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. In this article, we consider a discrete time servic e facility system under MDP structure. Decisions are taken at discrete time epo chs to control both admission and service processes in the service facility system. H ere the queue before the server is divided into eligible queue(with finite capacity N) and an unlimited potential queue . The number of arrivals and service completion with rate b follow general distributions with probability mass functions (p.m.f) ( ) p ⋅ and ( ) b q ⋅ respectively. Control systems are used to(i) transfer customers from potential queue to el igible queue and (ii) change the service rate depending on the number of customers in the sy stem. The system is formulated as a Markov Decision Process and an optimal control poli cy is obtained using Policy Iteration Method. Numerical example is provided to illustrate th problem with managerial insight.

Optimal Admission and Service Control in a Discrete time Service Facility Systems: MDP Approach