Queueing Networks and Markov Chains

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 752 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Queueing Networks and Markov Chains by : Gunter Bolch

Download or read book Queueing Networks and Markov Chains written by Gunter Bolch and published by Wiley-Interscience. This book was released on 1998-09-14 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to address computer performance evaluation from the perspective of queueing theory and Markov chains. Queueing Networks and Markov Chains provides comprehensive coverage of the theory and application of computer performance evaluation based on queueing networks and Markov chains. Progressing from basic concepts to more complex topics, this book offers a clear and concise treatment of the state of the art in this important field. Essential reading for system designers and researchers as well as graduate students taking courses in computer performance analysis, this book contains: * A basic introduction to probability theory * An explanation of the characteristics of different types of Markov chains * Simple examples of all algorithms * Transient and steady-state solution algorithms * Well-known solution techniques for queueing systems and networks * A broad range of application studies-from client-server systems to ATM networks * Hundreds of illustrations, exercises, and more. As computer and communications systems become more complex, system designers are increasingly called upon to locate information bottlenecks or create optimal systems for specific needs. In a short period of time, performance modeling techniques have become an important tool for this type of work-and indispensable to anyone dealing with questions of reliability and quality in operations, communications, and manufacturing. Queueing Networks and Markov Chains is an up-to-date, application-driven guide to computer performance analysis. It is the only book currently available that combines theory and applications of computer performance evaluation with queueing networks and Markov chains, and offers an abundance of performance-evaluation algorithms, applications, and case studies. Entirely self-contained, Queueing Networks and Markov Chains introduces probability theory and clearly explains basic concepts before moving to advanced topics. It examines Markov chains and solution algorithms, building on results obtained in the Markov chain chapter to derive the basic relationship for queueing networks. Modeling and evaluation are discussed in the context of a variety of systems-including client-server systems, pulling systems, operating systems, ATM networks, and more. The authors present new queueing and optimization techniques for queueing networks, as well as multilevel methods for the solution of Markovian systems of equations. They show how to find an appropriate solution algorithm for a given problem using the queueing network tool PEPSY and how to determine benefits or limitations of queueing networks and Markov chains using the Markov analyzer MOSES. In addition, the book provides numerous illustrations and exercises, gives simple examples for all algorithms, and compares various methods for their computation time, storage requirement, accuracy, and applicability. Timely and comprehensive, Queueing Networks and Markov Chains is essential for practitioners and researchers working in this rapidly evolving field, as well as for graduate students in computer science departments.

Queueing Networks and Markov Chains

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0471565253
Total Pages : 901 pages
Book Rating : 4.4/5 (715 download)

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Book Synopsis Queueing Networks and Markov Chains by : Gunter Bolch

Download or read book Queueing Networks and Markov Chains written by Gunter Bolch and published by John Wiley & Sons. This book was released on 2006-04-14 with total page 901 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critically acclaimed text for computer performance analysis--now in its second edition The Second Edition of this now-classic text provides a current and thorough treatment of queueing systems, queueing networks, continuous and discrete-time Markov chains, and simulation. Thoroughly updated with new content, as well as new problems and worked examples, the text offers readers both the theory and practical guidance needed to conduct performance and reliability evaluations of computer, communication, and manufacturing systems. Starting with basic probability theory, the text sets the foundation for the more complicated topics of queueing networks and Markov chains, using applications and examples to illustrate key points. Designed to engage the reader and build practical performance analysis skills, the text features a wealth of problems that mirror actual industry challenges. New features of the Second Edition include: * Chapter examining simulation methods and applications * Performance analysis applications for wireless, Internet, J2EE, and Kanban systems * Latest material on non-Markovian and fluid stochastic Petri nets, as well as solution techniques for Markov regenerative processes * Updated discussions of new and popular performance analysis tools, including ns-2 and OPNET * New and current real-world examples, including DiffServ routers in the Internet and cellular mobile networks With the rapidly growing complexity of computer and communication systems, the need for this text, which expertly mixes theory and practice, is tremendous. Graduate and advanced undergraduate students in computer science will find the extensive use of examples and problems to be vital in mastering both the basics and the fine points of the field, while industry professionals will find the text essential for developing systems that comply with industry standards and regulations.

An Introduction to Queueing Networks

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Author :
Publisher :
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Introduction to Queueing Networks by : Jean Walrand

Download or read book An Introduction to Queueing Networks written by Jean Walrand and published by . This book was released on 1988 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Queueing Networks and Markov Chains

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0471791563
Total Pages : 896 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Queueing Networks and Markov Chains by : Gunter Bolch

Download or read book Queueing Networks and Markov Chains written by Gunter Bolch and published by John Wiley & Sons. This book was released on 2006-05-05 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critically acclaimed text for computer performance analysis--now in its second edition The Second Edition of this now-classic text provides a current and thorough treatment of queueing systems, queueing networks, continuous and discrete-time Markov chains, and simulation. Thoroughly updated with new content, as well as new problems and worked examples, the text offers readers both the theory and practical guidance needed to conduct performance and reliability evaluations of computer, communication, and manufacturing systems. Starting with basic probability theory, the text sets the foundation for the more complicated topics of queueing networks and Markov chains, using applications and examples to illustrate key points. Designed to engage the reader and build practical performance analysis skills, the text features a wealth of problems that mirror actual industry challenges. New features of the Second Edition include: * Chapter examining simulation methods and applications * Performance analysis applications for wireless, Internet, J2EE, and Kanban systems * Latest material on non-Markovian and fluid stochastic Petri nets, as well as solution techniques for Markov regenerative processes * Updated discussions of new and popular performance analysis tools, including ns-2 and OPNET * New and current real-world examples, including DiffServ routers in the Internet and cellular mobile networks With the rapidly growing complexity of computer and communication systems, the need for this text, which expertly mixes theory and practice, is tremendous. Graduate and advanced undergraduate students in computer science will find the extensive use of examples and problems to be vital in mastering both the basics and the fine points of the field, while industry professionals will find the text essential for developing systems that comply with industry standards and regulations.

Queueing Networks and Markov Chains

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (697 download)

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Book Synopsis Queueing Networks and Markov Chains by :

Download or read book Queueing Networks and Markov Chains written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Eintrag für die Universitätsbibliographie.

Queueing Theory 1

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119755417
Total Pages : 336 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Queueing Theory 1 by : Vladimir Anisimov

Download or read book Queueing Theory 1 written by Vladimir Anisimov and published by John Wiley & Sons. This book was released on 2021-03-05 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to reflect the current cutting-edge thinking and established practices in the investigation of queueing systems and networks. This first volume includes ten chapters written by experts well-known in their areas. The book studies the analysis of queues with interdependent arrival and service times, characteristics of fluid queues, modifications of retrial queueing systems and finite-source retrial queues with random breakdowns, repairs and customers' collisions. Some recent tendencies in the asymptotic analysis include the average and diffusion approximation of Markov queueing systems and networks, the diffusion and Gaussian limits of multi-channel queueing networks with rather general input flow, and the analysis of two-time-scale nonhomogenous Markov chains using the large deviations principle. The book also analyzes transient behavior of infinite-server queueing models with a mixed arrival process, the strong stability of queueing systems and networks, and applications of fast simulation methods for solving high-dimension combinatorial problems.

Foundations of Queueing Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1461562058
Total Pages : 213 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Foundations of Queueing Theory by : N.U. Prabhu

Download or read book Foundations of Queueing Theory written by N.U. Prabhu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3. 2 The Busy Period 43 3. 3 The M 1M IS System with Last Come, First Served 50 3. 4 Comparison of FCFS and LCFS 51 3. 5 Time-Reversibility of Markov Processes 52 The Output Process 54 3. 6 3. 7 The Multi-Server System in a Series 55 Problems for Solution 3. 8 56 4 ERLANGIAN QUEUEING SYSTEMS 59 4. 1 Introduction 59 4. 2 The System M I E/c/1 60 4. 3 The System E/cl Mil 67 4. 4 The System MIDI1 72 4. 5 Problems for Solution 74 PRIORITY SYSTEMS 79 5 5. 1 Description of a System with Priorities 79 Two Priority Classes with Pre-emptive Resume Discipline 5. 2 82 5. 3 Two Priority Classes with Head-of-Line Discipline 87 5. 4 Summary of Results 91 5. 5 Optimal Assignment of Priorities 91 5. 6 Problems for Solution 93 6 QUEUEING NETWORKS 97 6. 1 Introduction 97 6. 2 A Markovian Network of Queues 98 6. 3 Closed Networks 103 Open Networks: The Product Formula 104 6. 4 6. 5 Jackson Networks 111 6. 6 Examples of Closed Networks; Cyclic Queues 112 6. 7 Examples of Open Networks 114 6. 8 Problems for Solution 118 7 THE SYSTEM M/G/I; PRIORITY SYSTEMS 123 7. 1 Introduction 123 Contents ix 7. 2 The Waiting Time in MIGI1 124 7. 3 The Sojourn Time and the Queue Length 129 7. 4 The Service Interval 132 7.

Queueing Networks with Discrete Time Scale

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Publisher : Springer
ISBN 13 : 3540445927
Total Pages : 142 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Queueing Networks with Discrete Time Scale by : Hans Daduna

Download or read book Queueing Networks with Discrete Time Scale written by Hans Daduna and published by Springer. This book was released on 2003-05-15 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on classical queueing theory mainly dealing with single node queueing systems, networks of queues, or stochastic networks has been a field of intensive research over the last three decades. Whereas the first breakthrough in queueing network theory was initiated by problems and work in operations research, the second breakthrough, as well as subsequent major work in the area, was closely related to computer science, particularly to performance analysis of complex systems in computer and communication science. The text reports on recent research and development in the area. It is centered around explicit expressions for the steady behavior of discrete time queueing networks and gives a moderately positive answer to the question of whether there can be a product form calculus in discrete time. Originating from a course given by the author at Hamburg University, this book is ideally suited as a text for courses on discrete time stochastic networks.

Traffic Processes in Queueing Networks

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Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Traffic Processes in Queueing Networks by : Ralph L. Disney

Download or read book Traffic Processes in Queueing Networks written by Ralph L. Disney and published by . This book was released on 1987 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Queueing Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 144196472X
Total Pages : 800 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Queueing Networks by : Richard J. Boucherie

Download or read book Queueing Networks written by Richard J. Boucherie and published by Springer Science & Business Media. This book was released on 2010-11-25 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook aims to highlight fundamental, methodological and computational aspects of networks of queues to provide insights and to unify results that can be applied in a more general manner. The handbook is organized into five parts: Part 1 considers exact analytical results such as of product form type. Topics include characterization of product forms by physical balance concepts and simple traffic flow equations, classes of service and queue disciplines that allow a product form, a unified description of product forms for discrete time queueing networks, insights for insensitivity, and aggregation and decomposition results that allow sub networks to be aggregated into single nodes to reduce computational burden. Part 2 looks at monotonicity and comparison results such as for computational simplification by either of two approaches: stochastic monotonicity and ordering results based on the ordering of the process generators, and comparison results and explicit error bounds based on an underlying Markov reward structure leading to ordering of expectations of performance measures. Part 3 presents diffusion and fluid results. It specifically looks at the fluid regime and the diffusion regime. Both of these are illustrated through fluid limits for the analysis of system stability, diffusion approximations for multi-server systems, and a system fed by Gaussian traffic. Part 4 illustrates computational and approximate results through the classical MVA (mean value analysis) and QNA (queueing network analyzer) for computing mean and variance of performance measures such as queue lengths and sojourn times; numerical approximation of response time distributions; and approximate decomposition results for large open queueing networks. spanPart 5 enlightens selected applications as spanloss networks originating from circuit switched telecommunications applications, capacity sharing originating from packet switching in data networks, and a hospital application that is of growing present day interest. spanThe book shows that spanthe intertwined progress of theory and practicespan will remain to be most intriguing and will continue to be the basis of further developments in queueing networks.

Applied Discrete-Time Queues

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Publisher : Springer
ISBN 13 : 1493934201
Total Pages : 383 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Applied Discrete-Time Queues by : Attahiru Alfa

Download or read book Applied Discrete-Time Queues written by Attahiru Alfa and published by Springer. This book was released on 2015-12-26 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the theoretical fundamentals for modeling queues in discrete-time, and the basic procedures for developing queuing models in discrete-time. There is a focus on applications in modern telecommunication systems. It presents how most queueing models in discrete-time can be set up as discrete-time Markov chains. Techniques such as matrix-analytic methods (MAM) that can used to analyze the resulting Markov chains are included. This book covers single node systems, tandem system and queueing networks. It shows how queues with time-varying parameters can be analyzed, and illustrates numerical issues associated with computations for the discrete-time queueing systems. Optimal control of queues is also covered. Applied Discrete-Time Queues targets researchers, advanced-level students and analysts in the field of telecommunication networks. It is suitable as a reference book and can also be used as a secondary text book in computer engineering and computer science. Examples and exercises are included.

Performance Analysis of Closed Queueing Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 364232214X
Total Pages : 189 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Performance Analysis of Closed Queueing Networks by : Svenja Lagershausen

Download or read book Performance Analysis of Closed Queueing Networks written by Svenja Lagershausen and published by Springer Science & Business Media. This book was released on 2012-10-24 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the performance analysis of closed queueing networks with general processing times and finite buffer spaces. It offers a detailed introduction to the problem and a comprehensive literature review. Two approaches to the performance of closed queueing networks are presented. One is an approximate decomposition approach, while the second is the first exact approach for finite-capacity networks with general processing times. In this Markov chain approach, queueing networks are analyzed by modeling the entire system as one Markov chain. As this approach is exact, it is well-suited both as a reference quantity for approximate procedures and as extension to other queueing networks. Moreover, for the first time, the exact distribution of the time between processing starts is provided.

Fundamentals of Queueing Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 1475753012
Total Pages : 407 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Fundamentals of Queueing Networks by : Hong Chen

Download or read book Fundamentals of Queueing Networks written by Hong Chen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible book aims to collect in a single volume the essentials of stochastic networks. Stochastic networks have become widely used as a basic model of many physical systems in a diverse range of fields. Written by leading authors in the field, this book is meant to be used as a reference or supplementary reading by practitioners in operations research, computer systems, communications networks, production planning, and logistics.

Probability, Markov Chains, Queues, and Simulation

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Publisher : Princeton University Press
ISBN 13 : 0691140626
Total Pages : 778 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Probability, Markov Chains, Queues, and Simulation by : William J. Stewart

Download or read book Probability, Markov Chains, Queues, and Simulation written by William J. Stewart and published by Princeton University Press. This book was released on 2009-07-26 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling. The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduate and advanced undergraduate students taking courses in which stochastic processes play a fundamental role. The textbook is relevant to a wide variety of fields, including computer science, engineering, operations research, statistics, and mathematics. The textbook looks at the fundamentals of probability theory, from the basic concepts of set-based probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Discrete and continuous-time Markov chains are analyzed from a theoretical and computational point of view. Topics include the Chapman-Kolmogorov equations; irreducibility; the potential, fundamental, and reachability matrices; random walk problems; reversibility; renewal processes; and the numerical computation of stationary and transient distributions. The M/M/1 queue and its extensions to more general birth-death processes are analyzed in detail, as are queues with phase-type arrival and service processes. The M/G/1 and G/M/1 queues are solved using embedded Markov chains; the busy period, residual service time, and priority scheduling are treated. Open and closed queueing networks are analyzed. The final part of the book addresses the mathematical basis of simulation. Each chapter of the textbook concludes with an extensive set of exercises. An instructor's solution manual, in which all exercises are completely worked out, is also available (to professors only). Numerous examples illuminate the mathematical theories Carefully detailed explanations of mathematical derivations guarantee a valuable pedagogical approach Each chapter concludes with an extensive set of exercises

Applied Probability and Queues

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215255
Total Pages : 438 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Applied Probability and Queues by : Soeren Asmussen

Download or read book Applied Probability and Queues written by Soeren Asmussen and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a highly recommendable survey of mathematical tools and results in applied probability with special emphasis on queueing theory....The second edition at hand is a thoroughly updated and considerably expended version of the first edition.... This book and the way the various topics are balanced are a welcome addition to the literature. It is an indispensable source of information for both advanced graduate students and researchers." --MATHEMATICAL REVIEWS

Introduction to Queueing Networks

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Author :
Publisher : Wiley-Blackwell
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Queueing Networks by : Erol Gelenbe

Download or read book Introduction to Queueing Networks written by Erol Gelenbe and published by Wiley-Blackwell. This book was released on 1998-07-07 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Queueing Networks Second Edition Erol Gelenbe, Duke University, North Carolina, USA and Guy Pujolle, University of Versailles, France With new concepts emerging in recent literature, this is a timely update to a highly successful and well established first edition. Queueing networks are particularly important as digital communications continue to grow; this text provides a through and comprehensive introduction to the concept of applying mathematical queueing network theory to data communications. New additions: * G-nets, i.e. generalized (or "Gelenbe") queueing networks which allow the analysis of on-line network control functions such as traffic re-routing, * discrete time queueing networks with application to ATM networks As leading authorities in this area, the authors' focus on the practical approach where aspects of queueing theory are applied directly to communications systems and networks. Included is a series of exercises and examples at the end of each chapter as well as a fully annotated bibliography. This book is of particular interest to communications and computer engineers and is essential reading for network. managers and administrators. It will also benefit students and researchers in the area of networks, as well as Web server administrators and personal computer users. Visit Our Web Page! http://www.wiley.com/

Queueing Networks and Product Forms

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Publisher :
ISBN 13 :
Total Pages : 306 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Queueing Networks and Product Forms by : N. M. van Dijk

Download or read book Queueing Networks and Product Forms written by N. M. van Dijk and published by . This book was released on 1993-10-19 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first presentation and survey of its kind, aims to provide simple, practical insights by which both researchers and practitioners may benefit in enabling them to recognize when closed form expressions can be expected for steady state probabilities. In particular, it shows how these same insights can be used to develop simple bounds for systems that are non-solvable when practical features are taken into account.