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9781119022138 English 1119022134 Delayed and Network Queues features recent advances in queueing theory as well as new theories, real-world queueing model applications, and practical methods for solutions. Beginning with simple analytical fundamentals, the authors present the theory of queueing systems with and without delay along with applications of network queues. In addition, the book contains a careful selection of more realistic and advanced queueing models that address the current deficiencies as needed by both academicians and researchers in engineering, management, and the mathematical sciences. Discussions of queueing models such as single- and multi-server 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 are also provided. Examples and exercises from the mathematical sciences, biomathematics, engineering, physics, business, economics, and industry are provided within each chapter. Topical coverage includes: preliminary topics such as Laplace transform, difference equations, generating functions, and differential difference equations; basics of probability such as discrete random variables, continuous random variables, and random vector; stochastic processes including Markov chain and Markov processes, random walk, poisson processes, and stationary distributions; single- and multi-server queues with and without delay; and network queues with and without delay., 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 multi-server queues with and without delays along with the necessary fundamental coverage of probability and difference equations Discussions on queueing models such as single- and multi-server 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 statistics, 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, 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 , also published by Wiley. Dimitar P. Mishev, PhD, is Professor in the Department of Mathematics at Prairie View A&M University. 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 , also published by Wiley.
9781119022138 English 1119022134 Delayed and Network Queues features recent advances in queueing theory as well as new theories, real-world queueing model applications, and practical methods for solutions. Beginning with simple analytical fundamentals, the authors present the theory of queueing systems with and without delay along with applications of network queues. In addition, the book contains a careful selection of more realistic and advanced queueing models that address the current deficiencies as needed by both academicians and researchers in engineering, management, and the mathematical sciences. Discussions of queueing models such as single- and multi-server 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 are also provided. Examples and exercises from the mathematical sciences, biomathematics, engineering, physics, business, economics, and industry are provided within each chapter. Topical coverage includes: preliminary topics such as Laplace transform, difference equations, generating functions, and differential difference equations; basics of probability such as discrete random variables, continuous random variables, and random vector; stochastic processes including Markov chain and Markov processes, random walk, poisson processes, and stationary distributions; single- and multi-server queues with and without delay; and network queues with and without delay., 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 multi-server queues with and without delays along with the necessary fundamental coverage of probability and difference equations Discussions on queueing models such as single- and multi-server 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 statistics, 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, 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 , also published by Wiley. Dimitar P. Mishev, PhD, is Professor in the Department of Mathematics at Prairie View A&M University. 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 , also published by Wiley.