Abstract
In this paper we deal with the machine repair problem consisting of M operating machines with S spare machines, and R repairmen where machines have two failure modes under steady-state conditions. Spares are considered to be either cold-standby, warm-standby or hot-standby. The two failure modes have equal probability of repair. Failure time of the machines and repair time of the repairmen are assumed to follow a negative exponential distribution. A cost model is developed in order to determine the optimal values of the number of repairmen and the number of spares simultaneously, while maintaining a minimum specified level of system availability. Numerical results are presented in which several system characteristics are evaluated for three types of standby under optimal operating conditions.
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Wang, KH., Wu, JD. Cost Analysis of the M/M/R Machine Repair Problem with Spares and Two Modes of Failure. J Oper Res Soc 46, 783–790 (1995). https://doi.org/10.1057/jors.1995.108
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DOI: https://doi.org/10.1057/jors.1995.108