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Many-sources large deviations for max-weight scheduling

Kittipiyakul, Somsak and Javidi, Tara and Subramanian, Vijay G. (2008) Many-sources large deviations for max-weight scheduling. In: Conference on Communication, Control, and Computing, 2008 46th Annual Allerton , 23-26 Sept 2008.

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Abstract

In this paper, we establish a many-sources large deviations principle (LDP) for the stationary workload of a multi-queue single-server system with simplex capacity, operated under a stabilizing and non-idling maximum-weight scheduling policy. Assuming a many-sources sample path LDP for the arrival processes, we establish an LDP for the workload process by employing Garcia’s extended contraction principle that is applicable to quasi-continuous mappings. The LDP result can be used to calculate asymptotic buffer overflow probabilities accounting for the multiplexing gain, when the arrival process is an average of i.i.d. processes. We express the rate function for the stationary workloads in term of the rate functions of the finite-horizon workloads when the arrival processes have i.i.d. increments.

Item Type: Conference or Workshop Item (Paper)
Keywords: Many-sources large deviations principle (LDP); Max-weight scheduling; Quasi-continuous mappings; Hamilton Institute.
Subjects: Science & Engineering > Hamilton Institute
Item ID: 1686
Depositing User: Hamilton Editor
Date Deposited: 26 Nov 2009 09:49
Refereed: Yes
URI:

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