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A Service System with Unfilled Requests Repeated

Author

Listed:
  • J. Keilson

    (University of Rochester)

  • J. Cozzolino

    (University of Pennsylvania)

  • H. Young

    (University of Rochester)

Abstract

The object of this paper is to analyze a model of a queuing system in which customers cannot be in continuous contact with the server, but must call in to request service: If the server is free, then the next request to arrive is served immediately; if the server is occupied, however, the unsatisfied customer must break contact and later re-initiate his request. Thus, repeat requests for service from the pool of unsatisfied customers are superimposed on the normal stream of arrivals of first attempts. This system is characteristic of situations in which there is a single operator or source of information that must be called and busy signals are not held. This paper calculates several characteristic quantities of such systems, assuming a general service-time distribution and different exponential distributions for the times between arrivals of first requests and repeat requests.

Suggested Citation

  • J. Keilson & J. Cozzolino & H. Young, 1968. "A Service System with Unfilled Requests Repeated," Operations Research, INFORMS, vol. 16(6), pages 1126-1137, December.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:6:p:1126-1137
    DOI: 10.1287/opre.16.6.1126
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    Cited by:

    1. Tuan Phung-Duc & Kohei Akutsu & Ken’ichi Kawanishi & Osama Salameh & Sabine Wittevrongel, 2022. "Queueing models for cognitive wireless networks with sensing time of secondary users," Annals of Operations Research, Springer, vol. 310(2), pages 641-660, March.
    2. Jeongsim Kim & Bara Kim, 2016. "A survey of retrial queueing systems," Annals of Operations Research, Springer, vol. 247(1), pages 3-36, December.
    3. Li, Hui & Yang, Tao, 1995. "A single-server retrial queue with server vacations and a finite number of input sources," European Journal of Operational Research, Elsevier, vol. 85(1), pages 149-160, August.
    4. Farahmand, K. & Livingstone, N., 2001. "Recurrent retrial queues with service option on arrival," European Journal of Operational Research, Elsevier, vol. 131(3), pages 530-535, June.
    5. Florin Avram & Donatien Fotso Chedom, 2011. "On symbolic RG factorization of quasi-birth-and-death processes," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 19(2), pages 317-335, December.

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