Cyclic change of server's performance: Impacts and applications

Boray Huang; Jingui Xie; Qi Ming He

doi:10.1109/TAC.2013.2287111

Cyclic change of server's performance: Impacts and applications

Boray Huang, Jingui Xie, Qi Ming He

University of Dundee School of Business

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This paper studies a stochastic system where the performance of the server changes stochastically and cyclically. We first investigate the performance measures of the system, including the queue length and the overall cost. In particular, we derive an exact expression for the expected length of the renewal cycle, and present closed matrix forms for the mean and variance of the queue length. We then develop an explicit method to tackle a workload control problem, based on an M/G/1 queue approximation. Numerical examples are presented to illustrate the effectiveness of the method.

Original language	English
Pages (from-to)	703-713
Number of pages	11
Journal	IEEE Transactions on Automatic Control
Volume	59
Issue number	3
Early online date	24 Oct 2013
DOIs	https://doi.org/10.1109/TAC.2013.2287111
Publication status	Published - Mar 2014

Keywords

Cyclic change behaviour
M/G/1 queue
optimal workload control
system performance

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2013.2287111

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AB - This paper studies a stochastic system where the performance of the server changes stochastically and cyclically. We first investigate the performance measures of the system, including the queue length and the overall cost. In particular, we derive an exact expression for the expected length of the renewal cycle, and present closed matrix forms for the mean and variance of the queue length. We then develop an explicit method to tackle a workload control problem, based on an M/G/1 queue approximation. Numerical examples are presented to illustrate the effectiveness of the method.

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Cyclic change of server's performance: Impacts and applications

Abstract

Keywords

ASJC Scopus subject areas

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