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Stochastic Dynamic Programming and the Control of Queueing Systems

Author: Linn I. Sennott

Publisher: John Wiley & Sons

Published: 2009-09-25

Total Pages: 355

ISBN-13: 0470317876

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A path-breaking account of Markov decision processes-theory and computation This book's clear presentation of theory, numerous chapter-end problems, and development of a unified method for the computation of optimal policies in both discrete and continuous time make it an excellent course text for graduate students and advanced undergraduates. Its comprehensive coverage of important recent advances in stochastic dynamic programming makes it a valuable working resource for operations research professionals, management scientists, engineers, and others. Stochastic Dynamic Programming and the Control of Queueing Systems presents the theory of optimization under the finite horizon, infinite horizon discounted, and average cost criteria. It then shows how optimal rules of operation (policies) for each criterion may be numerically determined. A great wealth of examples from the application area of the control of queueing systems is presented. Nine numerical programs for the computation of optimal policies are fully explicated. The Pascal source code for the programs is available for viewing and downloading on the Wiley Web site at www.wiley.com/products/subject/mathematics. The site contains a link to the author's own Web site and is also a place where readers may discuss developments on the programs or other aspects of the material. The source files are also available via ftp at ftp://ftp.wiley.com/public/sci_tech_med/stochastic Stochastic Dynamic Programming and the Control of Queueing Systems features: * Path-breaking advances in Markov decision process techniques, brought together for the first time in book form * A theorem/proof format (proofs may be omitted without loss of continuity) * Development of a unified method for the computation of optimal rules of system operation * Numerous examples drawn mainly from the control of queueing systems * Detailed discussions of nine numerical programs * Helpful chapter-end problems * Appendices with complete treatment of background material

Book Synopsis Stochastic Dynamic Programming and the Control of Queueing Systems by : Linn I. Sennott

Download or read book Stochastic Dynamic Programming and the Control of Queueing Systems written by Linn I. Sennott and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: A path-breaking account of Markov decision processes-theory and computation This book's clear presentation of theory, numerous chapter-end problems, and development of a unified method for the computation of optimal policies in both discrete and continuous time make it an excellent course text for graduate students and advanced undergraduates. Its comprehensive coverage of important recent advances in stochastic dynamic programming makes it a valuable working resource for operations research professionals, management scientists, engineers, and others. Stochastic Dynamic Programming and the Control of Queueing Systems presents the theory of optimization under the finite horizon, infinite horizon discounted, and average cost criteria. It then shows how optimal rules of operation (policies) for each criterion may be numerically determined. A great wealth of examples from the application area of the control of queueing systems is presented. Nine numerical programs for the computation of optimal policies are fully explicated. The Pascal source code for the programs is available for viewing and downloading on the Wiley Web site at www.wiley.com/products/subject/mathematics. The site contains a link to the author's own Web site and is also a place where readers may discuss developments on the programs or other aspects of the material. The source files are also available via ftp at ftp://ftp.wiley.com/public/sci_tech_med/stochastic Stochastic Dynamic Programming and the Control of Queueing Systems features: * Path-breaking advances in Markov decision process techniques, brought together for the first time in book form * A theorem/proof format (proofs may be omitted without loss of continuity) * Development of a unified method for the computation of optimal rules of system operation * Numerous examples drawn mainly from the control of queueing systems * Detailed discussions of nine numerical programs * Helpful chapter-end problems * Appendices with complete treatment of background material

Controlled Queueing Systems

Author: Mikhail Yu. Kitaev

Publisher: CRC Press

Published: 1995-08-30

Total Pages: 312

ISBN-13: 9780849328626

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This is the first book completely devoted to controlled queueing systems. The book gathers the newest results of the theory of Markov decision processes related to queueing models and demonstrates their applications to main types of control in queueing systems, including control of arrivals, control of service mechanism, and control of service discipline. Emphasis is placed on conditions providing further "good" structural properties of Markov optimal strategies such as monotonicity, threshold or hysteretic character, and priority. Each chapter is followed by exercises, most of which allow the reader to complete technical fragments of proofs. The text assumes the reader is familiar with standard courses of analysis, probability theory, and queueing theory.

Book Synopsis Controlled Queueing Systems by : Mikhail Yu. Kitaev

Download or read book Controlled Queueing Systems written by Mikhail Yu. Kitaev and published by CRC Press. This book was released on 1995-08-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book completely devoted to controlled queueing systems. The book gathers the newest results of the theory of Markov decision processes related to queueing models and demonstrates their applications to main types of control in queueing systems, including control of arrivals, control of service mechanism, and control of service discipline. Emphasis is placed on conditions providing further "good" structural properties of Markov optimal strategies such as monotonicity, threshold or hysteretic character, and priority. Each chapter is followed by exercises, most of which allow the reader to complete technical fragments of proofs. The text assumes the reader is familiar with standard courses of analysis, probability theory, and queueing theory.

Estimation and Control in Stochastic Dynamic Programming with Applications to Queuing Models

Author: Manfred Schäl

Publisher:

Published: 1981

Total Pages: 42

ISBN-13:

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Book Synopsis Estimation and Control in Stochastic Dynamic Programming with Applications to Queuing Models by : Manfred Schäl

Download or read book Estimation and Control in Stochastic Dynamic Programming with Applications to Queuing Models written by Manfred Schäl and published by . This book was released on 1981 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization, Control, and Applications of Stochastic Systems

Author: Daniel Hernández-Hernández

Publisher: Springer Science & Business Media

Published: 2012-08-15

Total Pages: 331

ISBN-13: 0817683372

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This volume provides a general overview of discrete- and continuous-time Markov control processes and stochastic games, along with a look at the range of applications of stochastic control and some of its recent theoretical developments. These topics include various aspects of dynamic programming, approximation algorithms, and infinite-dimensional linear programming. In all, the work comprises 18 carefully selected papers written by experts in their respective fields. Optimization, Control, and Applications of Stochastic Systems will be a valuable resource for all practitioners, researchers, and professionals in applied mathematics and operations research who work in the areas of stochastic control, mathematical finance, queueing theory, and inventory systems. It may also serve as a supplemental text for graduate courses in optimal control and dynamic games.

Book Synopsis Optimization, Control, and Applications of Stochastic Systems by : Daniel Hernández-Hernández

Download or read book Optimization, Control, and Applications of Stochastic Systems written by Daniel Hernández-Hernández and published by Springer Science & Business Media. This book was released on 2012-08-15 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a general overview of discrete- and continuous-time Markov control processes and stochastic games, along with a look at the range of applications of stochastic control and some of its recent theoretical developments. These topics include various aspects of dynamic programming, approximation algorithms, and infinite-dimensional linear programming. In all, the work comprises 18 carefully selected papers written by experts in their respective fields. Optimization, Control, and Applications of Stochastic Systems will be a valuable resource for all practitioners, researchers, and professionals in applied mathematics and operations research who work in the areas of stochastic control, mathematical finance, queueing theory, and inventory systems. It may also serve as a supplemental text for graduate courses in optimal control and dynamic games.

Structural Results for the Control of Queueing Systems Using Event-based Dynamic Programming

Author: Gerhardus Martinus Koole

Publisher:

Published: 1996

Total Pages: 12

ISBN-13:

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Book Synopsis Structural Results for the Control of Queueing Systems Using Event-based Dynamic Programming by : Gerhardus Martinus Koole

Download or read book Structural Results for the Control of Queueing Systems Using Event-based Dynamic Programming written by Gerhardus Martinus Koole and published by . This book was released on 1996 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization Over Time

Author: Peter Whittle

Publisher:

Published: 1982

Total Pages: 336

ISBN-13:

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Book Synopsis Optimization Over Time by : Peter Whittle

Download or read book Optimization Over Time written by Peter Whittle and published by . This book was released on 1982 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Individual Optimality and Its Application in the Control of Queueing Systems

Author: Jung-hyun Kim

Publisher:

Published: 2008

Total Pages: 258

ISBN-13:

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Book Synopsis Individual Optimality and Its Application in the Control of Queueing Systems by : Jung-hyun Kim

Download or read book Individual Optimality and Its Application in the Control of Queueing Systems written by Jung-hyun Kim and published by . This book was released on 2008 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization, Control, and Applications of Stochastic Systems

Author: Daniel Hernández-Hernández

Publisher: Birkhäuser

Published: 2012-08-14

Total Pages: 309

ISBN-13: 9780817683368

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Book Synopsis Optimization, Control, and Applications of Stochastic Systems by : Daniel Hernández-Hernández

Download or read book Optimization, Control, and Applications of Stochastic Systems written by Daniel Hernández-Hernández and published by Birkhäuser. This book was released on 2012-08-14 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a general overview of discrete- and continuous-time Markov control processes and stochastic games, along with a look at the range of applications of stochastic control and some of its recent theoretical developments. These topics include various aspects of dynamic programming, approximation algorithms, and infinite-dimensional linear programming. In all, the work comprises 18 carefully selected papers written by experts in their respective fields. Optimization, Control, and Applications of Stochastic Systems will be a valuable resource for all practitioners, researchers, and professionals in applied mathematics and operations research who work in the areas of stochastic control, mathematical finance, queueing theory, and inventory systems. It may also serve as a supplemental text for graduate courses in optimal control and dynamic games.

Stochastic Network Optimization with Application to Communication and Queueing Systems

Author: Michael J. Neely

Publisher: Morgan & Claypool Publishers

Published: 2010

Total Pages: 212

ISBN-13: 160845455X

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This text presents a modern theory of analysis, control, and optimization for dynamic networks. Mathematical techniques of Lyapunov drift and Lyapunov optimization are developed and shown to enable constrained optimization of time averages in general stochastic systems. The focus is on communication and queueing systems, including wireless networks with time-varying channels, mobility, and randomly arriving traffic. A simple drift-plus-penalty framework is used to optimize time averages such as throughput, throughput-utility, power, and distortion. Explicit performance-delay tradeoffs are provided to illustrate the cost of approaching optimality. This theory is also applicable to problems in operations research and economics, where energy-efficient and profit-maximizing decisions must be made without knowing the future. Topics in the text include the following: - Queue stability theory - Backpressure, max-weight, and virtual queue methods - Primal-dual methods for non-convex stochastic utility maximization - Universal scheduling theory for arbitrary sample paths - Approximate and randomized scheduling theory - Optimization of renewal systems and Markov decision systems Detailed examples and numerous problem set questions are provided to reinforce the main concepts. Table of Contents: Introduction / Introduction to Queues / Dynamic Scheduling Example / Optimizing Time Averages / Optimizing Functions of Time Averages / Approximate Scheduling / Optimization of Renewal Systems / Conclusions

Book Synopsis Stochastic Network Optimization with Application to Communication and Queueing Systems by : Michael J. Neely

Download or read book Stochastic Network Optimization with Application to Communication and Queueing Systems written by Michael J. Neely and published by Morgan & Claypool Publishers. This book was released on 2010 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text presents a modern theory of analysis, control, and optimization for dynamic networks. Mathematical techniques of Lyapunov drift and Lyapunov optimization are developed and shown to enable constrained optimization of time averages in general stochastic systems. The focus is on communication and queueing systems, including wireless networks with time-varying channels, mobility, and randomly arriving traffic. A simple drift-plus-penalty framework is used to optimize time averages such as throughput, throughput-utility, power, and distortion. Explicit performance-delay tradeoffs are provided to illustrate the cost of approaching optimality. This theory is also applicable to problems in operations research and economics, where energy-efficient and profit-maximizing decisions must be made without knowing the future. Topics in the text include the following: - Queue stability theory - Backpressure, max-weight, and virtual queue methods - Primal-dual methods for non-convex stochastic utility maximization - Universal scheduling theory for arbitrary sample paths - Approximate and randomized scheduling theory - Optimization of renewal systems and Markov decision systems Detailed examples and numerous problem set questions are provided to reinforce the main concepts. Table of Contents: Introduction / Introduction to Queues / Dynamic Scheduling Example / Optimizing Time Averages / Optimizing Functions of Time Averages / Approximate Scheduling / Optimization of Renewal Systems / Conclusions

THE OPTIMAL CONTROL OF QUEUES, WITH APPLICATIONS TO COMPUTER SYSTEMS

Author: Dennis W. Fife

Publisher:

Published: 1965

Total Pages: 294

ISBN-13:

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Book Synopsis THE OPTIMAL CONTROL OF QUEUES, WITH APPLICATIONS TO COMPUTER SYSTEMS by : Dennis W. Fife

Download or read book THE OPTIMAL CONTROL OF QUEUES, WITH APPLICATIONS TO COMPUTER SYSTEMS written by Dennis W. Fife and published by . This book was released on 1965 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: