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An N Server Cutoff Multi-Priority Queue

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dc.creator Schaack, Christian
dc.creator Larson, Richard C., 1943-
dc.date 2004-05-28T19:36:44Z
dc.date 2004-05-28T19:36:44Z
dc.date 1985-02
dc.date.accessioned 2013-10-09T02:39:25Z
dc.date.available 2013-10-09T02:39:25Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5381
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description Consider a multi-priority, nonpreemptive, N-server Poisson arrival queueing system. Service times are negative exponential. In order to save available servers for higher priority customers, arriving customers of each lower priority are deliberately queued whenever the number of servers busy equals or exceeds a given priority-dependent cutoff number. A queued priority i customer enters service the instant there are fewer than the respective cutoff number of servers busy and all higher priority queues are empty. The principal result is the priority i waiting time mean, second moment, and distribution (in transforms). The analysis is extended to systems in which any subset of priority levels may overflow to some other system, rather than join infinite capacity queues. The paper concludes with illustrative computational results.
dc.format 1598457 bytes
dc.format application/pdf
dc.language en_US
dc.publisher Massachusetts Institute of Technology, Operations Research Center
dc.relation Operations Research Center Working Paper;OR 135-85
dc.title An N Server Cutoff Multi-Priority Queue
dc.type Working Paper


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