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Equilibrium customer behavior in the M/M/1 retrial queue with working vacations and a constant retrial rate

Author

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  • Nam H. Do

    (Budapest University of Technology and Economics)

  • Tien Do

    (Budapest University of Technology and Economics
    Ton Duc Thang University)

  • Agassi Melikov

    (Institute of Cybernetics National Academy of Sciences of Azerbaijan)

Abstract

In this paper, we investigate the M/M/1 retrial queue with working vacations and a constant retrial rate. In the queue, customers decide about the entry based on the information upon their arrival instants. Scenarios regarding the availability of information (i.e., the server is occupied or not, and the server is on the vacation or not) for customers are compared. We derive the closed form solution for the stationary probabilities of the queue. Social optimizing and Nash equilibrium strategies for joining the system are investigated. Based on numerical results, the social benefit rate is best when customers know all information about the server.

Suggested Citation

  • Nam H. Do & Tien Do & Agassi Melikov, 2020. "Equilibrium customer behavior in the M/M/1 retrial queue with working vacations and a constant retrial rate," Operational Research, Springer, vol. 20(2), pages 627-646, June.
    • Handle: RePEc:spr:operea:v:20:y:2020:i:2:d:10.1007_s12351-017-0369-7
    DOI: 10.1007/s12351-017-0369-7
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    References listed on IDEAS

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    1. Antonis Economou & Spyridoula Kanta, 2011. "Equilibrium customer strategies and social–profit maximization in the single‐server constant retrial queue," Naval Research Logistics (NRL), John Wiley & Sons, vol. 58(2), pages 107-122, March.
    2. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
    3. Wang, Jinting & Zhang, Feng, 2013. "Strategic joining in M/M/1 retrial queues," European Journal of Operational Research, Elsevier, vol. 230(1), pages 76-87.
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    Cited by:

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