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Transient and Busy Period Analysis of the Gi/G/1 Queue: Part II, Solution as a Hilbert Problem (Classic Reprint) - Softcover
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Excerpt from Transient and Busy Period Analysis of the Gi/G/1 Queue: Part II, Solution as a Hilbert Problem
In this subsection we define the random variables and establish the notation we are using. We assume that the system is initially idle and the first customer's arriving time is the forward recurrence interarrival time. Although this assumption is restrictive for the waiting time distribution, it is not restrictive for the busy period distribution, since the busy period regenerates.
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- PublisherForgotten Books
- Publication date2024
- ISBN 10 1333735324
- ISBN 13 9781333735326
- BindingPaperback
- LanguageEnglish
- Number of pages24
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Transient and Busy Period Analysis of the Gi/G/1 Queue: Part II
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book contributes to the fields of probability theory and queueing theory by presenting a mathematically rigorous approach to analyzing the transient behavior of the GI/G/1 queue. The GI/G/1 queue represents a queue with general inter-arrival times and general service times. By formulating the problem as a two-dimensional Lindley process and transforming it to a Hilbert factorization problem, the author derives closed-form expressions for the Laplace transforms of the waiting time distribution and the busy period distribution. These results extend and generalize previous findings for specific queueing models and provide valuable insights into the behavior of queues with arbitrary distributions. The author employs advanced mathematical techniques, including the method of stages, separation of variables, root finding, and linear and tensor algebra, to achieve these solutions. The book is suitable for researchers, graduate students, and practitioners in the fields of operations research, applied probability, and queueing theory who seek a comprehensive understanding of transient queueing analysis. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333735326_0
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Transient and Busy Period Analysis of the GiG1 Queue Part II, Solution as a Hilbert Problem Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781333735326
Quantity: 15 available
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Transient and Busy Period Analysis of the GiG1 Queue Part II, Solution as a Hilbert Problem Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LX-9781333735326
Quantity: 15 available