Tsss. Rao et Uc. Gupta, Performance modelling of the M/G/1 machine repairman problem with cold-, warm- and hot-standbys, COM IND ENG, 38(2), 2000, pp. 251-267
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.