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Further Investigation Of Interior Path Methods For Heuristic Integer Programming Procedures
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Author :Stanford University. Systems Optimization Laboratory. Systems Optimization Laboratory Publisher : ISBN 13 : Total Pages :92 pages Book Rating :4.F/5 ( download)
Book Synopsis Further Investigation of Interior Path Methods for Heuristic Integer Programming Procedures by : Stanford University. Systems Optimization Laboratory. Systems Optimization Laboratory
Download or read book Further Investigation of Interior Path Methods for Heuristic Integer Programming Procedures written by Stanford University. Systems Optimization Laboratory. Systems Optimization Laboratory and published by . This book was released on 1977 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Interior Path Methods for Heuristic Integer Programming Procedures by : Stanford University. Department of Operations Research
Download or read book Interior Path Methods for Heuristic Integer Programming Procedures written by Stanford University. Department of Operations Research and published by . This book was released on 1977 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper considers heuristic procedures for general mixed integer linear programming with inequality constraints. It focuses on the question of how to most effectively initialize such procedures by constructing an interior path from which to search for good feasible solutions. These paths lead from an optimal solution for the corresponding linear programming problem (i.e., deleting integrality restrictions) into the interior of the feasible region for this problem. Previous methods for constructing linear paths of this kind are analyzed from a statistical viewpoint, which motivates a promising new method. These methods are then extended to piecewise linear paths in order to improve the direction of search in certain cases where constraints that are not binding on the optimal linear programming solution become particularly relevant. Computational experience is reported. (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 A Further Investigation of Efficient Heuristic Procedures for Integer Linear Programming with an Interior by : Frederick S. Hillier
Download or read book A Further Investigation of Efficient Heuristic Procedures for Integer Linear Programming with an Interior written by Frederick S. Hillier and published by . This book was released on 1977 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents the results of an extensive investigation of algorithmic heuristic procedures for general pure integer linear programming problems having only inequality constraints. Included are a number of promising new variations and extensions of the procedures previously proposed by the author. Extensive computational experimentation has largely succeeded in identifying a flexible package of the most effective approaches, ranging from a very fast streamlined procedure to a very powerful combination of procedures. These procedures are both extremely efficient (comparable to the simplex method) and very effective in identifying good solutions (often obtaining an optimal one). Although they are designed primarily for dealing algorithmically with the frequently encountered problems that are too large to be computationally feasible for exact algorithms, they also can be valuable on smaller problems by quickly providing an advanced starting solution for such algorithms. (Author).
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 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 1992 with total page 1572 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Interior Point Methods of Mathematical Programming by : Tamás Terlaky
Download or read book Interior Point Methods of Mathematical Programming written by Tamás Terlaky and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: One has to make everything as simple as possible but, never more simple. Albert Einstein Discovery consists of seeing what every body has seen and thinking what nobody has thought. Albert S. ent_Gyorgy; The primary goal of this book is to provide an introduction to the theory of Interior Point Methods (IPMs) in Mathematical Programming. At the same time, we try to present a quick overview of the impact of extensions of IPMs on smooth nonlinear optimization and to demonstrate the potential of IPMs for solving difficult practical problems. The Simplex Method has dominated the theory and practice of mathematical pro gramming since 1947 when Dantzig discovered it. In the fifties and sixties several attempts were made to develop alternative solution methods. At that time the prin cipal base of interior point methods was also developed, for example in the work of Frisch (1955), Caroll (1961), Huard (1967), Fiacco and McCormick (1968) and Dikin (1967). In 1972 Klee and Minty made explicit that in the worst case some variants of the simplex method may require an exponential amount of work to solve Linear Programming (LP) problems. This was at the time when complexity theory became a topic of great interest. People started to classify mathematical programming prob lems as efficiently (in polynomial time) solvable and as difficult (NP-hard) problems. For a while it remained open whether LP was solvable in polynomial time or not. The break-through resolution ofthis problem was obtained by Khachijan (1989).
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 349 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Status of Energy Policy Research at Stanford by : Stanford University. Institute for Energy Studies
Download or read book Status of Energy Policy Research at Stanford written by Stanford University. Institute for Energy Studies and published by . This book was released on 1980 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Constraint Integer Programming by : Tobias Achterberg
Download or read book Constraint Integer Programming written by Tobias Achterberg and published by . This book was released on 2008 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Future of Pricing written by E. Boyd and published by Springer. This book was released on 2016-04-30 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: A story about science, technology, and people, The Future of Pricing provides an inside look at how airlines price tickets and how practices developed in the airline industry are now revolutionizing the world of pricing. This book is written for business professionals and students wanting to better understand the rapid growth of scientific pricing.
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 Operations Research and Management Science Handbook by : A. Ravi Ravindran
Download or read book Operations Research and Management Science Handbook written by A. Ravi Ravindran and published by CRC Press. This book was released on 2016-04-19 with total page 900 pages. Available in PDF, EPUB and Kindle. Book excerpt: Operations Research (OR) began as an interdisciplinary activity to solve complex military problems during World War II. Utilizing principles from mathematics, engineering, business, computer science, economics, and statistics, OR has developed into a full fledged academic discipline with practical application in business, industry, government and m
Book Synopsis Modeling, Analysis, and Applications in Metaheuristic Computing: Advancements and Trends by : Yin, Peng-Yeng
Download or read book Modeling, Analysis, and Applications in Metaheuristic Computing: Advancements and Trends written by Yin, Peng-Yeng and published by IGI Global. This book was released on 2012-03-31 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a collection of the latest developments, models, and applications within the transdisciplinary fields related to metaheuristic computing, providing readers with insight into a wide range of topics such as genetic algorithms, differential evolution, and ant colony optimization"--Provided by publisher.
Book Synopsis Operations Research Applications by : A. Ravi Ravindran
Download or read book Operations Research Applications written by A. Ravi Ravindran and published by CRC Press. This book was released on 2008-11-12 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: As operations research (OR) applications continue to grow and flourish in a number of decision making fields, a reference that is comprehensive, concise, and easy to read is more than a nicety, it is a necessity. This book provides a single volume overview of OR applications in practice, making it the first resource a practitioner would reach for w
Download or read book Management Science written by and published by . This book was released on 1982 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes special issues: The Professional series in the management sciences.
