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Operations Research, Systems Engineering and Industrial Engineering Commons

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Theses

1992

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Simulation Study For The Effect Of Dependencies In Queueing Systems, Yitao Bai Dec 1992

Simulation Study For The Effect Of Dependencies In Queueing Systems, Yitao Bai

Theses

Few theoretical results have been obtained in the literature for the effects of dependencies between random variables on the performance of queueing systems. This thesis aims at investigating this issue via simulation. Several dependencies are studied in detail, including dependencies between interarrival times, between interarrival time and service time, between service times and dependencies between different stages in networks of queues. We define several classes of dependent random variables and study their correlation coefficients, then we apply them to single and multiple station service systems. Comparisons with the independent case, for which the explicit form solution are available, are made ...