Cyclic Change of Server´s Performance: Impacts and Applications

Author

Huang, Bo ; Jingui Xie ; Qi-Ming He

Author_Institution

Dept. of Ind. & Syst. Eng., Nat. Univ. of Singapore, Singapore, Singapore

Volume

59

Issue

3

fYear

2014

fDate

Mar-14

Firstpage

703

Lastpage

713

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.

Keywords

matrix algebra; optimal control; queueing theory; stochastic systems; M/G/1 queue approximation; matrix algebra; mean; optimal workload control; queue length; renewal cycle; stochastic server change performance measure; stochastic system; system performance; variance; Approximation methods; Educational institutions; Markov processes; Queueing analysis; Random variables; Servers; Vectors; Cyclic change behaviour; M/G/1 queue; optimal workload control; system performance;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2013.2287111

Filename

6646265