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EXPLICIT SOLUTION FOR THE STATIONARY DISTRIBUTION OF A DISCRETE-TIME FINITE BUFFER QUEUE
- Kim, Bara;
- Kim, Jeongsim
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4초록
We consider a discrete-time single server queue with finite buffer. The customers arrive according to a discrete-time batch Markovian arrival process with geometrically distributed batch sizes and the service time is one time slot. For this queueing system, we obtain an exact closed-form expression for the stationary queue length distribution. The expression is in a form of mixed matrix-geometric solution.
키워드
Discrete-time queue; discrete-time batch markovian arrival process; stationary distribution; quadratic matrix equation; mixed matrix-geometric solution
- 제목
- EXPLICIT SOLUTION FOR THE STATIONARY DISTRIBUTION OF A DISCRETE-TIME FINITE BUFFER QUEUE
- 저자
- Kim, Bara; Kim, Jeongsim
- 발행일
- 2016-07
- 유형
- Article
- 권
- 12
- 호
- 3
- 페이지
- 1121 ~ 1133