关键词: 补充变量方法, 迭代, (r,s)修理策略, 机器维修模型, 有限源排队系统

Abstract: Applying the supplementary variable technique, we study a machine repair model with bilevel (r, s) repair policy and two types repairman. Using recursive method of Laplace transform and recursive method for derivative at point zero of Laplace transform, we obtain the steadystate probability distribution of the number of down machines at an arbitrary time epoch. Furthermore, we investigate various system performance measures, such as average number of down machines in the system and waiting for repair, average number of operating machines, the number of the machine failures per unit time, the steadystate machine availability, average waiting time for repair of the down machine, and average shutdown time of the down machine. Finally, we present some numerical examples under some special cases and compare the difference between single threshold r repair policy and bilevel (r, s) repair policy from the performance characteristic.

Key words: machine repairable model, finite source queueing system, supplementary variable technique, recursive, (r, s) repair policy