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Note--A Single Server Queue with Constant Service Time and Restricted Accessibility

Author

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  • Per Hokstad

    (University of Trondheim, Norway)

Abstract

A queuing system has restricted accessibility if not every customer is admitted to the system. In this paper a single server queuing system is studied, where the arriving customers are rejected if their waiting plus service times would exceed a fixed amount K. The arrivals follow a Poisson process. In this case an equation for the stationary waiting time distribution is given. The explicit solution of this equation is obtained, when the service time is assumed to be constant. For this model the queue length distribution is also easily derived. It is observed that the queue with finite waiting room is a special case of this model.

Suggested Citation

  • Per Hokstad, 1979. "Note--A Single Server Queue with Constant Service Time and Restricted Accessibility," Management Science, INFORMS, vol. 25(2), pages 205-208, February.
    • Handle: RePEc:inm:ormnsc:v:25:y:1979:i:2:p:205-208
    DOI: 10.1287/mnsc.25.2.205
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    Cited by:

    1. 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.
    2. Recker, Will & Zhenhg, Xing & Chu, Lianyu, 2010. "Development of an Adaptive Corridor Traffic Control Model," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt3tx5b17h, Institute of Transportation Studies, UC Berkeley.
    3. Susan H. Xu & Long Gao & Jihong Ou, 2007. "Service Performance Analysis and Improvement for a Ticket Queue with Balking Customers," Management Science, INFORMS, vol. 53(6), pages 971-990, June.

    More about this item

    Keywords

    queues: balking and reneging;

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