Optimal Control of an M / M / S Queueing System

Donald S. Szarkowicz and Thomas W. Knowles
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Donald S. Szarkowicz: University of New Hampshire, Durham, New Hampshire
Thomas W. Knowles: Illinois Institute of Technology, Chicago, Illinois

Operations Research, 1985, vol. 33, issue 3, 644-660

Abstract: We consider the problem of determining optimal operating policies for an M / M / S queueing system. The system state ( x 1 , x 2 ) is defined by x 1 the number of customers in the system, and x 2 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.

Keywords: 693 optimal control; 702 M/M/S queueing system (search for similar items in EconPapers)
Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:33:y:1985:i:3:p:644-660

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