Mathematical Programming Solver Based On Local Search

Author : Frédéric Gardi
Publisher : John Wiley & Sons
ISBN 13 : 1118966481
Total Pages : 76 pages
Book Rating : 4.88/5 ( download)

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Download or read book Mathematical Programming Solver Based on Local Search written by Frédéric Gardi and published by John Wiley & Sons. This book was released on 2014-07-09 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers local search for combinatorial optimization and its extension to mixed-variable optimization. Although not yet understood from the theoretical point of view, local search is the paradigm of choice for tackling large-scale real-life optimization problems. Today's end-users demand interactivity with decision support systems. For optimization software, this means obtaining good-quality solutions quickly. Fast iterative improvement methods, like local search, are suited to satisfying such needs. Here the authors show local search in a new light, in particular presenting a new kind of mathematical programming solver, namely LocalSolver, based on neighborhood search. First, an iconoclast methodology is presented to design and engineer local search algorithms. The authors' concern regarding industrializing local search approaches is of particular interest for practitioners. This methodology is applied to solve two industrial problems with high economic stakes. Software based on local search induces extra costs in development and maintenance in comparison with the direct use of mixed-integer linear programming solvers. The authors then move on to present the LocalSolver project whose goal is to offer the power of local search through a model-and-run solver for large-scale 0-1 nonlinear programming. They conclude by presenting their ongoing and future work on LocalSolver toward a full mathematical programming solver based on local search.

Author : Pascal Van Hentenryck
Publisher : MIT Press (MA)
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.49/5 ( download)

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Download or read book Constraint-based Local Search written by Pascal Van Hentenryck and published by MIT Press (MA). This book was released on 2005 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ubiquity of combinatorial optimization problems in our society is illustrated by the novel application areas for optimization technology, which range from supply chain management to sports tournament scheduling. Over the last two decades, constraint programming has emerged as a fundamental methodology to solve a variety of combinatorial problems, and rich constraint programming languages have been developed for expressing and combining constraints and specifying search procedures at a high level of abstraction. Local search approaches to combinatorial optimization are able to isolate optimal or near-optimal solutions within reasonable time constraints. This book introduces a method for solving combinatorial optimization problems that combines constraint programming and local search, using constraints to describe and control local search, and a programming language, COMET, that supports both modeling and search abstractions in the spirit of constraint programming. After an overview of local search including neighborhoods, heuristics, and metaheuristics, the book presents the architecture and modeling and search components of constraint-based local search and describes how constraint-based local search is supported in COMET. The book describes a variety of applications, arranged by meta-heuristics. It presents scheduling applications, along with the background necessary to understand these challenging problems. The book also includes a number of satisfiability problems, illustrating the ability of constraint-based local search approaches to cope with both satisfiability and optimization problems in a uniform fashion.

Author : Joachim P. Walser
Publisher : Springer
ISBN 13 : 3540483691
Total Pages : 146 pages
Book Rating : 4.94/5 ( download)

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Download or read book Integer Optimization by Local Search written by Joachim P. Walser and published by Springer. This book was released on 2003-06-26 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integer Optimization addresses a wide spectrum of practically important optimization problems and represents a major challenge for algorithmics. The goal of integer optimization is to solve a system of constraints and optimization criteria over discrete variables. Integer Optimization by Local Search introduces a new approach to domain-independent integer optimization, which, unlike traditional strategies, is based on local search. It develops the central concepts and strategies of integer local search and describes possible combinations with classical methods from linear programming. The surprising effectiveness of the approach is demonstrated in a variety of case studies on large-scale, realistic problems, including production planning, timetabling, radar surveillance, and sports scheduling. The monograph is written for practitioners and researchers from artificial intelligence and operations research.

Author : Wil Michiels
Publisher : Springer Science & Business Media
ISBN 13 : 3540358544
Total Pages : 238 pages
Book Rating : 4.41/5 ( download)

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Download or read book Theoretical Aspects of Local Search written by Wil Michiels and published by Springer Science & Business Media. This book was released on 2007-01-17 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Local search has been applied successfully to a diverse collection of optimization problems. However, results are scattered throughout the literature. This is the first book that presents a large collection of theoretical results in a consistent manner. It provides the reader with a coherent overview of the achievements obtained so far, and serves as a source of inspiration for the development of novel results in the challenging field of local search.

Author : Vittorio Maniezzo
Publisher : Springer Science & Business Media
ISBN 13 : 1441913068
Total Pages : 283 pages
Book Rating : 4.67/5 ( download)

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Download or read book Matheuristics written by Vittorio Maniezzo and published by Springer Science & Business Media. This book was released on 2009-09-18 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metaheuristics support managers in decision-making with robust tools that provide high-quality solutions to important applications in business, engineering, economics, and science in reasonable time frames, but finding exact solutions in these applications still poses a real challenge. However, because of advances in the fields of mathematical optimization and metaheuristics, major efforts have been made on their interface regarding efficient hybridization. This edited book will provide a survey of the state of the art in this field by providing some invited reviews by well-known specialists as well as refereed papers from the second Matheuristics workshop to be held in Bertinoro, Italy, June 2008. Papers will explore mathematical programming techniques in metaheuristics frameworks, and especially focus on the latest developments in Mixed Integer Programming in solving real-world problems.

Author : Vittorio Maniezzo
Publisher : Springer Nature
ISBN 13 : 3030702774
Total Pages : 222 pages
Book Rating : 4.79/5 ( download)

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Download or read book Matheuristics written by Vittorio Maniezzo and published by Springer Nature. This book was released on 2021-04-29 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first comprehensive tutorial on matheuristics. Matheuristics are based on mathematical extensions of previously known heuristics, mainly metaheuristics, and on original, area-specific approaches. This tutorial provides a detailed discussion of both contributions, presenting the pseudocodes of over 40 algorithms, abundant literature references, and for each case a step-by-step description of a sample run on a common Generalized Assignment Problem example. C++ source codes of all algorithms are available in an associated SW repository.

Author : Cesar Rego
Publisher : Springer Science & Business Media
ISBN 13 : 0387236678
Total Pages : 472 pages
Book Rating : 4.74/5 ( download)

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Download or read book Metaheuristic Optimization via Memory and Evolution written by Cesar Rego and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tabu Search (TS) and, more recently, Scatter Search (SS) have proved highly effective in solving a wide range of optimization problems, and have had a variety of applications in industry, science, and government. The goal of Metaheuristic Optimization via Memory and Evolution: Tabu Search and Scatter Search is to report original research on algorithms and applications of tabu search, scatter search or both, as well as variations and extensions having "adaptive memory programming" as a primary focus. Individual chapters identify useful new implementations or new ways to integrate and apply the principles of TS and SS, or that prove new theoretical results, or describe the successful application of these methods to real world problems.

Author : Mohit Tawarmalani
Publisher : Springer Science & Business Media
ISBN 13 : 1475735324
Total Pages : 492 pages
Book Rating : 4.21/5 ( download)

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Download or read book Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming written by Mohit Tawarmalani and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in constrained optimization originated with the simple linear pro gramming model since it was practical and perhaps the only computationally tractable model at the time. Constrained linear optimization models were soon adopted in numerous application areas and are perhaps the most widely used mathematical models in operations research and management science at the time of this writing. Modelers have, however, found the assumption of linearity to be overly restrictive in expressing the real-world phenomena and problems in economics, finance, business, communication, engineering design, computational biology, and other areas that frequently demand the use of nonlinear expressions and discrete variables in optimization models. Both of these extensions of the linear programming model are NP-hard, thus representing very challenging problems. On the brighter side, recent advances in algorithmic and computing technology make it possible to re visit these problems with the hope of solving practically relevant problems in reasonable amounts of computational time. Initial attempts at solving nonlinear programs concentrated on the de velopment of local optimization methods guaranteeing globality under the assumption of convexity. On the other hand, the integer programming liter ature has concentrated on the development of methods that ensure global optima. The aim of this book is to marry the advancements in solving nonlinear and integer programming models and to develop new results in the more general framework of mixed-integer nonlinear programs (MINLPs) with the goal of devising practically efficient global optimization algorithms for MINLPs.

Author : Neculai Andrei
Publisher : Springer
ISBN 13 : 3319583565
Total Pages : 506 pages
Book Rating : 4.63/5 ( download)

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Download or read book Continuous Nonlinear Optimization for Engineering Applications in GAMS Technology written by Neculai Andrei and published by Springer. This book was released on 2017-12-04 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theoretical details and computational performances of algorithms used for solving continuous nonlinear optimization applications imbedded in GAMS. Aimed toward scientists and graduate students who utilize optimization methods to model and solve problems in mathematical programming, operations research, business, engineering, and industry, this book enables readers with a background in nonlinear optimization and linear algebra to use GAMS technology to understand and utilize its important capabilities to optimize algorithms for modeling and solving complex, large-scale, continuous nonlinear optimization problems or applications. Beginning with an overview of constrained nonlinear optimization methods, this book moves on to illustrate key aspects of mathematical modeling through modeling technologies based on algebraically oriented modeling languages. Next, the main feature of GAMS, an algebraically oriented language that allows for high-level algebraic representation of mathematical optimization models, is introduced to model and solve continuous nonlinear optimization applications. More than 15 real nonlinear optimization applications in algebraic and GAMS representation are presented which are used to illustrate the performances of the algorithms described in this book. Theoretical and computational results, methods, and techniques effective for solving nonlinear optimization problems, are detailed through the algorithms MINOS, KNITRO, CONOPT, SNOPT and IPOPT which work in GAMS technology.

Author : Yusuf Cengiz Toklu
Publisher : John Wiley & Sons
ISBN 13 : 1786302349
Total Pages : 258 pages
Book Rating : 4.42/5 ( download)

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Download or read book Metaheuristics for Structural Design and Analysis written by Yusuf Cengiz Toklu and published by John Wiley & Sons. This book was released on 2021-07-21 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metaheuristics for Structural Design and Analysis discusses general properties and types of metaheuristic techniques, basic principles of topology, shape and size optimization of structures, and applications of metaheuristic algorithms in solving structural design problems. Analysis of structures using metaheuristic algorithms is also discussed. Comparisons are made with classical methods and modern computational methods through metaheuristic algorithms. The book is designed for senior structural engineering students, graduate students, academicians and practitioners.