[PDF] Difference And Differential Equations With Applications In Queueing Theory eBook

Author : Aliakbar Montazer Haghighi
Publisher : John Wiley & Sons
Page : 418 pages
File Size : 15,41 MB
Release : 2013-05-28
Category : Technology & Engineering
ISBN : 1118400658

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A Useful Guide to the Interrelated Areas of Differential Equations, Difference Equations, and Queueing Models Difference and Differential Equations with Applications in Queueing Theory presents the unique connections between the methods and applications of differential equations, difference equations, and Markovian queues. Featuring a comprehensive collection of topics that are used in stochastic processes, particularly in queueing theory, the book thoroughly discusses the relationship to systems of linear differential difference equations. The book demonstrates the applicability that queueing theory has in a variety of fields including telecommunications, traffic engineering, computing, and the design of factories, shops, offices, and hospitals. Along with the needed prerequisite fundamentals in probability, statistics, and Laplace transform, Difference and Differential Equations with Applications in Queueing Theory provides: A discussion on splitting, delayed-service, and delayed feedback for single-server, multiple-server, parallel, and series queue models Applications in queue models whose solutions require differential difference equations and generating function methods Exercises at the end of each chapter along with select answers The book is an excellent resource for researchers and practitioners in applied mathematics, operations research, engineering, and industrial engineering, as well as a useful text for upper-undergraduate and graduate-level courses in applied mathematics, differential and difference equations, queueing theory, probability, and stochastic processes.

Author : David L. Jagerman
Publisher : CRC Press
Page : 277 pages
File Size : 17,20 MB
Release : 2000-08-22
Category : Mathematics
ISBN : 0824746600

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"Presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N.E. Norlund, allowing differentation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. Discusses linear transformations that state conditions for convergence of Newton series and Norlund sums!"

Author : Aliakbar Montazer Haghighi
Publisher : John Wiley & Sons
Page : 490 pages
File Size : 36,84 MB
Release : 2016-09-08
Category : Mathematics
ISBN : 1119022150

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Presents an introduction to differential equations, probability, and stochastic processes with real-world applications of queues with delay and delayed network queues Featuring recent advances in queueing theory and modeling, Delayed and Network Queues provides the most up-to-date theories in queueing model applications. Balancing both theoretical and practical applications of queueing theory, the book introduces queueing network models as tools to assist in the answering of questions on cost and performance that arise throughout the life of a computer system and signal processing. Written by well-known researchers in the field, the book presents key information for understanding the essential aspects of queues with delay and networks of queues with unreliable nodes and vacationing servers. Beginning with simple analytical fundamentals, the book contains a selection of realistic and advanced queueing models that address current deficiencies. In addition, the book presents the treatment of queues with delay and networks of queues, including possible breakdowns and disruptions that may cause delay. Delayed and Network Queues also features: Numerous examples and exercises with applications in various fields of study such as mathematical sciences, biomathematics, engineering, physics, business, health industry, and economics A wide array of practical applications of network queues and queueing systems, all of which are related to the appropriate stochastic processes Up-to-date topical coverage such as single- and multiserver queues with and without delays, along with the necessary fundamental coverage of probability and difference equations Discussions on queueing models such as single- and multiserver Markovian queues with balking, reneging, delay, feedback, splitting, and blocking, as well as their role in the treatment of networks of queues with and without delay and network reliability Delayed and Network Queues is an excellent textbook for upper-undergraduate and graduate-level courses in applied mathematics, queueing theory, queueing systems, probability, and stochastic processes. The book is also an ideal reference for academics and practitioners in mathematical sciences, biomathematics, operations research, management, engineering, physics, business, economics, health industry, and industrial engineering. Aliakbar Montazer Haghighi, PhD, is Professor and Head of the Department of Mathematics at Prairie View A&M University, USA, as well as founding Editor-in-Chief of Applications and Applied Mathematics: An International Journal (AAM). His research interests include probability, statistics, stochastic processes, and queueing theory. Among his research publications and books, Dr. Haghighi is the coauthor of Difference and Differential Equations with Applications in Queueing Theory (Wiley, 2013). Dimitar P. Mishev, PhD, is Professor in the Department of Mathematics at Prairie View A&M University, USA. His research interests include differential and difference equations and queueing theory. The author of numerous research papers and three books, Dr. Mishev is the coauthor of Difference and Differential Equations with Applications in Queueing Theory (Wiley, 2013).

Author : Ravi P. Agarwal
Publisher : CRC Press
Page : 1010 pages
File Size : 37,17 MB
Release : 2000-01-27
Category : Mathematics
ISBN : 9781420027020

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A study of difference equations and inequalities. This second edition offers real-world examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and

Author : David L. Jagerman
Publisher : CRC Press
Page : 246 pages
File Size : 32,87 MB
Release : 2000-08-22
Category : Mathematics
ISBN : 9780824703882

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"Presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N.E. Norlund, allowing differentation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. Discusses linear transformations that state conditions for convergence of Newton series and Norlund sums!"

Author : Walter C. Giffin
Publisher :
Page : 388 pages
File Size : 22,85 MB
Release : 1978
Category : Mathematics
ISBN :

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Elementary markov chains; Markov chain computations; Continuous time processes; Birth-death process in queues; Prototype steady-state models; Transient solutions; Time varying inputs; Imbedded markov chains; Bulk queues; Networks of queues; Special topics; Model selection and data analysis; Parameter estimation and hypothesis testing.

Author : Donald Gross
Publisher : John Wiley & Sons
Page : 610 pages
File Size : 17,39 MB
Release : 1985
Category : Mathematics
ISBN :

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A text and reference on queueing theory, covering everything from the development of standard models to applications. The focus is on real analysis of queueing systems applications and problem solving. The second edition has been expanded to include new material on statistical inference in queueing and updated to reflect changes in simulation languages and new results in statistical analysis of simulation output such as regenerative techniques. The book contains a new section on the fundamentals of Markov processes, in addition to new chapters on advanced Markov Models, queueing networks, and bounds and approximations.

Author : Dumitru Baleanu
Publisher : MDPI
Page : 348 pages
File Size : 38,22 MB
Release : 2021-01-20
Category : Computers
ISBN : 3039368702

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It is very well known that differential equations are related with the rise of physical science in the last several decades and they are used successfully for models of real-world problems in a variety of fields from several disciplines. Additionally, difference equations represent the discrete analogues of differential equations. These types of equations started to be used intensively during the last several years for their multiple applications, particularly in complex chaotic behavior. A certain class of differential and related difference equations is represented by their respective fractional forms, which have been utilized to better describe non-local phenomena appearing in all branches of science and engineering. The purpose of this book is to present some common results given by mathematicians together with physicists, engineers, as well as other scientists, for whom differential and difference equations are valuable research tools. The reported results can be used by researchers and academics working in both pure and applied differential equations.