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We consider strategic routing for a two-class discriminatory processor queue with an additional cost for joining the premium class. We show that, depending on the specific parameters of the system, various equilibria can coexist, including equilibria where the queueing system is not ergodic for the equilibrium traffic split. We also investigate how the server can select the priority of the classes and the fees charged from the customers in order to maximise its revenue.

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Strategic Routing in Heterogeneous Discriminatory Processor Sharing Queues

  • 会议论文

  • 发表日期：

    2025年

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  • Dieter Fiems,
  • Balakrishna J. Prabhu

摘要

We consider strategic routing for a two-class discriminatory processor queue with an additional cost for joining the premium class. We show that, depending on the specific parameters of the system, various equilibria can coexist, including equilibria where the queueing system is not ergodic for the equilibrium traffic split. We also investigate how the server can select the priority of the classes and the fees charged from the customers in order to maximise its revenue.