Journal of the Korean Operations Research and Management Science Society (한국경영과학회지)

The Korean Operations Research and Management Science Society (한국경영과학회)
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An analysis of the $M^{X}/G/1$ system with various vacations and set-up time

준비기간을 포함한 다양한 휴가형태에서의 $M^{X}/G/1$ 시스템 분석

  • 허선 (한양대학교 산업공학과) ;
  • 윤영호 (한양대학교 산업공학과) ;
  • 안선응 (한양대학교 산업공학과)
  • Published : 2002.06.01
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Abstract

In this paper, we analyze an M$^{x}$ /G/1 with three types of vacation periods including setup time. Three types of vacations are : N-policy, single vacation, and multiple vacation. We consider compound poisson arrival process and general service time, where the server starts his service when a setup is completed. We find the PGF of the number of customers in system and LST of waiting time, with welch we obtain their means. A decomposition property for the system sloe and waiting time is described also.

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References

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