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Part IV: 11 Comparison of queues with discrete-time arrival processes

  • Part IV Comparisons
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Book cover Discrete-Event Control of Stochastic Networks: Multimodularity and Regularity

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1829))

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Abstract

  • 11.1 Introduction

  • 11.2 On the Ross conjecture in discrete-time

  • 11.3 A comparison lemma and its applications

    • 11.3.1 Application 1: two i.i.d. MAP-sources perform better than 2 completely coupled Map-sources

    • 11.3.2 Application 2: a fixed batch size is better than random batch sizes

    • 11.3.3 Application 3: Fluid scaling improves the performance

  • 11.4 A second comparison lemma

  • 11.5 A stochastic lower bound on the traveling times

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© 2003 Springer-Verlag Berlin Heidelberg

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Altman, E., Gaujal, B., Hordijk, A. (2003). Part IV: 11 Comparison of queues with discrete-time arrival processes. In: Discrete-Event Control of Stochastic Networks: Multimodularity and Regularity. Lecture Notes in Mathematics, vol 1829. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-39705-2_12

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  • DOI: https://doi.org/10.1007/978-3-540-39705-2_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20358-2

  • Online ISBN: 978-3-540-39705-2

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