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A tandem fluid network with Lévy input in heavy traffic

Author

Listed:
  • D. T. Koops

    (University of Amsterdam)

  • O. J. Boxma

    (Eindhoven University of Technology)

  • M. R. H. Mandjes

    (University of Amsterdam)

Abstract

In this paper we study the stationary workload distribution of a fluid tandem queue in heavy traffic. We consider different types of Lévy input, covering compound Poisson, $$\alpha $$ α -stable Lévy motion (with $$1

Suggested Citation

  • D. T. Koops & O. J. Boxma & M. R. H. Mandjes, 2016. "A tandem fluid network with Lévy input in heavy traffic," Queueing Systems: Theory and Applications, Springer, vol. 84(3), pages 355-379, December.
    • Handle: RePEc:spr:queues:v:84:y:2016:i:3:d:10.1007_s11134-016-9500-3
    DOI: 10.1007/s11134-016-9500-3
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    References listed on IDEAS

    as
    1. K. Dębicki & A. B. Dieker & T. Rolski, 2007. "Quasi-Product Forms for Lévy-Driven Fluid Networks," Mathematics of Operations Research, INFORMS, vol. 32(3), pages 629-647, August.
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    Cited by:

    1. Michel Mandjes, 2022. "Multivariate M/G/1 systems with coupled input and parallel service," Queueing Systems: Theory and Applications, Springer, vol. 100(3), pages 309-311, April.

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