Titlebook: Stability of Queueing Networks; École d‘Été de Proba Maury Bramson Book 2008 Springer-Verlag Berlin Heidelberg 2008 fluid models.multiclass

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The Classical Networks,ions have explicit product-like formulas. The first family includes networks with the FIFO discipline, and the second family includes networks with the PS and LIFO disciplines, as well as infinite server (IS) networks. We introduced the first three networks in Section 1.2; we will define infinite se

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Stability of Queueing Networks,briefly in Section 1.3; we will examine both fluid limits and fluid models in detail here. Employing these tools, one can reduce the study of queueing networks to their simpler deterministic analogs. The basic theory is given here; applications will be given in Chapter 5..Independently, [St95] and [

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Applications and Some Further Theory,pe..The material in this chapter relies on a number of papers. The material in the first three sections is mostly from [Br98a], [DaWe96], and [Br96a]. The material in Section 5.4 is mostly from [DaV00], and that in Section 5.5 is mostly from [Da96], [Br99], [DaHV04], and [GaH05].

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Book 2008network upon completion of service. Since the early 1990s, substantial attention has been devoted to the question of when such networks are stable. ..This volume presents a summary of such work. Emphasis is placed on the use of fluid models in showing stability, and on examples of queueing networks

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