Segovia, Maria del Carmen

PY - 2009/2/1

Y1 - 2009/2/1

N2 - A system subject to shocks that arrive following a Markovian arrival process is presented. The system is minimally repaired. It is replaced when a certain number of shocks arrive. A general model where the replacements are governed by a discrete phase-type distribution is studied. For this system, the Markov process governing the system is constructed, and the interarrival times between replacements and the number of replacements are calculated. A special case of this system is when it can stand a prefixed number of shocks. For this new system, the same performance measures are calculated. The systems are considered in transient and stationary regime.

AB - A system subject to shocks that arrive following a Markovian arrival process is presented. The system is minimally repaired. It is replaced when a certain number of shocks arrive. A general model where the replacements are governed by a discrete phase-type distribution is studied. For this system, the Markov process governing the system is constructed, and the interarrival times between replacements and the number of replacements are calculated. A special case of this system is when it can stand a prefixed number of shocks. For this new system, the same performance measures are calculated. The systems are considered in transient and stationary regime.

KW - Markovian arrival process

KW - minimal repair

KW - replacement

KW - phase-type distribution

UR - http://www.sciencedirect.com/science/article/pii/S0951832008001725

U2 - 10.1016/j.ress.2008.06.007

DO - 10.1016/j.ress.2008.06.007

M3 - Article

SN - 0951-8320

VL - 94

SP - 497

EP - 502

JO - Reliability Engineering and System Safety

JF - Reliability Engineering and System Safety

IS - 2

ER -

Replacement policy in a system under shocks following a Markovian arrival process

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this