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Optimal Control of the Vacation Scheme in an M/G/1 Queue

Author

Listed:
  • Offer Kella

    (Yale University, New Haven, Connecticut)

Abstract

In this article the M/G/1 queue with server vacations is considered with the assumption that the decision whether or not to take a new vacation, when the system is empty, depends on the number of vacations already taken through a random outcome. Both descriptive and optimization issues are considered, where the latter is done under the expected long-run average cost criterion with linear holding costs, fixed setup costs and a concave piecewise linear reward function for being on vacation. The optimization problem results in an infinite dimensional fractional program of which the solution yields a (deterministic) policy of the control limit type.

Suggested Citation

  • Offer Kella, 1990. "Optimal Control of the Vacation Scheme in an M/G/1 Queue," Operations Research, INFORMS, vol. 38(4), pages 724-728, August.
    • Handle: RePEc:inm:oropre:v:38:y:1990:i:4:p:724-728
    DOI: 10.1287/opre.38.4.724
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