Analytic and Numerical Solutions of anNDuplicate-Server System
作者:
JunK. P.,
PerrosH. G.,
期刊:
Journal of the Operational Research Society
(Taylor Available online 1988)
卷期:
Volume 39,
issue 10
页码: 949-958
ISSN:0160-5682
年代: 1988
DOI:10.1057/jors.1988.161
出版商: Taylor&Francis
关键词: Generating Functions;Matrix-Geometric Procedure;Queueing Analysis;Reconfigurable Duplication
数据来源: Taylor
摘要:
AbstractWe consider anNduplicate-server system, where each server consists of two reconfigurable duplicated units which are subject to breakdowns. This system is studied analytically using generating-functions, and also numerically using the matrix-geometric procedure. Using the generating-function approach we obtain a recursive expression of the queue-length probability distribution forN= 1. This expression is difficult to generalize toN⩾2. The numerical method is applicable for any value ofN. For anyN, we also obtain the condition for stability and the availability of the system.
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