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The T-Policy for the M/G/1 Queue

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  • Daniel P. Heyman

    (Bell Laboratories, Holmdel, New Jersey)

Abstract

We consider situations where the server cannot continuously monitor its queue to sense customer arrivals. For this situation we introduce the T-policy which activates the server T time units after the end of the last busy period. We consider in detail an M/G/1 queue with linear customer holding costs and a fixed charge for activating the server. For the minimum cost-rate criterion we obtain the optimal value of T and the optimal cost rate. We show that the optimal cost rate is larger than the one achieved by the comparable optimal N-policy which activates the server when N customers are in the queue. We also show that under the optimal T-policy, the expected number of customers present when the server is activated is the optimal value of N.

Suggested Citation

  • Daniel P. Heyman, 1977. "The T-Policy for the M/G/1 Queue," Management Science, INFORMS, vol. 23(7), pages 775-778, March.
  • Handle: RePEc:inm:ormnsc:v:23:y:1977:i:7:p:775-778
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    File URL: http://dx.doi.org/10.1287/mnsc.23.7.775
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    Cited by:

    1. repec:eee:apmaco:v:261:y:2015:i:c:p:284-301 is not listed on IDEAS
    2. Zhang, Zhe George & Tadj, Lotfi & Bounkhel, Messaoud, 2011. "Cost evaluation in M/G/1 queue with T-policy revisited, technical note," European Journal of Operational Research, Elsevier, vol. 214(3), pages 814-817, November.

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