EXPLICIT SOLUTION FOR THE STATIONARY DISTRIBUTION OF A DISCRETE-TIME FINITE BUFFER QUEUE

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초록

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
DOI
10.3934/jimo.2016.12.1121
발행일
2016-07
유형
Article
저널명
Journal of Industrial and Management Optimization
권
12
호
3
페이지
1121 ~ 1133