TY - JOUR

T1 - Group maintenance policies for an R-out-of-N system with phase-type distribution

AU - Barron, Yonit

N1 - Publisher Copyright:
© Springer Science+Business Media New York 2017.

PY - 2018/2

Y1 - 2018/2

N2 - This paper presents an extension of our earlier paper on the 1-out-of-N repairable cold standby system (i.e., Barron IIE Trans 47:1139–1151, 2015). Specifically, we consider an R-out-of-N repairable system where the lifetimes of the units follow phase-type distribution. The system is functioning if at least R out of its N components work. Each working component is subject to failure. There are fixed, unit repair, and replacement costs associated with the maintenance facility, which is carried out after a fixed lead time τ. A penalty cost is incurred when the number of good components decreases to R − 1. We assume that the repair takes no time and repaired units are as good as new. By applying renewal theory and matrix-geometric methods, we derive the expected discounted costs under three classes of group maintenance policies: m-failure, T -age, and (m, T,τ), which is a refinement of the classical (m, T) policy. Illustrative examples, a comparative study and insights are provided.

AB - This paper presents an extension of our earlier paper on the 1-out-of-N repairable cold standby system (i.e., Barron IIE Trans 47:1139–1151, 2015). Specifically, we consider an R-out-of-N repairable system where the lifetimes of the units follow phase-type distribution. The system is functioning if at least R out of its N components work. Each working component is subject to failure. There are fixed, unit repair, and replacement costs associated with the maintenance facility, which is carried out after a fixed lead time τ. A penalty cost is incurred when the number of good components decreases to R − 1. We assume that the repair takes no time and repaired units are as good as new. By applying renewal theory and matrix-geometric methods, we derive the expected discounted costs under three classes of group maintenance policies: m-failure, T -age, and (m, T,τ), which is a refinement of the classical (m, T) policy. Illustrative examples, a comparative study and insights are provided.

KW - Group maintenance

KW - Matrix-geometric

KW - PH renewal process

KW - R-out-of-N system

KW - Renewal theory

UR - http://www.scopus.com/inward/record.url?scp=85047533432&partnerID=8YFLogxK

U2 - 10.1007/s10479-017-2617-x

DO - 10.1007/s10479-017-2617-x

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AN - SCOPUS:85047533432

SN - 0254-5330

VL - 261

SP - 79

EP - 105

JO - Annals of Operations Research

JF - Annals of Operations Research

IS - 1-2

ER -