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Author : Jacob Akoka
Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.:/5 (281 download)
Download or read book Rounded Branch and bound method for mixed integer nonlinear programming problems written by Jacob Akoka and published by . This book was released on 1977 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
![Download Rounded [i.e. Bounded] Branch and Bound Method for Mixed Integer Nonlinear Programming Problems PDF Online Free](https://books.google.com/books/content/images/frontcover/drMqzwEACAAJ?fife=w200-h370)
Author : Jacob Akoka
Publisher : Palala Press
ISBN 13 : 9781378247877
Total Pages : 110 pages
Book Rating : 4.2/5 (478 download)
Download or read book Rounded [i.e. Bounded] Branch and Bound Method for Mixed Integer Nonlinear Programming Problems written by Jacob Akoka and published by Palala Press. This book was released on 2018-02-20 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Jacob Akoka
Publisher : Forgotten Books
ISBN 13 : 9780656402700
Total Pages : 102 pages
Book Rating : 4.4/5 (27 download)
Download or read book Rounded Branch and Bound Method for Mixed Integer Nonlinear Programming Problems written by Jacob Akoka and published by Forgotten Books. This book was released on 2018-02-12 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Rounded Branch and Bound Method for Mixed Integer Nonlinear Programming Problems: January 1977 In this paper, a method is described to solve integer nonlinear programming problems In this bounded Branch and Bound method, the arborescence has only N nodes, where N is the number of variables of the problem. Therefore, we store in the main memory of the computer only the informations relative to the N nodes. We can. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : JACOB. AKOKA
Publisher :
ISBN 13 : 9781033424780
Total Pages : 0 pages
Book Rating : 4.4/5 (247 download)
Download or read book ROUNDED BRANCH AND BOUND METHOD FOR MIXED INTEGER NONLINEAR PROGRAMMING PROBLEMS written by JACOB. AKOKA and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jon Lee
Publisher : Springer Science & Business Media
ISBN 13 : 1461419271
Total Pages : 687 pages
Book Rating : 4.4/5 (614 download)
Download or read book Mixed Integer Nonlinear Programming written by Jon Lee and published by Springer Science & Business Media. This book was released on 2011-12-02 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many engineering, operations, and scientific applications include a mixture of discrete and continuous decision variables and nonlinear relationships involving the decision variables that have a pronounced effect on the set of feasible and optimal solutions. Mixed-integer nonlinear programming (MINLP) problems combine the numerical difficulties of handling nonlinear functions with the challenge of optimizing in the context of nonconvex functions and discrete variables. MINLP is one of the most flexible modeling paradigms available for optimization; but because its scope is so broad, in the most general cases it is hopelessly intractable. Nonetheless, an expanding body of researchers and practitioners — including chemical engineers, operations researchers, industrial engineers, mechanical engineers, economists, statisticians, computer scientists, operations managers, and mathematical programmers — are interested in solving large-scale MINLP instances.
Author : Ivo Nowak
Publisher : Springer Science & Business Media
ISBN 13 : 3764373741
Total Pages : 213 pages
Book Rating : 4.7/5 (643 download)
Download or read book Relaxation and Decomposition Methods for Mixed Integer Nonlinear Programming written by Ivo Nowak and published by Springer Science & Business Media. This book was released on 2006-03-28 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearoptimizationproblemscontainingbothcontinuousanddiscretevariables are called mixed integer nonlinear programs (MINLP). Such problems arise in many ?elds, such as process industry, engineering design, communications, and ?nance. There is currently a huge gap between MINLP and mixed integer linear programming(MIP) solvertechnology.With a modernstate-of-the-artMIP solver itispossibletosolvemodelswithmillionsofvariablesandconstraints,whereasthe dimensionofsolvableMINLPsisoftenlimitedbyanumberthatissmallerbythree or four orders of magnitude. It is theoretically possible to approximate a general MINLP by a MIP with arbitrary precision. However, good MIP approximations are usually much larger than the original problem. Moreover, the approximation of nonlinear functions by piecewise linear functions can be di?cult and ti- consuming. In this book relaxation and decomposition methods for solving nonconvex structured MINLPs are proposed. In particular, a generic branch-cut-and-price (BCP) framework for MINLP is presented. BCP is the underlying concept in almost all modern MIP solvers. Providing a powerful decomposition framework for both sequential and parallel solvers, it made the success of the current MIP technology possible. So far generic BCP frameworks have been developed only for MIP, for example,COIN/BCP (IBM, 2003) andABACUS (OREAS GmbH, 1999). In order to generalize MIP-BCP to MINLP-BCP, the following points have to be taken into account: • A given (sparse) MINLP is reformulated as a block-separable program with linear coupling constraints.The block structure makes it possible to generate Lagrangian cuts and to apply Lagrangian heuristics. • In order to facilitate the generation of polyhedral relaxations, nonlinear c- vex relaxations are constructed. • The MINLP separation and pricing subproblems for generating cuts and columns are solved with specialized MINLP solvers.
Author : Hanif D. Sherali
Publisher : Springer Science & Business Media
ISBN 13 : 9780792354871
Total Pages : 544 pages
Book Rating : 4.3/5 (548 download)
Download or read book A Reformulation-Linearization Technique for Solving Discrete and Continuous Nonconvex Problems written by Hanif D. Sherali and published by Springer Science & Business Media. This book was released on 1998-12-31 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets out a new method for generating tight linear or convex programming relaxations for discrete and continuous nonconvex programming problems, featuring a model that affords a useful representation and structure, further strengthened with an automatic reformulation and constraint generation technique. Offers a unified treatment of discrete and continuous nonconvex programming problems, bridging these two types of nonconvexities with a polynomial representation of discrete constraints, and discusses special applications to discrete and continuous nonconvex programs. Material comprises original work of the authors compiled from several journal publications. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Egon Balas
Publisher : Springer
ISBN 13 : 3030001482
Total Pages : 238 pages
Book Rating : 4.0/5 (3 download)
Download or read book Disjunctive Programming written by Egon Balas and published by Springer. This book was released on 2018-11-27 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.
Download or read book A Branch and Bound Algorithm for Zero-one Mixed Integer Programming Problems written by and published by . This book was released on 1967 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Raymond Neil McCollum
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (81 download)
Download or read book A Linear Programming Based Branch and Bound Algorithm for Mixed Integer Generalized Network Problems written by Raymond Neil McCollum and published by . This book was released on 1981 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald E. Davis
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (255 download)
Download or read book Branch and Bound Algorithm for Zero-One Mixed Integer Programming Problems written by Ronald E. Davis and published by . This book was released on 1967 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Duan Li
Publisher : Springer Science & Business Media
ISBN 13 : 0387329951
Total Pages : 452 pages
Book Rating : 4.3/5 (873 download)
Download or read book Nonlinear Integer Programming written by Duan Li and published by Springer Science & Business Media. This book was released on 2006-08-13 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: A combination of both Integer Programming and Nonlinear Optimization, this is a powerful book that surveys the field and provides a state-of-the-art treatment of Nonlinear Integer Programming. It is the first book available on the subject. The book aims to bring the theoretical foundation and solution methods for nonlinear integer programming to students and researchers in optimization, operations research, and computer science.
Author : Joseph Bannan Missal
Publisher :
ISBN 13 :
Total Pages : 47 pages
Book Rating : 4.:/5 (22 download)
Download or read book A Branch and Bound Algorithm for Integer and Mixed-integer Linear Programs written by Joseph Bannan Missal and published by . This book was released on 1969 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: The algorithm presented is an extension of the Land and Doig branch and bound method combined with the branch selection techniques presented by Beale and Small to solve integer or mixed-integer linear programs. The algorithm obtains the solution by solving a linear program with upper and/or lower bounds on selected branch variables. By systematically changing these bounds, and maintaining only the current canonical form, the solution is assured using a minimum of excess computer storage above that required to solve the linear programming problem. Thus the problem can be solved entirely within the computer core, and the problem converges to the solution faster than most other general integer linear programming algorithms. (Author).
Author : Won Jun Lee
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.:/5 (238 download)
Download or read book Branch and Bound Methods for Solving a Class of Nonlinear Integer Programming Problems written by Won Jun Lee and published by . This book was released on 1989 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ambros Gleixner
Publisher :
ISBN 13 : 9783832541903
Total Pages : 0 pages
Book Rating : 4.5/5 (419 download)
Download or read book Exact and Fast Algorithms for Mixed-integer Nonlinear Programming written by Ambros Gleixner and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discipline of mixed-integer nonlinear programming (MINLP) deals with finite-dimensional optimization problems featuring both discrete choices and nonlinear functions. By this combination, it facilitates more accurate models of real-world systems than possible with purely continuous or purely linear models alone. This book presents new methods that improve the numerical reliability and the computational performance of global MINLP solvers. The author addresses numerical accuracy directly at the linear programming level by means of LP iterative refinement: a new algorithm to solve linear programs to arbitrarily high levels of precision. The computational performance of LP-based MINLP solvers is enhanced by efficient methods to execute and approximate optimization-based bound tightening and by new branching rules that exploit the presence of nonlinear integer variables, i.e., variables both contained in nonlinear terms and required to be integral. The new algorithms help to solve problems which could not be solved before, either due to their numerical complexity or because of limited computing resources.
Author : Christodoulos A. Floudas
Publisher : Springer Science & Business Media
ISBN 13 : 0387747583
Total Pages : 4646 pages
Book Rating : 4.3/5 (877 download)
Download or read book Encyclopedia of Optimization written by Christodoulos A. Floudas and published by Springer Science & Business Media. This book was released on 2008-09-04 with total page 4646 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of the Encyclopedia of Optimization is to introduce the reader to a complete set of topics that show the spectrum of research, the richness of ideas, and the breadth of applications that has come from this field. The second edition builds on the success of the former edition with more than 150 completely new entries, designed to ensure that the reference addresses recent areas where optimization theories and techniques have advanced. Particularly heavy attention resulted in health science and transportation, with entries such as "Algorithms for Genomics", "Optimization and Radiotherapy Treatment Design", and "Crew Scheduling".
Author : Mustafa Ç. Pınar
Publisher : SIAM
ISBN 13 : 1611977762
Total Pages : 148 pages
Book Rating : 4.6/5 (119 download)
Download or read book Problems and Solutions for Integer and Combinatorial Optimization written by Mustafa Ç. Pınar and published by SIAM. This book was released on 2023-11-10 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only book offering solved exercises for integer and combinatorial optimization, this book contains 102 classroom tested problems of varying scope and difficulty chosen from a plethora of topics and applications. It has an associated website containing additional problems, lecture notes, and suggested readings. Topics covered include modeling capabilities of integer variables, the Branch-and-Bound method, cutting planes, network optimization models, shortest path problems, optimum tree problems, maximal cardinality matching problems, matching-covering duality, symmetric and asymmetric TSP, 2-matching and 1-tree relaxations, VRP formulations, and dynamic programming. Problems and Solutions for Integer and Combinatorial Optimization: Building Skills in Discrete Optimization is meant for undergraduate and beginning graduate students in mathematics, computer science, and engineering to use for self-study and for instructors to use in conjunction with other course material and when teaching courses in discrete optimization.
