Performance modelling of the M/G/1 machine repairman problem with cold-, warm- and hot-standbys

This paper presents the modelling and analysis of the M/G/1 machine repairm an problem consisting of K working machines, Y spare machines and single re pairman. Spare machines are considered to be either cold-standby, warm-stan dby or hot-standby. Using supplementary variable technique, an efficient re cursive algorithm has been developed to obtain the distributions of the num ber of down machines at arbitrary, departure and pre-arrival epochs. The re lations among the distributions at various epochs and some performance meas ures are also discussed. In addition, the waiting time analysis has been ca rried out. Finally, some numerical results have been presented. (C) 2000 El sevier Science Ltd. All rights reserved.