Analytical solution of the state-dependent Erlangian queue: M/E(j)/1/N with balking

被引:6
|
作者
AlSeedy, RO
机构
[1] Department of Mathematics, Faculty of Science, Menofia University, Shebin El-Kom
来源
MICROELECTRONICS AND RELIABILITY | 1996年 / 36卷 / 02期
关键词
D O I
10.1016/0026-2714(95)00069-E
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The objective of this paper is to derive the analytical solution of the truncated single-channel Erlangian queue M/E(j)/1/N with balking and state-dependent service rate. The researcher deduces p(ns), the probability of n units in the system (n = 1, 2, 3,..., N) and the customer in service being in phase backwards, i.e. j is the first phase of service and 1 is the last (a customer leaving phase 1 actually leaves the system). p(0) is the probability of an empty system by using the iterative method. At the end of this paper some special cases are obtained.
引用
收藏
页码:203 / 206
页数:4
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