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Virtual allocation policies for many-server queues with abandonment

Author

Listed:
  • Zhenghua Long

    (Nanjing University
    The Hong Kong University of Science and Technology)

  • Jiheng Zhang

    (Nanjing University)

Abstract

We study a multiclass many-server queueing system with renewal arrivals and generally distributed service and patience times under a nonpreemptive allocation policy. The status of the system is described by a pair of measure-valued processes to track the residual service and patience times of customers in each class. We establish fluid approximations and study the long-term behavior of the fluid model. The equilibrium state of the fluid model leads to a nonlinear program, which enables us to identify a lower bound for the long-run expected total holding and abandonment costs and design an allocation policy to achieve this lower bound. The optimality of the proposed policy is also demonstrated via numerical experiments.

Suggested Citation

  • Zhenghua Long & Jiheng Zhang, 2019. "Virtual allocation policies for many-server queues with abandonment," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 90(3), pages 399-451, December.
    • Handle: RePEc:spr:mathme:v:90:y:2019:i:3:d:10.1007_s00186-019-00683-9
    DOI: 10.1007/s00186-019-00683-9
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    References listed on IDEAS

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