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Whittle index approach to size-aware scheduling for time-varying channels with multiple states

Author

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  • Samuli Aalto

    (Aalto University)

  • Pasi Lassila

    (Aalto University)

  • Prajwal Osti

    (Aalto University)

Abstract

We consider the optimal opportunistic scheduling problem for downlink data traffic in a wireless cell with time-varying channels. The scheduler itself operates at a very fast time scale of milliseconds, but the objective function is related to minimizing the holding costs at a much longer time scale, at the so-called flow level. The Whittle index approach is a powerful tool in this context, since it renders the flow-level optimization problem with heterogeneous users tractable. Until now, this approach has been applied to the opportunistic scheduling problem to generate non-anticipating index policies that may depend on the amount of attained service but do not utilize the exact size information. In this paper, we produce a size-aware (i.e., anticipating) index policy by applying the Whittle index approach in a novel way. By a numerical study based on simulations, we demonstrate that the resulting size-aware index policy systematically improves performance. As a side result, we show that the opportunistic scheduling problem is indexable when the file sizes follow the Pascal distribution, and we derive the corresponding Whittle index, which generalizes earlier results.

Suggested Citation

  • Samuli Aalto & Pasi Lassila & Prajwal Osti, 2016. "Whittle index approach to size-aware scheduling for time-varying channels with multiple states," Queueing Systems: Theory and Applications, Springer, vol. 83(3), pages 195-225, August.
    • Handle: RePEc:spr:queues:v:83:y:2016:i:3:d:10.1007_s11134-016-9484-z
    DOI: 10.1007/s11134-016-9484-z
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    References listed on IDEAS

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    1. Linus Schrage, 1968. "Letter to the Editor—A Proof of the Optimality of the Shortest Remaining Processing Time Discipline," Operations Research, INFORMS, vol. 16(3), pages 687-690, June.
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    Cited by:

    1. Rob Shone & Vincent A. Knight & Paul R. Harper, 2020. "A conservative index heuristic for routing problems with multiple heterogeneous service facilities," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 92(3), pages 511-543, December.

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