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Optimal Strategy and System Performance in a Feedback Queue with Customer-intensive Services and Boundedly Rational Customers

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  • Yang Song

    (Nanjing University of Aeronautics and Astronautics)

  • Xinying Liu

    (Nanjing University of Aeronautics and Astronautics)

Abstract

In this paper, we consider a feedback queue with one server providing customer-intensive services. The service reward increases with service time, while extended service time results in longer waiting time. Customers are boundedly rational and decide whether to join the system based on a logit model upon their arrival. From the perspective of revenue maximization and social welfare maximization, this paper considers the trade-off between speed and quality of service, also studies the optimal service rate, service price and some system performances. Under two different strategies, we study the price of anarchy (PoA), i.e., the ratio of corresponding welfare, which quantifies the harm of service provider’s selfish behavior, and we obtain the interval of PoA and its characteristics. Additionally, we conduct numerical simulations to illustrate the quantitative outcomes of system operations.

Suggested Citation

  • Yang Song & Xinying Liu, 2025. "Optimal Strategy and System Performance in a Feedback Queue with Customer-intensive Services and Boundedly Rational Customers," Methodology and Computing in Applied Probability, Springer, vol. 27(1), pages 1-16, March.
    • Handle: RePEc:spr:metcap:v:27:y:2025:i:1:d:10.1007_s11009-025-10144-y
    DOI: 10.1007/s11009-025-10144-y
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    References listed on IDEAS

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    1. Shi, Ying & Lian, Zhaotong, 2016. "Optimization and strategic behavior in a passenger–taxi service system," European Journal of Operational Research, Elsevier, vol. 249(3), pages 1024-1032.
    2. Xin Li & Pengfei Guo & Zhaotong Lian, 2016. "Quality-Speed Competition in Customer-Intensive Services with Boundedly Rational Customers," Production and Operations Management, Production and Operations Management Society, vol. 25(11), pages 1885-1901, November.
    3. Hung Q. Nguyen & Tuan Phung-Duc, 2022. "Strategic customer behavior and optimal policies in a passenger–taxi double-ended queueing system with multiple access points and nonzero matching times," Queueing Systems: Theory and Applications, Springer, vol. 102(3), pages 481-508, December.
    4. Canbolat, Pelin G., 2020. "Bounded rationality in clearing service systems," European Journal of Operational Research, Elsevier, vol. 282(2), pages 614-626.
    5. 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.
    6. Rakesh Kumar & Narendra Kumar Jain & Bhupernder Kumar Som, 2014. "Optimization of an M/M/1/N feedback queue with retention of reneged customers," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(3), pages 45-58.
    7. Krishnan S. Anand & M. Faz{i}l Paç & Senthil Veeraraghavan, 2011. "Quality-Speed Conundrum: Trade-offs in Customer-Intensive Services," Management Science, INFORMS, vol. 57(1), pages 40-56, January.
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