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Adaptive optimal load balancing in a nonhomogeneous multiserver system with a central job scheduler

Bonomi, F and Kumar, A (1990) Adaptive optimal load balancing in a nonhomogeneous multiserver system with a central job scheduler. In: IEEE Transactions on Computers, 39 (10). pp. 1232-1250.

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Abstract

A model comprising several servers, each equipped with its own queue and with possibly different service speeds, is considered. Each server receives a dedicated arrival stream of jobs; there is also a stream of generic jobs that arrive to a job scheduler and can be individually allocated to any of the servers. It is shown that if the arrival streams are all Poisson and all jobs have the same exponentially distributed service requirements, the probabilistic splitting of the generic stream that minimizes the average job response time is such that it balances the server idle times in a weighted least-squares sense, where the weighting coefficients are related to the service speeds of the servers. The corresponding result holds for nonexponentially distributed service times if the service speeds are all equal. This result is used to develop adaptive quasi-static algorithms for allocating jobs in the generic arrival stream when the load parameters are unknown. The algorithms utilize server idle-time measurements which are sent periodically to the central job scheduler. A model is developed for these measurements, and the result mentioned is used to cast the problem into one of finding a projection of the root of an affine function, when only noisy values of the function can be observed

Item Type: Journal Article
Additional Information: Copyright 1990 IEEE. Personal use of this material is permitted.However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 06 Jan 2011 10:03
Last Modified: 06 Jan 2011 10:03
URI: http://eprints.iisc.ernet.in/id/eprint/34862

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