Difference Equations with Applications to Queues

Difference Equations with Applications to Queues PDF

Author: David L. Jagerman

Publisher: CRC Press

Published: 2000-08-22

Total Pages: 277

ISBN-13: 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!"

Difference Equations with Applications to Queues

Difference Equations with Applications to Queues PDF

Author: David L. Jagerman

Publisher: CRC Press

Published: 2000-08-22

Total Pages: 280

ISBN-13: 9780203909737

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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!"

Difference and Differential Equations with Applications in Queueing Theory

Difference and Differential Equations with Applications in Queueing Theory PDF

Author: Aliakbar Montazer Haghighi

Publisher: John Wiley & Sons

Published: 2013-05-28

Total Pages: 418

ISBN-13: 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.

Delayed and Network Queues

Delayed and Network Queues PDF

Author: Aliakbar Montazer Haghighi

Publisher: John Wiley & Sons

Published: 2016-10-03

Total Pages: 416

ISBN-13: 1119022134

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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).

Queueing

Queueing PDF

Author: Walter C. Giffin

Publisher:

Published: 1978

Total Pages: 386

ISBN-13:

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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.

A Difference Equation Approach to the Optimal Control of a Multiclass Queue with Discounted Costs

A Difference Equation Approach to the Optimal Control of a Multiclass Queue with Discounted Costs PDF

Author: F. C. Reed

Publisher:

Published: 1975

Total Pages: 18

ISBN-13:

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This report considers the problem of dynamically selecting one of a finite number of customer classes to serve so that the total expected discounted cost over an infinite horizon is minimized. Decisions are allowed at the time of service completion, or if the server is idle, at the time of customer arrival. It is assumed that customers arrive according to independent Poisson processes with different arrival rates for the various customer classes. Service times are independently distributed and identically distributed for customers of a given class. The cost structure is linear and includes class-dependent holding costs, service costs, and rewards. Difference equations are used to derive a closed form expression for total expected discounted cost given the process begins with an arbitrary number of customers in each customer class in the queue and a non-preemptive priority discipline is used.

Applications of Queueing Theory

Applications of Queueing Theory PDF

Author: Gordon Frank Newell

Publisher:

Published: 1971

Total Pages: 170

ISBN-13:

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Fluid approximations; Simple queueing systems; Stochastic models; Equilibrium distributions; Diffusion approximations; Time-dependent queues; Neglected subjects.

Analysis of Queues

Analysis of Queues PDF

Author: Natarajan Gautam

Publisher: CRC Press

Published: 2012-04-26

Total Pages: 788

ISBN-13: 1439806594

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Analysis of queues is used in a variety of domains including call centers, web servers, internet routers, manufacturing and production, telecommunications, transportation, hospitals and clinics, restaurants, and theme parks. Combining elements of classical queueing theory with some of the recent advances in studying stochastic networks, this book covers a broad range of applications. It contains numerous real-world examples and industrial applications in all chapters. The text is suitable for graduate courses, as well as researchers, consultants and analysts that work on performance modeling or use queueing models as analysis tools.

Difference and Differential Equations with Applications in Queueing Theory

Difference and Differential Equations with Applications in Queueing Theory PDF

Author: Aliakbar Montazer Haghighi

Publisher: John Wiley & Sons

Published: 2013-07-10

Total Pages: 419

ISBN-13: 1118393244

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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.

Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative

Partial Differential Equations And Systems Not Solvable With Respect To The Highest-Order Derivative PDF

Author: Gennadii V. Demidenko

Publisher: CRC Press

Published: 2003-04-25

Total Pages: 520

ISBN-13: 9780203911433

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Offering in-depth analyses of current theories and approaches related to Sobolev-type equations and systems, this reference is the first to introduce a classification of equations and systems not solvable with respect to the highest order derivative, and it studies boundary value problems for these classes of equations. Presenting 2200 equations, t