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Queuing Models with Balking, Reneging, and Interruptions

Author

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  • S. Subba Rao

    (Scientific Evaluation Group, Defence Research & Development Organisation, New Delhi, India)

Abstract

A queuing process of the type M / G /1 is considered where units balk (refuse to join) as well as renege (depart without being serviced). The servicing of the units is subject to breakdowns caused by the arrival of “interruptions” that have to be cleared on a priority basis. Four models, models I, II, III, and IV, have been postulated and the detailed formulation and solution of one of the models is given while the results for the remaining models are quoted. The supplementary variable technique and discrete transforms have been employed in the formulation and the solution of the problem.

Suggested Citation

  • S. Subba Rao, 1965. "Queuing Models with Balking, Reneging, and Interruptions," Operations Research, INFORMS, vol. 13(4), pages 596-608, August.
    • Handle: RePEc:inm:oropre:v:13:y:1965:i:4:p:596-608
    DOI: 10.1287/opre.13.4.596
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    Cited by:

    1. Rakesh Kumar & Sapana Sharma, 2021. "Transient analysis of a Markovian queuing model with multiple-heterogeneous servers, and customers’ impatience," OPSEARCH, Springer;Operational Research Society of India, vol. 58(3), pages 540-556, September.
    2. Madhu Jain & Sandeep Kaur & Parminder Singh, 2021. "Supplementary variable technique (SVT) for non-Markovian single server queue with service interruption (QSI)," Operational Research, Springer, vol. 21(4), pages 2203-2246, December.
    3. Mohammad Firouz & Linda Li & Burcu B. Keskin, 2022. "Managing equipment rentals: Unreliable fleet, impatient customers, and finite commitment capacity," Production and Operations Management, Production and Operations Management Society, vol. 31(11), pages 3963-3981, November.
    4. S. Subba Rao, 1967. "Queuing with balking and reneging in M|G|1 systems," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 12(1), pages 173-188, December.

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