Cyclic change of server's performance: Impacts and applications

Boray Huang, Jingui Xie, Qi Ming He

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


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 languageEnglish
Pages (from-to)703-713
Number of pages11
JournalIEEE Transactions on Automatic Control
Issue number3
Early online date24 Oct 2013
Publication statusPublished - Mar 2014


  • 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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