A workload-dependent M/G/1 queue under a two-stage service policy

  • Authors:

  • Jiyeon Lee;Jongwoo Kim

  • Affiliations:

  • Department of Statistics, Yeungnam University, Kyongbuk 712-749, Korea;Statistical Research Center for Complex Systems, Seoul National University, Seoul 151-742, Korea

  • Venue:
  • Operations Research Letters
  • Year:
  • 2006

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Abstract

We consider an M/G/1 queueing system where the speed of the server depends on the amount of work present in the system. As a service policy, we adopt the P"@l","@t^M release policy in a dam model. By using the level crossing theory and solving the corresponding integral equations, we obtain the stationary distribution of the workload in the system explicitly.