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The value of reneging for strategic customers in queueing systems with server vacations/failures

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  • Economou, Antonis
  • Logothetis, Dimitrios
  • Manou, Athanasia

Abstract

Customer strategic behavior regarding the join-or-balk dilemma in queueing systems with server vacations/failures has been studied intensively in the recent literature. The standard assumption in these studies is that joining customers are not allowed to renege later. In the present paper we relax this assumption and quantify the value of reneging for strategic customers who face a queueing system with server vacations/failures. To focus on the reneging feature, we study the customer strategic behavior in the simplest such system, that is in the M/M/1 queue with a server alternating between on and off periods. We show that the possibility of reneging has substantial effect on the equilibrium social welfare and throughput. In particular, as the reward from service varies in a given system, it becomes beneficial to activate or deactivate the option of reneging to ensure a higher welfare. Moreover, we show that the effect of the reneging option is particularly significant in the case where the original system with non-strategic customers is unstable.

Suggested Citation

  • Economou, Antonis & Logothetis, Dimitrios & Manou, Athanasia, 2022. "The value of reneging for strategic customers in queueing systems with server vacations/failures," European Journal of Operational Research, Elsevier, vol. 299(3), pages 960-976.
    • Handle: RePEc:eee:ejores:v:299:y:2022:i:3:p:960-976
    DOI: 10.1016/j.ejor.2022.01.010
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    References listed on IDEAS

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    1. Antonis Economou & Athanasia Manou, 2013. "Equilibrium balking strategies for a clearing queueing system in alternating environment," Annals of Operations Research, Springer, vol. 208(1), pages 489-514, September.
    2. Economou, Antonis & Manou, Athanasia, 2016. "Strategic behavior in an observable fluid queue with an alternating service process," European Journal of Operational Research, Elsevier, vol. 254(1), pages 148-160.
    3. Mendelson, Haim & Yechiali, Uri, 1981. "Controlling the GI/M/1 queue by conditional acceptance of customers," European Journal of Operational Research, Elsevier, vol. 7(1), pages 77-85, May.
    4. Frank Haight, 1959. "Queueing with reneging," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 2(1), pages 186-197, December.
    5. Dellaert, Nico P., 1991. "Due-date setting and production control," International Journal of Production Economics, Elsevier, vol. 23(1-3), pages 59-67, October.
    6. Wei Sun & Pengfei Guo & Naishuo Tian, 2010. "Equilibrium threshold strategies in observable queueing systems with setup/closedown times," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 18(3), pages 241-268, September.
    7. Edelson, Noel M & Hildebrand, David K, 1975. "Congestion Tolls for Poisson Queuing Processes," Econometrica, Econometric Society, vol. 43(1), pages 81-92, January.
    8. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    9. Guo, Pengfei & Hassin, Refael, 2012. "Strategic behavior and social optimization in Markovian vacation queues: The case of heterogeneous customers," European Journal of Operational Research, Elsevier, vol. 222(2), pages 278-286.
    10. Wei Sun & Shiyong Li, 2014. "Equilibrium and optimal behavior of customers in Markovian queues with multiple working vacations," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 694-715, July.
    11. Pengfei Guo & Zhe George Zhang, 2013. "Strategic Queueing Behavior and Its Impact on System Performance in Service Systems with the Congestion-Based Staffing Policy," Manufacturing & Service Operations Management, INFORMS, vol. 15(1), pages 118-131, September.
    12. Apostolos Burnetas & Antonis Economou & George Vasiliadis, 2017. "Strategic customer behavior in a queueing system with delayed observations," Queueing Systems: Theory and Applications, Springer, vol. 86(3), pages 389-418, August.
    13. Pengfei Guo & Refael Hassin, 2011. "Strategic Behavior and Social Optimization in Markovian Vacation Queues," Operations Research, INFORMS, vol. 59(4), pages 986-997, August.
    14. Peishu Chen & Wenhui Zhou & Yongwu Zhou, 2015. "Equilibrium Customer Strategies in the Queue with Threshold Policy and Setup Times," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, August.
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