A SINGLE SERVER RETRIAL QUEUE WITH GENERAL RETRIAL TIMES AND TWO-PHASE SERVICE
Jinting WANG(1), Jianghua LI(2)
作者信息+
(1)Department of Mathematics, Beijing Jiaotong University, Beijing;(2)Commanding and Engineering Institute of Chemical Defence, Beijing
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A SINGLE SERVER RETRIAL QUEUE WITH GENERAL RETRIAL TIMES AND TWO-PHASE SERVICE
Jinting WANG(1), Jianghua LI(2)
Author information+
(1)Department of Mathematics, Beijing Jiaotong University, Beijing;(2)Commanding and Engineering Institute of Chemical Defence, Beijing
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文章历史+
收稿日期
修回日期
出版日期
2005-11-24
2008-04-01
2009-06-20
发布日期
2009-06-20
摘要
An retrial queue with a first-come-first-served (FCFS) orbit, general retrial time, two-phase service and server breakdown is investigated in this paper. Customers are allowed to balk and renege at particular times. Assume that the customers who find the server busy are queued in the orbit in accordance with an FCFS discipline. All customers demand the first ``essential" service, whereas only some of them demand the second ``optional" service, and the second service is multi-optional. During the service, the server is subject to breakdown and repair. Assume that the retrial time, the service time, and the repair time of the server are all arbitrarily distributed. By using the supplementary variables method, the authors obtain the steady-state solutions for both queueing and reliability measures of interest.
Abstract
An retrial queue with a first-come-first-served (FCFS) orbit, general retrial time, two-phase service and server breakdown is investigated in this paper. Customers are allowed to balk and renege at particular times. Assume that the customers who find the server busy are queued in the orbit in accordance with an FCFS discipline. All customers demand the first ``essential" service, whereas only some of them demand the second ``optional" service, and the second service is multi-optional. During the service, the server is subject to breakdown and repair. Assume that the retrial time, the service time, and the repair time of the server are all arbitrarily distributed. By using the supplementary variables method, the authors obtain the steady-state solutions for both queueing and reliability measures of interest.
Jinting WANG
, Jianghua LI. , {{custom_author.name_cn}}.
A SINGLE SERVER RETRIAL QUEUE WITH GENERAL RETRIAL TIMES AND TWO-PHASE SERVICE. 系统科学与复杂性(英文), 2009, 22(2): 291-302
Jinting WANG
, Jianghua LI. , {{custom_author.name_en}}.
A SINGLE SERVER RETRIAL QUEUE WITH GENERAL RETRIAL TIMES AND TWO-PHASE SERVICE. Journal of Systems Science and Complexity, 2009, 22(2): 291-302
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