Bi-Level Control Policy for Redundant Repairable Multicomponent System with Reneging, Set Up and Vacation

Abstract

This paper deals with bi-level control policy and queuing analysis of a machine repair problem. The model is developed by incorporating mixed standbys (cold and warm), reneging, set up and vacation time. The repair facility consists of two heterogeneous repairmen in the system. The life and repair time of the failed units and also their set up times are assumed to be exponentially distributed. The steady state queue size distribution is obtained by using recursive method. Expressions are derived for the number of failed units in the queue and the average waiting time for repair, throughput, etc. By setting appropriate parameters, we deduce some special models.