Proceedings of the Korean Statistical Society Conference (한국통계학회:학술대회논문집)

The Korean Statistical Society (한국통계학회)
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An Optimal P$_{\lambda}^{M}$-Service Policy for an M/G/1 Queueing System

  • Bae, Jong-Ho (Department of Mathematics, Jeonju University) ;
  • Kim, Jong-Woo (Department of Mathematics, Pohang University of Science and Technology) ;
  • Lee, Eui-Yong (Department of Statistics, Sookmyung Women's University)
  • Published : 2003.10.31
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Abstract

We consider an M/G/1 queueing system under P$_{\lambda}^{M}$-service policy. As soon as the workload exceeds threshold ${\lambda}$ > 0, the service rate is increased from 1 to M ${\geq}$ 1 and is kept until the system becomes empty. After assigning several costs, we show that there exists a unique M minimizing the long-run average cost per unit time.

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