MATRIX GEOMETRIC SOLUTION OF UNRELIABLE SERVER M/M/1 QUEUEING SYSTEM WITH SECOND OPTIONAL SERVICE

被引：0
作者：
Chauhan, Deepa [1 ]
机构：
[1] Allenhouse Inst Technol, Dept Math, Kanpur 208007, Uttar Pradesh, India
来源：
JOURNAL OF RAJASTHAN ACADEMY OF PHYSICAL SCIENCES | 2013年 / 12卷 / 03期
关键词：
Second optional service; matrix geometric technique; server breakdown; repair; queue size; throughput;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
An M/M/1 queueing system with second optional service and unreliable server is studied in existing paper. The customers arrive to the system according to Poisson process with state dependent rates depending upon the server's status. All customers demand the first essential service whereas only some of them demand the second optional service. A customer either may leave the system after the first essential service with probability (1- r), or at the completion of the first essential service go for second optional service with probability r (0 <= r <= 1) The matrix geometric technique is used for the analysis of the concerned queueing system. The sensitive analysis is also performed to examine the variation of the system perfounance characteristics with various input parameters.
引用
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页码：227 / 234
页数：8
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