Discrete Optimization I

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Discrete Optimization Algorithms

Author : Maciej M. Sys?o
Publisher : Courier Corporation
ISBN 13 : 0486453537
Total Pages : 564 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Discrete Optimization Algorithms by : Maciej M. Sys?o

Download or read book Discrete Optimization Algorithms written by Maciej M. Sys?o and published by Courier Corporation. This book was released on 2006-01-01 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rich in publications, the well-established field of discrete optimization nevertheless features relatively few books with ready-to-use computer programs. This book, geared toward upper-level undergraduates and graduate students, addresses that need. In addition, it offers a look at the programs' derivation and performance characteristics. Subjects include linear and integer programming, packing and covering, optimization on networks, and coloring and scheduling. A familiarity with design, analysis, and use of computer algorithms is assumed, along with knowledge of programming in Pascal. The book can be used as a supporting text in discrete optimization courses or as a software handbook, with twenty-six programs that execute the most common algorithms in each topic area. Each chapter is self-contained, allowing readers to browse at will.

Discrete Optimization

Author : R. Gary Parker
Publisher : Elsevier
ISBN 13 : 1483294803
Total Pages : 485 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Discrete Optimization by : R. Gary Parker

Download or read book Discrete Optimization written by R. Gary Parker and published by Elsevier. This book was released on 2014-06-28 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the fundamental issues and algorithmic strategies emerging as the core of the discipline of discrete optimization in a comprehensive and rigorous fashion. Following an introductory chapter on computational complexity, the basic algorithmic results for the two major models of polynomial algorithms are introduced--models using matroids and linear programming. Further chapters treat the major non-polynomial algorithms: branch-and-bound and cutting planes. The text concludes with a chapter on heuristic algorithms.Several appendixes are included which review the fundamental ideas of linear programming, graph theory, and combinatorics--prerequisites for readers of the text. Numerous exercises are included at the end of each chapter.

Handbook on Modelling for Discrete Optimization

Author : Gautam M. Appa
Publisher : Springer Science & Business Media
ISBN 13 : 0387329420
Total Pages : 443 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Handbook on Modelling for Discrete Optimization by : Gautam M. Appa

Download or read book Handbook on Modelling for Discrete Optimization written by Gautam M. Appa and published by Springer Science & Business Media. This book was released on 2006-08-18 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to demonstrate and detail the pervasive nature of Discrete Optimization. The handbook couples the difficult, critical-thinking aspects of mathematical modeling with the hot area of discrete optimization. It is done with an academic treatment outlining the state-of-the-art for researchers across the domains of the Computer Science, Math Programming, Applied Mathematics, Engineering, and Operations Research. The book utilizes the tools of mathematical modeling, optimization, and integer programming to solve a broad range of modern problems.

Robust Discrete Optimization and Its Applications

Author : Panos Kouvelis
Publisher : Springer Science & Business Media
ISBN 13 : 1475726201
Total Pages : 373 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Robust Discrete Optimization and Its Applications by : Panos Kouvelis

Download or read book Robust Discrete Optimization and Its Applications written by Panos Kouvelis and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with decision making in environments of significant data un certainty, with particular emphasis on operations and production management applications. For such environments, we suggest the use of the robustness ap proach to decision making, which assumes inadequate knowledge of the decision maker about the random state of nature and develops a decision that hedges against the worst contingency that may arise. The main motivating factors for a decision maker to use the robustness approach are: • It does not ignore uncertainty and takes a proactive step in response to the fact that forecasted values of uncertain parameters will not occur in most environments; • It applies to decisions of unique, non-repetitive nature, which are common in many fast and dynamically changing environments; • It accounts for the risk averse nature of decision makers; and • It recognizes that even though decision environments are fraught with data uncertainties, decisions are evaluated ex post with the realized data. For all of the above reasons, robust decisions are dear to the heart of opera tional decision makers. This book takes a giant first step in presenting decision support tools and solution methods for generating robust decisions in a variety of interesting application environments. Robust Discrete Optimization is a comprehensive mathematical programming framework for robust decision making.

Discrete Optimization I

Author :
Publisher : Elsevier
ISBN 13 : 0080867677
Total Pages : 461 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Discrete Optimization I by :

Download or read book Discrete Optimization I written by and published by Elsevier. This book was released on 2000-04-01 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Optimization I

Algebraic and Geometric Ideas in the Theory of Discrete Optimization

Author : Jesus A. De Loera
Publisher : SIAM
ISBN 13 : 1611972434
Total Pages : 320 pages
Book Rating : 4.6/5 (119 download)

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Book Synopsis Algebraic and Geometric Ideas in the Theory of Discrete Optimization by : Jesus A. De Loera

Download or read book Algebraic and Geometric Ideas in the Theory of Discrete Optimization written by Jesus A. De Loera and published by SIAM. This book was released on 2013-01-31 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, many new techniques have emerged in the mathematical theory of discrete optimization that have proven to be effective in solving a number of hard problems. This book presents these recent advances, particularly those that arise from algebraic geometry, commutative algebra, convex and discrete geometry, generating functions, and other tools normally considered outside of the standard curriculum in optimization. These new techniques, all of which are presented with minimal prerequisites, provide a transition from linear to nonlinear discrete optimization. This book can be used as a textbook for advanced undergraduates or first-year graduate students in mathematics, computer science or operations research. It is also appropriate for mathematicians, engineers, and scientists engaged in computation who wish to gain a deeper understanding of how and why algorithms work.

Discrete Optimization

Author : E. Boros
Publisher : Elsevier
ISBN 13 : 008093028X
Total Pages : 587 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Discrete Optimization by : E. Boros

Download or read book Discrete Optimization written by E. Boros and published by Elsevier. This book was released on 2003-03-19 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most frequently occurring types of optimization problems involves decision variables which have to take integer values. From a practical point of view, such problems occur in countless areas of management, engineering, administration, etc., and include such problems as location of plants or warehouses, scheduling of aircraft, cutting raw materials to prescribed dimensions, design of computer chips, increasing reliability or capacity of networks, etc. This is the class of problems known in the professional literature as "discrete optimization" problems. While these problems are of enormous applicability, they present many challenges from a computational point of view. This volume is an update on the impressive progress achieved by mathematicians, operations researchers, and computer scientists in solving discrete optimization problems of very large sizes. The surveys in this volume present a comprehensive overview of the state of the art in discrete optimization and are written by the most prominent researchers from all over the world. This volume describes the tremendous progress in discrete optimization achieved in the last 20 years since the publication of Discrete Optimization '77, Annals of Discrete Mathematics, volumes 4 and 5, 1979 (Elsevier). It contains surveys of the state of the art written by the most prominent researchers in the field from all over the world, and covers topics like neighborhood search techniques, lift and project for mixed 0-1 programming, pseudo-Boolean optimization, scheduling and assignment problems, production planning, location, bin packing, cutting planes, vehicle routing, and applications to graph theory, mechanics, chip design, etc. Key features: • state of the art surveys • comprehensiveness • prominent authors • theoretical, computational and applied aspects. This book is a reprint of Discrete Applied Mathematics Volume 23, Numbers 1-3

Discrete Optimization with Interval Data

Author : Adam Kasperski
Publisher : Springer Science & Business Media
ISBN 13 : 3540784837
Total Pages : 225 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Discrete Optimization with Interval Data by : Adam Kasperski

Download or read book Discrete Optimization with Interval Data written by Adam Kasperski and published by Springer Science & Business Media. This book was released on 2008-06-04 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operations research often solves deterministic optimization problems based on elegantand conciserepresentationswhereall parametersarepreciselyknown. In the face of uncertainty, probability theory is the traditional tool to be appealed for, and stochastic optimization is actually a signi?cant sub-area in operations research. However, the systematic use of prescribed probability distributions so as to cope with imperfect data is partially unsatisfactory. First, going from a deterministic to a stochastic formulation, a problem may becomeintractable. Agoodexampleiswhengoingfromdeterministictostoch- tic scheduling problems like PERT. From the inception of the PERT method in the 1950’s, it was acknowledged that data concerning activity duration times is generally not perfectly known and the study of stochastic PERT was launched quite early. Even if the power of today’s computers enables the stochastic PERT to be addressed to a large extent, still its solutions often require simplifying assumptions of some kind. Another di?culty is that stochastic optimization problems produce solutions in the average. For instance, the criterion to be maximized is more often than not expected utility. This is not always a meaningful strategy. In the case when the underlying process is not repeated a lot of times, let alone being one-shot, it is not clear if this criterion is realistic, in particular if probability distributions are subjective. Expected utility was proposed as a rational criterion from ?rst principles by Savage. In his view, the subjective probability distribution was - sically an artefact useful to implement a certain ordering of solutions.

Nonlinear Discrete Optimization

Author : Shmuel Onn
Publisher : European Mathematical Society
ISBN 13 : 9783037190937
Total Pages : 0 pages
Book Rating : 4.1/5 (99 download)

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Book Synopsis Nonlinear Discrete Optimization by : Shmuel Onn

Download or read book Nonlinear Discrete Optimization written by Shmuel Onn and published by European Mathematical Society. This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph develops an algorithmic theory of nonlinear discrete optimization. It introduces a simple and useful setup, which enables the polynomial time solution of broad fundamental classes of nonlinear combinatorial optimization and integer programming problems in variable dimension. An important part of this theory is enhanced by recent developments in the algebra of Graver bases. The power of the theory is demonstrated by deriving the first polynomial time algorithms in a variety of application areas within operations research and statistics, including vector partitioning, matroid optimization, experimental design, multicommodity flows, multi-index transportation and privacy in statistical databases. This monograph is intended for graduate students and researchers. It is accessible to anyone with standard undergraduate knowledge and mathematical maturity.

Integer and Combinatorial Optimization

Author : Laurence A. Wolsey
Publisher : John Wiley & Sons
ISBN 13 : 1118626869
Total Pages : 782 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Integer and Combinatorial Optimization by : Laurence A. Wolsey

Download or read book Integer and Combinatorial Optimization written by Laurence A. Wolsey and published by John Wiley & Sons. This book was released on 2014-08-28 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rave reviews for INTEGER AND COMBINATORIAL OPTIMIZATION "This book provides an excellent introduction and survey of traditional fields of combinatorial optimization . . . It is indeed one of the best and most complete texts on combinatorial optimization . . . available. [And] with more than 700 entries, [it] has quite an exhaustive reference list."-Optima "A unifying approach to optimization problems is to formulate them like linear programming problems, while restricting some or all of the variables to the integers. This book is an encyclopedic resource for such formulations, as well as for understanding the structure of and solving the resulting integer programming problems."-Computing Reviews "[This book] can serve as a basis for various graduate courses on discrete optimization as well as a reference book for researchers and practitioners."-Mathematical Reviews "This comprehensive and wide-ranging book will undoubtedly become a standard reference book for all those in the field of combinatorial optimization."-Bulletin of the London Mathematical Society "This text should be required reading for anybody who intends to do research in this area or even just to keep abreast of developments."-Times Higher Education Supplement, London Also of interest . . . INTEGER PROGRAMMING Laurence A. Wolsey Comprehensive and self-contained, this intermediate-level guide to integer programming provides readers with clear, up-to-date explanations on why some problems are difficult to solve, how techniques can be reformulated to give better results, and how mixed integer programming systems can be used more effectively. 1998 (0-471-28366-5) 260 pp.

Discrete H∞ Optimization

Author : Charles K. Chui
Publisher : Springer Science & Business Media
ISBN 13 : 3642591450
Total Pages : 271 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Discrete H∞ Optimization by : Charles K. Chui

Download or read book Discrete H∞ Optimization written by Charles K. Chui and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete H¿ Optimization is concerned with the study of H¿ optimization for digital signal processing and discrete-time control systems. The first three chapters present the basic theory and standard methods in digital filtering and systems from the frequency-domain approach, followed by a discussion of the general theory of approximation in Hardy spaces. AAK theory is introduced, first for finite-rank operators and then more generally, before being extended to the multi-input/multi-output setting. This mathematically rigorous book is self-contained and suitable for self-study. The advanced mathematical results derived here are applicable to digital control systems and digital filtering.

Discrete Geometry and Optimization

Author : Károly Bezdek
Publisher : Springer Science & Business Media
ISBN 13 : 3319002007
Total Pages : 341 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Discrete Geometry and Optimization by : Károly Bezdek

Download or read book Discrete Geometry and Optimization written by Károly Bezdek and published by Springer Science & Business Media. This book was released on 2013-07-09 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, leading to a rich interplay between these subjects. The purpose of the Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, held in September 2011 at the Fields Institute, Toronto, was to further stimulate the interaction between geometers and optimizers. This volume reflects the interplay between these areas. The inspiring Fejes Tóth Lecture Series, delivered by Thomas Hales of the University of Pittsburgh, exemplified this approach. While these fields have recently witnessed a lot of activity and successes, many questions remain open. For example, Fields medalist Stephen Smale stated that the question of the existence of a strongly polynomial time algorithm for linear optimization is one of the most important unsolved problems at the beginning of the 21st century. The broad range of topics covered in this volume demonstrates the many recent and fruitful connections between different approaches, and features novel results and state-of-the-art surveys as well as open problems.

Discrete Optimization I

Author : Advanced Research Institute on Discrete Optimization and Systems Applications
Publisher :
ISBN 13 :
Total Pages : 299 pages
Book Rating : 4.:/5 (658 download)

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Book Synopsis Discrete Optimization I by : Advanced Research Institute on Discrete Optimization and Systems Applications

Download or read book Discrete Optimization I written by Advanced Research Institute on Discrete Optimization and Systems Applications and published by . This book was released on 1979 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Novel Approaches to Hard Discrete Optimization

Author : Panos M. Pardalos
Publisher : American Mathematical Soc.
ISBN 13 : 9780821885918
Total Pages : 196 pages
Book Rating : 4.8/5 (859 download)

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Book Synopsis Novel Approaches to Hard Discrete Optimization by : Panos M. Pardalos

Download or read book Novel Approaches to Hard Discrete Optimization written by Panos M. Pardalos and published by American Mathematical Soc.. This book was released on with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade, many novel approaches have been considered for dealing with computationally difficult discrete optimization problems. Such approaches include interior point methods, semidefinite programming techniques, and global optimization. More efficient computational algorithms have been developed and larger problem instances of hard discrete problems have been solved. This progress is due in part to these novel approaches, but also to new computing facilities and massive parallelism. This volume contains the papers presented at the workshop on ''Novel Approaches to Hard Discrete Optimization''. The articles cover a spectrum of issues regarding computationally hard discrete problems.

Bayesian Heuristic Approach to Discrete and Global Optimization

Author : Jonas Mockus
Publisher : Springer Science & Business Media
ISBN 13 : 1475726279
Total Pages : 394 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Bayesian Heuristic Approach to Discrete and Global Optimization by : Jonas Mockus

Download or read book Bayesian Heuristic Approach to Discrete and Global Optimization written by Jonas Mockus and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bayesian decision theory is known to provide an effective framework for the practical solution of discrete and nonconvex optimization problems. This book is the first to demonstrate that this framework is also well suited for the exploitation of heuristic methods in the solution of such problems, especially those of large scale for which exact optimization approaches can be prohibitively costly. The book covers all aspects ranging from the formal presentation of the Bayesian Approach, to its extension to the Bayesian Heuristic Strategy, and its utilization within the informal, interactive Dynamic Visualization strategy. The developed framework is applied in forecasting, in neural network optimization, and in a large number of discrete and continuous optimization problems. Specific application areas which are discussed include scheduling and visualization problems in chemical engineering, manufacturing process control, and epidemiology. Computational results and comparisons with a broad range of test examples are presented. The software required for implementation of the Bayesian Heuristic Approach is included. Although some knowledge of mathematical statistics is necessary in order to fathom the theoretical aspects of the development, no specialized mathematical knowledge is required to understand the application of the approach or to utilize the software which is provided. Audience: The book is of interest to both researchers in operations research, systems engineering, and optimization methods, as well as applications specialists concerned with the solution of large scale discrete and/or nonconvex optimization problems in a broad range of engineering and technological fields. It may be used as supplementary material for graduate level courses.

Novel Approaches to Hard Discrete Optimization

Author : Panos M. Pardalos
Publisher : American Mathematical Soc.
ISBN 13 : 0821832484
Total Pages : 194 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Novel Approaches to Hard Discrete Optimization by : Panos M. Pardalos

Download or read book Novel Approaches to Hard Discrete Optimization written by Panos M. Pardalos and published by American Mathematical Soc.. This book was released on 2003 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decade, many novel approaches have been considered for dealing with computationally difficult discrete optimization problems. Such approaches include interior point methods, semidefinite programming techniques, and global optimization. More efficient computational algorithms have been developed and larger problem instances of hard discrete problems have been solved. This progress is due in part to these novel approaches, but also to new computing facilities and massive parallelism. This volume contains the papers presented at the workshop on ``Novel Approaches to Hard Discrete Optimization''. The articles cover a spectrum of issues regarding computationally hard discrete problems.

Graphs, Algorithms, and Optimization

Author : William Kocay
Publisher : CRC Press
ISBN 13 : 135198912X
Total Pages : 504 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Graphs, Algorithms, and Optimization by : William Kocay

Download or read book Graphs, Algorithms, and Optimization written by William Kocay and published by CRC Press. This book was released on 2017-09-20 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory offers a rich source of problems and techniques for programming and data structure development, as well as for understanding computing theory, including NP-Completeness and polynomial reduction. A comprehensive text, Graphs, Algorithms, and Optimization features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. The book covers major areas of graph theory including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions on linear programming that emphasize graph theory problems useful in mathematics and computer science. Many algorithms are provided along with the data structure needed to program the algorithms efficiently. The book also provides coverage on algorithm complexity and efficiency, NP-completeness, linear optimization, and linear programming and its relationship to graph algorithms. Written in an accessible and informal style, this work covers nearly all areas of graph theory. Graphs, Algorithms, and Optimization provides a modern discussion of graph theory applicable to mathematics, computer science, and crossover applications.