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Optimal Control of an M / M / S Queueing System

Author

Listed:
  • Donald S. Szarkowicz

    (University of New Hampshire, Durham, New Hampshire)

  • Thomas W. Knowles

    (Illinois Institute of Technology, Chicago, Illinois)

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.

Suggested Citation

  • Donald S. Szarkowicz & Thomas W. Knowles, 1985. "Optimal Control of an M / M / S Queueing System," Operations Research, INFORMS, vol. 33(3), pages 644-660, June.
    • Handle: RePEc:inm:oropre:v:33:y:1985:i:3:p:644-660
    DOI: 10.1287/opre.33.3.644
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