워킹 휴가형 GI/M/1 대기행렬의 바쁜기간 분석

Busy Period Analysis for the GI/M/1 Queue with Working Vacations

  • 채경철 (한국과학기술원 산업공학과) ;
  • 임대은 (한국과학기술원 산업공학과)
  • 발행 : 2007.06.30

초록

We consider a GI/M/1 queue with vacations such that the server works with different rate rather than completely stops working during a vacation period. We derive the transform of the joint distribution of the length of a busy period, the number of customers served during the busy period, and the length of the subsequent idle period.

키워드

참고문헌

  1. 이호우, 대기행렬 이론, 3판, 시그마프레스, 2006
  2. Baba, Y, 'Analysis of a GI/M/1 Queue with Multiple Working Vacations,' Operations Research Letters, Vol.33(2005), pp.201-209 https://doi.org/10.1016/j.orl.2004.05.006
  3. Chae, K.C. and S.J. Kim, 'Busy Period Analysis for the GI/M/1 Queue with Exponential Vacations,' Operations Research Letters, Vol.35(2007), pp.114-118 https://doi.org/10.1016/j.orl.2006.01.003
  4. Cohen, J.W., The Single Server Queue, Revised Edition, North-Holland, Amsterdam, 1982
  5. Servi, L.D. and S.G. Finn, 'M/M/1 Queue with Working Vacations (M/M/1/WV),' Performance Evaluation, Vol.50(2002), pp.41-52 https://doi.org/10.1016/S0166-5316(02)00057-3
  6. Takacs, L., Theory of Queues, Oxford University Press, Oxford, 1962 (Reprinted in 1982 by Greenwood Press, Westport, CT)
  7. Wu, D.A. and H. Takagi, 'M/G/1 Queue with Multiple Working Vacations,' Performance Evaluation, Vol.63(2006), pp.654-681 https://doi.org/10.1016/j.peva.2005.05.005