베르누이 피드백이 있는 2단계서비스 대기모형의 성능분석

Performance Analysis of a Two-phase Queueing System with Bernoulli Feedback

  • Park, Doo-Il (Department of Applied Mathematics, Halla University) ;
  • Kim, Tae-Sung (Department of Management Information Systems, Chungbuk National University)
  • 발행 : 2003.01.01

초록

We consider a two-phase queueing system with Bernoulli feedback. Customers arrive at the system according to a Poison process and receive batch service in the first phase followed by individual services in the second phase. Each customer who completes the individual service returns to the tail of the second phase service queue with probability 1 -$\sigma$. This type of queueing problem cad be easily found in computer and telecommunication systems. By deriving a relationship between the generating functions for system size at various embedded epochs, we obtain the system size distribution. The exhaustive and gated cases for the batch service are considered.

키워드

참고문헌

  1. Operations Research Letters v.10 Analysis of a two phase queueing system with general service times B.Doshi
  2. Journal of the Korean Institute of Industrial Engineers v.22 Two-phase queueing system with generalized vacation T.S.Kim;K.C.Chae
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  4. Operations Research Letters v.9 A study of two-phase service C.M.Krishna;Y.H.Lee
  5. Queueing Analysis: A Foundation of Performance Evaluation v.1 H.Takagi