An approach to cost analysis of the machine repair problem with two types of spares and service rates

doi:10.1016/0026-2714(94)00129-C

Microelectronics Reliability

Volume 35, Issue 11, November 1995, Pages 1433-1436

https://doi.org/10.1016/0026-2714(94)00129-C Get rights and content

Abstract

This paper deals with a modified M/M/R machine repair problem of M operating units with two types of spares, and R servers in the repair facility under steady-state conditions. Spares are considered to be either cold-standby, warm-standby or hot-standby. The servers have two service rates for repair—slow and fast. A direct search algorithm is used to simultaneously determine the optimal values of the number of two types of spares and the number of servers to maintain a specified level of system availability at minimum cost.

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In this investigation, the cost optimization of a non-Markovian queueing model with server vacation for the performance analysis in both crisp and fuzzy environment of a multi-component machining system having the standby support has been investigated. In recent past, some queue theorists working in the field of queueing and reliability modeling studied Markovian machine repair problems with standby support to failure prone multi-component machining system [4–7]. A few machine repair models developed by queue theorists also included the feature of server vacation to deal with more realistic scenarios [8,9].
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This paper surveys the research published on the machine interference problem, also called the machine repairman problem, in which machines interfere with each other’s service. Our emphasis is on work that has appeared since the 1985 review by Stecke and Aronson. After describing the basic model and the scope of our study, we discuss the literature along several dimensions. We describe some of the more interesting papers, and offer some suggestions for topics holding particular promise for future studies. We conclude with comments about how the research has evolved over the past two decades.
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An approach to cost analysis of the machine repair problem with two types of spares and service rates

Abstract

Microelectron. Reliab.

Microelectron. Reliab.

Microelectron. Reliab.