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Deducing Queue Statistics from Transactional Data

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dc.creator Larson, Richard C., 1943-
dc.date 2004-05-28T19:22:04Z
dc.date 2004-05-28T19:22:04Z
dc.date 1987-08
dc.date.accessioned 2013-10-09T02:37:30Z
dc.date.available 2013-10-09T02:37:30Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5071
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description The transactional data of a queueing system are the recorded times of service commencement and service completion for each customer served. With increasing use of computers to aid or even perform service one often has machine readable transactional data, but virtually no information about the queue itself. In this paper we propose a way to deduce the queueing behavior of Poisson arrival queueing systems from only the transactional data and the Poisson assumption. For each congestion period in which queues may form, the key quantities obtained are mean wait in queue, time-dependent mean number in queue, and probability distribution of the number in queue observed by a randomly arriving customer. The methodology builds on arguments of order statistics and usually requires a computer to evaluate a recursive function. The paper concludes with a proposed procedure for estimating the extent of balking and/or reneging present in a queueing system.
dc.description Revised May 1988
dc.format 1739132 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 167-87
dc.title Deducing Queue Statistics from Transactional Data
dc.type Working Paper


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