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Efficient Heuristic Algorithms For Positive 0 1 Polynomial Programming Problems
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Author :Stanford University. Department of Operations Research. Systems Optimization Laboratory Publisher : ISBN 13 : Total Pages :34 pages Book Rating :4.F/5 ( download)
Book Synopsis Efficient Heuristic Algorithms for Positive 0-1 Polynomial Programming Problems by : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Download or read book Efficient Heuristic Algorithms for Positive 0-1 Polynomial Programming Problems written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1978 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two types of heuristic methods for solving polynomial programming (PP) problems were developed. The various algorithms were tested on randomly generated problems of up to 1000 variables and 200 constraints. Their performance in terms of computational time and effectiveness was investigated. The results were extremely encouraging. Optimal solutions were consistently obtained by some of the heuristic methods in over 50% of the problems solved. The effectiveness was on the average better than 99% and no less than 96.5%. The computational time using the heuristic for PP problems is on the average 5% of the time required to solve the problems to optimality.
Book Synopsis Heuristic Procedures for 0-1 Integer Programming by : Kadriye Altinel Ercikan
Download or read book Heuristic Procedures for 0-1 Integer Programming written by Kadriye Altinel Ercikan and published by . This book was released on 1987 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: The limited success of exact algorithms for solving integer programming problems has encouraged the development of heuristic procedures for efficiently obtaining solutions that are at least close to optimal. This document presents three heuristic procedures for 0-1 integer programming problems having only inequality constraints. These procedures are based on Hillier's previous heuristic procedures for general integer linear programming. All three were successfully run on problems with up to 500 variables with only modest execution times. The quality of the solutions for these problems were, in general, very good and often were optimal. When the best of the solutions obtained by the three procedures was taken, the final solution was optimal for 24 of 45 randomly generated problems. These procedures can be used for problems that are too large to be computationally feasible for exact algorithms. In addition, they can be useful for smaller problems by quickly providing an advanced starting solution for an exact algorithm.
Book Synopsis An accelerated covering relaxation algorithm for solving 0-1 positive polynomial programs by : Daniel Granot
Download or read book An accelerated covering relaxation algorithm for solving 0-1 positive polynomial programs written by Daniel Granot and published by . This book was released on 1980 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this paper is to present an accelerated algorithm for solving 0-1 positive polynomial (PP) problems of finding a 0-1 vector x that maximizes cx subject to f(x) less than or = b, where f(x) = f sub i (x)) is an m-vector of polynomials with nonnegative coefficients. Like our covering relaxation algorithm (1979) the accelerated algorithm is a cutting-plane method in which each relaxed problem is a set covering problem and the cutting planes are linear covering constraints. However by contrast with other cutting-plane methods in integer programming (including our original method), we do not solve the relaxed problems to optimality after the introduction of the cutting-plane constraints. Rather, we first solve each relaxed set-covering problem heuristically and only if the heuristic solution is feasible for PP do we solve the relaxed problem to optimality. The promise of such an approach stems from the excellent performance of the various heuristic algorithms for solving integer programs. Indeed the extensive computational experimentation we performed reveals that the accelerated approach has reduced significantly both the number of covering problems solved to optimality and the computational time required to solve a PP problem. For example the average computational time required to solve a PP problem with 40 variables and an average of 10.5 terms per constraints and 3 variables per term was reduced using the accelerated method from 84.7 to 25.8 seconds while the average number of covering problems solved to optimality was reduced from 11.5 to 3.8. (Author).
Book Synopsis A further investigation of efficient heuristic procedures for integer linear programming with an interior by : Stanford University. Systems Optimization Laboratory
Download or read book A further investigation of efficient heuristic procedures for integer linear programming with an interior written by Stanford University. Systems Optimization Laboratory and published by . This book was released on 1981 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some heuristic procedures for seeking a good approximate solution of any pure integer linear programming problem are evaluated. It was found that the procedures are extremely efficient, being computationally feasible for problems having hundreds of variables and constraints. Furthermore, they proved to be very effective in identifying good solutions, often obtaining optimal ones. Thus, the procedures provide a way of dealing with the frequently encountered integer programming problems that are beyond the computational capability of existing algorithms. For smaller problems, they also provide an advanced start for accelerating certain primal algorithms, including the author's Bound-and-Scan algorithm and Faaland and Hillier's Accelerated Bound-and-Scan algorithm. In addition, Jeroslow and Smith have found that imbedding the first part of one of these procedures inside the iterative step of a branch-and-bound algorithm can greatly improve the latter's efficiency in locating solutions whose objective function value is within a specified percentage of that for the optimal solution.
Book Synopsis Integer Programming and Related Areas by : R.v. Randow
Download or read book Integer Programming and Related Areas written by R.v. Randow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1977 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1981 with total page 860 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nondifferentiable Optimization and Polynomial Problems by : N.Z. Shor
Download or read book Nondifferentiable Optimization and Polynomial Problems written by N.Z. Shor 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: Polynomial extremal problems (PEP) constitute one of the most important subclasses of nonlinear programming models. Their distinctive feature is that an objective function and constraints can be expressed by polynomial functions in one or several variables. Let :e = {:e 1, ... , :en} be the vector in n-dimensional real linear space Rn; n PO(:e), PI (:e), ... , Pm (:e) are polynomial functions in R with real coefficients. In general, a PEP can be formulated in the following form: (0.1) find r = inf Po(:e) subject to constraints (0.2) Pi (:e) =0, i=l, ... ,m (a constraint in the form of inequality can be written in the form of equality by introducing a new variable: for example, P( x) ~ 0 is equivalent to P(:e) + y2 = 0). Boolean and mixed polynomial problems can be written in usual form by adding for each boolean variable z the equality: Z2 - Z = O. Let a = {al, ... ,a } be integer vector with nonnegative entries {a;}f=l. n Denote by R[a](:e) monomial in n variables of the form: n R[a](:e) = IT :ef'; ;=1 d(a) = 2:7=1 ai is the total degree of monomial R[a]. Each polynomial in n variables can be written as sum of monomials with nonzero coefficients: P(:e) = L caR[a](:e), aEA{P) IX x Nondifferentiable optimization and polynomial problems where A(P) is the set of monomials contained in polynomial P.
Author :Universität Bonn. Institut für Ökonometrie und Operations Research Publisher : ISBN 13 : Total Pages :374 pages Book Rating :4.:/5 (41 download)
Book Synopsis Integer Programming and Related Areas by : Universität Bonn. Institut für Ökonometrie und Operations Research
Download or read book Integer Programming and Related Areas written by Universität Bonn. Institut für Ökonometrie und Operations Research and published by . This book was released on 1982 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Efficient Heuristic Procedures for Integer Linear Programming with an Interior by : Stanford University. Department of Operations Research
Download or read book Efficient Heuristic Procedures for Integer Linear Programming with an Interior written by Stanford University. Department of Operations Research and published by . This book was released on 1969 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report presents and evaluates some new heuristic procedures for seeking an approximate solution of pure integer linear programming problems having only inequality constraints. The computation time required by these methods (after obtaining the optimal noninteger solution by the simplex method) has generally been only a small fraction of that used by the simplex method for the problems tested (which have 15 to 300 original variables). Furthermore, the solution obtained by the better procedures consistently has been close to optimal and frequently has actually been optimal. There are numerous important problems in logistics that can be formulated as integer linear programming problems. These algorithms enable one to obtain good solutions to large problems of this kind. (Author).
Book Synopsis Spring Annual Conference - American Institute of Industrial Engineers by : American Institute of Industrial Engineers
Download or read book Spring Annual Conference - American Institute of Industrial Engineers written by American Institute of Industrial Engineers and published by . This book was released on 1979 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Electronics, Communications and Networks IV by : Amir Hussain
Download or read book Electronics, Communications and Networks IV written by Amir Hussain and published by CRC Press. This book was released on 2015-07-01 with total page 1868 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 4th International Conference on Electronic, Communications and Networks (CECNet2014) inherits the fruitfulness of the past three conferences and lays a foundation for the forthcoming next year in Shanghai. CECNet2014 was hosted by Hubei University of Science and Technology, China, with the main objective of providing a comprehensive global foru
Book Synopsis Handbook of Defeasible Reasoning and Uncertainty Management Systems by : Dov M. Gabbay
Download or read book Handbook of Defeasible Reasoning and Uncertainty Management Systems written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2000-12-31 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Defeasible Reasoning and Uncertainty Management Systems is unique in its masterly survey of the computational and algorithmic problems of systems of applied reasoning. The various theoretical and modelling aspects of defeasible reasoning were dealt with in the first four volumes, and Volume 5 now turns to the algorithmic aspect. Topics covered include: Computation in valuation algebras; consequence finding algorithms; possibilistic logic; probabilistic argumentation systems, networks and satisfiability; algorithms for imprecise probabilities, for Dempster-Shafer, and network based decisions.
Book Synopsis Design and Analysis of Approximation Algorithms by : Ding-Zhu Du
Download or read book Design and Analysis of Approximation Algorithms written by Ding-Zhu Du and published by Springer Science & Business Media. This book was released on 2011-11-18 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be used as a textbook for graduate students studying theoretical computer science. It can also be used as a reference book for researchers in the area of design and analysis of approximation algorithms. Design and Analysis of Approximation Algorithms is a graduate course in theoretical computer science taught widely in the universities, both in the United States and abroad. There are, however, very few textbooks available for this course. Among those available in the market, most books follow a problem-oriented format; that is, they collected many important combinatorial optimization problems and their approximation algorithms, and organized them based on the types, or applications, of problems, such as geometric-type problems, algebraic-type problems, etc. Such arrangement of materials is perhaps convenient for a researcher to look for the problems and algorithms related to his/her work, but is difficult for a student to capture the ideas underlying the various algorithms. In the new book proposed here, we follow a more structured, technique-oriented presentation. We organize approximation algorithms into different chapters, based on the design techniques for the algorithms, so that the reader can study approximation algorithms of the same nature together. It helps the reader to better understand the design and analysis techniques for approximation algorithms, and also helps the teacher to present the ideas and techniques of approximation algorithms in a more unified way.
Download or read book Management Science written by and published by . This book was released on 1989 with total page 830 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes special issues: The Professional series in the management sciences.
Book Synopsis Design of Heuristic Algorithms for Hard Optimization by : Éric D. Taillard
Download or read book Design of Heuristic Algorithms for Hard Optimization written by Éric D. Taillard and published by Springer Nature. This book was released on 2022-10-29 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book demonstrates all the steps required to design heuristic algorithms for difficult optimization. The classic problem of the travelling salesman is used as a common thread to illustrate all the techniques discussed. This problem is ideal for introducing readers to the subject because it is very intuitive and its solutions can be graphically represented. The book features a wealth of illustrations that allow the concepts to be understood at a glance. The book approaches the main metaheuristics from a new angle, deconstructing them into a few key concepts presented in separate chapters: construction, improvement, decomposition, randomization and learning methods. Each metaheuristic can then be presented in simplified form as a combination of these concepts. This approach avoids giving the impression that metaheuristics is a non-formal discipline, a kind of cloud sculpture. Moreover, it provides concrete applications of the travelling salesman problem, which illustrate in just a few lines of code how to design a new heuristic and remove all ambiguities left by a general framework. Two chapters reviewing the basics of combinatorial optimization and complexity theory make the book self-contained. As such, even readers with a very limited background in the field will be able to follow all the content.
