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Technical Note—Turning Off a Server with Customers Present: Is This Any Way to Run an M / M / c Queue with Removable Servers?

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  • Colin E. Bell

    (University of California, Irvine, California)

Abstract

The form of optimal policy is investigated in an average cost, infinite horizon M / M / c problem where the number of servers working can be adjusted at arrival or service completion epochs. The costs considered are linear holding costs, linear servers' wages and set-up (shut-down) charges per server turned on (off). We show that an optimal policy may call for turning one or more servers off even when there are customers for him to serve.

Suggested Citation

  • Colin E. Bell, 1975. "Technical Note—Turning Off a Server with Customers Present: Is This Any Way to Run an M / M / c Queue with Removable Servers?," Operations Research, INFORMS, vol. 23(3), pages 571-574, June.
    • Handle: RePEc:inm:oropre:v:23:y:1975:i:3:p:571-574
    DOI: 10.1287/opre.23.3.571
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    Cited by:

    1. R. E. Lillo, 2000. "Optimal Operating Policy for an M/G/1 Exhaustive Server-Vacation Model," Methodology and Computing in Applied Probability, Springer, vol. 2(2), pages 153-167, August.
    2. Zhang, Zhe G. & Tian, Naishuo, 2004. "An analysis of queueing systems with multi-task servers," European Journal of Operational Research, Elsevier, vol. 156(2), pages 375-389, July.
    3. Li Xiao & Susan H. Xu & David D. Yao & Hanqin Zhang, 2022. "Optimal staffing for ticket queues," Queueing Systems: Theory and Applications, Springer, vol. 102(1), pages 309-351, October.
    4. Zhe George Zhang, 2009. "Performance Analysis of a Queue with Congestion-Based Staffing Policy," Management Science, INFORMS, vol. 55(2), pages 240-251, February.

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