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Calculation of the performance region of an easy-to-optimize alternative for Generalized Processor Sharing

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  • Vanlerberghe, Jasper
  • Walraevens, Joris
  • Maertens, Tom
  • Bruneel, Herwig

Abstract

Service differentiation is a basic requirement in every modern queueing system with multiple classes of customers. In this paper, we look at Hierarchical Generalized Processor Sharing (H-GPS), which is a discrete-time hierarchically-structured implementation of the well-known idealized Generalized Processor Sharing (GPS) scheduling discipline. We prove that, for three classes, H-GPS can be configured to obtain any performance possible by other scheduling mechanisms, such as priority queueing or GPS. The hierarchical nature of a H-GPS system, however, has the major advantage that optimization is easier and more intuitive. To this end, we also present an algorithm to calculate the configuration parameters for H-GPS given a certain performance objective.

Suggested Citation

  • Vanlerberghe, Jasper & Walraevens, Joris & Maertens, Tom & Bruneel, Herwig, 2018. "Calculation of the performance region of an easy-to-optimize alternative for Generalized Processor Sharing," European Journal of Operational Research, Elsevier, vol. 270(2), pages 625-635.
    • Handle: RePEc:eee:ejores:v:270:y:2018:i:2:p:625-635
    DOI: 10.1016/j.ejor.2018.04.018
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    References listed on IDEAS

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    Cited by:

    1. Legros, Benjamin & Jouini, Oualid, 2019. "On the scheduling of operations in a chat contact center," European Journal of Operational Research, Elsevier, vol. 274(1), pages 303-316.

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