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A note on the convergence of asynchronous greedy algorithm with relaxation in a multiclass queueing environment

A note on the convergence of asynchronous greedy algorithm with relaxation in a multiclass queueing environment
A note on the convergence of asynchronous greedy algorithm with relaxation in a multiclass queueing environment
In this letter, we consider the convergence of an asynchronous greedy algorithm with relaxation for Nash equilibrium in a noncooperative multiclass queueing environment. The process of an asynchronous greedy algorithm is equivalent to the iteration of the Jacobi method in solving a linear system. However, it has been proved that the algorithm converges only for some particular range of queueing parameters. Here we propose the asynchronous greedy algorithm with relaxation, which is in principle equivalent to solving a linear system by the Jacobi method with relaxation. We propose also some relaxation parameters such that our algorithm converges very fast.
34-36
Ching, Wai Ki
cfee9d26-97e3-42ce-a4e9-b91e6d8aeef7
Ching, Wai Ki
cfee9d26-97e3-42ce-a4e9-b91e6d8aeef7

Ching, Wai Ki (1999) A note on the convergence of asynchronous greedy algorithm with relaxation in a multiclass queueing environment. IEEE Communications Letters, 3 (2), 34-36. (doi:10.1109/4234.749354).

Record type: Article

Abstract

In this letter, we consider the convergence of an asynchronous greedy algorithm with relaxation for Nash equilibrium in a noncooperative multiclass queueing environment. The process of an asynchronous greedy algorithm is equivalent to the iteration of the Jacobi method in solving a linear system. However, it has been proved that the algorithm converges only for some particular range of queueing parameters. Here we propose the asynchronous greedy algorithm with relaxation, which is in principle equivalent to solving a linear system by the Jacobi method with relaxation. We propose also some relaxation parameters such that our algorithm converges very fast.

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Published date: 1999
Organisations: Operational Research

Identifiers

Local EPrints ID: 29746
URI: http://eprints.soton.ac.uk/id/eprint/29746
PURE UUID: fd889467-d7e6-4013-9efb-5b84cc69a731

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Date deposited: 01 May 2007
Last modified: 15 Mar 2024 07:34

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Author: Wai Ki Ching

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