General Stochastic Processes in the Theory of Queues

Nonfiction, Science & Nature, Mathematics, Probability, Statistics, Technology, Engineering
Cover of the book General Stochastic Processes in the Theory of Queues by Vaclav E. Benes, Dover Publications
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Author: Vaclav E. Benes ISBN: 9780486823379
Publisher: Dover Publications Publication: June 15, 2017
Imprint: Dover Publications Language: English
Author: Vaclav E. Benes
ISBN: 9780486823379
Publisher: Dover Publications
Publication: June 15, 2017
Imprint: Dover Publications
Language: English

This concise, widely referenced monograph addresses an important topic in queuing theory: delays in queuing systems with one server. The book offers a general, rigorous presentation of mathematical theory in addition to an understandable, practical account of applications. This balanced treatment is suitable for advanced undergraduates and graduate students in applied mathematics, operations research, and electrical engineering as well as professional electrical engineers.
The text examines delays in queues with one server and order of arrival service without any restrictions on the statistical character of the offered traffic. Formulas and equations describing probabilities of delay and loss are established by elementary methods. Despite the generality of the approach, intuitive proofs and extensive applications of the physical significance of formulas are given, along with rigorous derivations. The theory is then applied to specific models to obtain illustrative new results.

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This concise, widely referenced monograph addresses an important topic in queuing theory: delays in queuing systems with one server. The book offers a general, rigorous presentation of mathematical theory in addition to an understandable, practical account of applications. This balanced treatment is suitable for advanced undergraduates and graduate students in applied mathematics, operations research, and electrical engineering as well as professional electrical engineers.
The text examines delays in queues with one server and order of arrival service without any restrictions on the statistical character of the offered traffic. Formulas and equations describing probabilities of delay and loss are established by elementary methods. Despite the generality of the approach, intuitive proofs and extensive applications of the physical significance of formulas are given, along with rigorous derivations. The theory is then applied to specific models to obtain illustrative new results.

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