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A coupled processor model with simultaneous arrivals and ordered service requirements

Author

Listed:
  • E. S. Badila

    (Eindhoven University of Technology)

  • J. A. C. Resing

    (Eindhoven University of Technology)

Abstract

We study a coupled processor model with simultaneous arrivals. Under the assumption of ordered input, the Laplace–Stieltjes transform of the joint stationary amount of work in the system can be explicitly calculated by relating it to the amount of work in a parallel queueing system without coupling. This relation is first exploited for the system with two coupled queues. The method is then extended to higher dimensions.

Suggested Citation

  • E. S. Badila & J. A. C. Resing, 2016. "A coupled processor model with simultaneous arrivals and ordered service requirements," Queueing Systems: Theory and Applications, Springer, vol. 82(1), pages 29-42, February.
    • Handle: RePEc:spr:queues:v:82:y:2016:i:1:d:10.1007_s11134-015-9446-x
    DOI: 10.1007/s11134-015-9446-x
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