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Bulk Arrival Queue System With Vacations

Posted on:2012-03-25Degree:MasterType:Thesis
Country:ChinaCandidate:H T HuaFull Text:PDF
GTID:2210330338456723Subject:Probability theory and mathematical statistics
Abstract/Summary:PDF Full Text Request
For the sake of study, Levy and Davis, who relaxed Markov Process'restrictive condi-tions, which caused many scholars' interest in probability. In the end of 20th century, Hou Zhenting, a professor of The Zhong Nan Univisity of China, got these restrictive conditions more relaxed, and named it Markov Skeleton Process, which would have wider applications obviously. Specially, it has shown its special advantages in queuing theory's research.M/G/1 and GI/GI/1 Queuing Theorys are the most two important queuing models. In actual life, take the bus stations and the tourism company for example, the customs reaching and leaving in groups queuing type is relatively common queuing types. In this paper, we consider a queuing system, in which the customs reach and leave in groups and the personnel has vacations, applying Markov Skeleton Process Theory, and in the end we get the instantaneous distribution of the queuing system.With the development of the Markov Skeleton Process, and its wide application in queuing theory, Markov Skeleton Process will play a more important role in the develop-ment of queuing theory.
Keywords/Search Tags:Markov Skeleton Process, Bulk Arriving, Vacations, Queueing Theory, Instantaneous Distribution, The Minimum and Nonnegative Solution
PDF Full Text Request
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