Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
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Analysis of the M/Gb/1 Queue by the Arrival Time Approach

도착시점방법에 의한 M/Gb/1 대기행렬의 분석

  • Chae, Kyung-Chul (Department of Industrial Engineering, KAIST) ;
  • Chang, Seok-Ho (Department of Industrial Engineering, KAIST) ;
  • Lee, Ho-Woo (School of Systems Management Engineering, Sung Kyun Kwan University)
  • 채경철 (한국과학기술원 산업공학과) ;
  • 장석호 (한국과학기술원 산업공학과) ;
  • 이호우 (성균관대학교 시스템경영공학부)
  • Published : 2002.03.31
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Abstract

We analyze bulk service $M/G^{b}/1$ queues using the arrival time approach of Chae et al. (2001). As a result, the decomposition property of the M/G/1 queue with generalized vacations is extended to the $M/G^{b}/1$ queue in which the batch size is exactly a constant b. We also demonstrate that the arrival time approach is useful for relating the time-average queue length PGF to that of the departure time, both for the $M/G^{b}/1$queue in which the batch size is as big as possible but up to the maximum of constant b. The case that the batch size is a random variable is also briefly mentioned.

Keywords

References

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