JournalspmVol. 65 / No. 4DOI 10.4171/pm/1825

Study of the maximal throughput of multiclass queueing systems

  • Faiza Belarbi

    Université Djillali Liabès, Sidi Bel Abbès, Algeria
  • Amina A. Bouchentouf

    Université Djillali Liabès, Sidi Bel Abbès, Algeria
Study of the maximal throughput of multiclass queueing systems cover

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Abstract

The stability properties of the bandwidth allocation algorithm First Fit are analyzed for the distributions concentrated on three sizes for the requests and the bin equal to 5. To analyze these processes we introduce the notion of a smooth initial state. Starting from a smooth initial state the fluid limits of these systems are investigated.