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

  • 제27권2호
  • /
  • Pages.111-121
  • /
  • 2002
  • /
  • 1225-1119(pISSN)
  • /
  • 2733-4759(eISSN)
한국경영과학회 (The Korean Operations Research and Management Science Society)
권호 표지

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

An analysis of the $M^{X}/G/1$ system with various vacations and set-up time

  • 허선 (한양대학교 산업공학과) ;
  • 윤영호 (한양대학교 산업공학과) ;
  • 안선응 (한양대학교 산업공학과)
  • 발행 : 2002.06.01
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초록

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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참고문헌

  1. 대기행렬이론 이호우
  2. Thershold와 휴가가 있는 집단 대기행렬의 운영특성 이순석
  3. 대한사업공학회지 v.16 no.1 부가변수를 이용한 휴가형 대기행렬의 모형화 이순석;이호우
  4. Queueing Systems v.36 An MX/G/1 Queueing system with a Setup Period and a Vacation Period Choudhury, G. https://doi.org/10.1023/A:1019170817355
  5. Queueing Systems v.15 Operating characteristics of MX/G/1 queue with N-policy Lee, H.W.;Lee. S.S.;K.C. Chae https://doi.org/10.1007/BF01189247
  6. J. Appl. Prob. v.31 Analysis of MX/G/1 queue with N-Policy and multiple vacations Lee, H.W.;S.S. Lee;J.O. Park;K.C. Chae
  7. Comput. Oper. Res. v.22 Batch arrival queue with N-policy and single vacations Lee. S.S.;H.W. Lee;S.H. Yoon;K.C. Chae https://doi.org/10.1016/0305-0548(94)E0015-Y
  8. Applied Mathematical Modeling v.23 The effect of different arrival rates on the N-policy of M/G/1 with server setup Hur, S.;S.J. Paik https://doi.org/10.1016/S0307-904X(98)10088-4