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Equilibrium Joining Strategy in a Batch Transfer Queuing System with Gated Policy

Author

Listed:
  • Zhen Wang

    (Nanjing University of Science and Technology)

  • Liwei Liu

    (Nanjing University of Science and Technology)

  • Yuanfu Shao

    (Guilin University of Technology)

  • Xudong Chai

    (Nanjing University of Science and Technology)

  • Baoxian Chang

    (Nanjing TECH University)

Abstract

In this paper, strategic behavior of passengers in a batch transfer queuing system with gated policy under complete information is investigated. Two solutions are used to solve the stationary distribution of the system. Particularly, suppose that arriving passengers have the opportunity to observe all information of the system upon arrival, we derive equilibrium joining strategy of passengers under this information when passengers fall into the dilemma of joining or balking. We prove that the equilibrium joining strategy is a threshold type, but when some parameters change, it may be changed. Under the equilibrium strategy of threshold type of the observable case, we give the parameterized expected total net social benefit function. Finally, a number of numerical experiments on equilibrium social benefit with respect to several parameters are presented, which are used to explore the theoretical results of the system and compare observable case and unobservable case of the system.

Suggested Citation

  • Zhen Wang & Liwei Liu & Yuanfu Shao & Xudong Chai & Baoxian Chang, 2020. "Equilibrium Joining Strategy in a Batch Transfer Queuing System with Gated Policy," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 75-99, March.
    • Handle: RePEc:spr:metcap:v:22:y:2020:i:1:d:10.1007_s11009-018-9687-3
    DOI: 10.1007/s11009-018-9687-3
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    References listed on IDEAS

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    Cited by:

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    2. Satin, Y.A. & Razumchik, R.V. & Zeifman, A.I. & Kovalev, I.A., 2022. "Upper bound on the rate of convergence and truncation bound for non-homogeneous birth and death processes on Z," Applied Mathematics and Computation, Elsevier, vol. 423(C).
    3. Ayane Nakamura & Tuan Phung-Duc, 2023. "Equilibrium Analysis for Batch Service Queueing Systems with Strategic Choice of Batch Size," Mathematics, MDPI, vol. 11(18), pages 1-22, September.

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