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Construction of the stationary regime of queues with locking

Author

Listed:
  • Baccelli, F.
  • Courcoubetis, C.A.
  • Reiman, M.I.

Abstract

We consider a queueing system with N servers and two types of customers: Simple customers which require a service from one of the N servers and Locking customers which have to be served simultaneously by all N servers. Loyne's increasing schema is generalized to this type of queueing system. Various properties such as the stability condition and the uniqueness of the stationary regime are then derived.

Suggested Citation

  • Baccelli, F. & Courcoubetis, C.A. & Reiman, M.I., 1987. "Construction of the stationary regime of queues with locking," Stochastic Processes and their Applications, Elsevier, vol. 26, pages 257-265.
    • Handle: RePEc:eee:spapps:v:26:y:1987:i::p:257-265
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    Cited by:

    1. Mor Harchol-Balter, 2022. "The multiserver job queueing model," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 201-203, April.

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