Optimal Control of an M/M/S Queueing System

Abstract

We consider the problem of determining optimal operating policies for an M/M/S queueing system. The system state (x1, x2) is defined by x1 the number of customers in the system, and x2 the number of active service channels. The cost structure includes customer holding and service channel operating costs as well as a linear switching cost. We use a continuous-time Markov decision process formulation to obtain an optimal control policy of the control limit form, and present an algorithm for the finite state problem. Finite-transition and infinite-transition with discounting are considered.

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