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Accelerated Bound And Scan Algorithm For Integer Programming
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Book Synopsis Accelerated Bound and Scan Algorithm for Integer Programming by : Stanford University. Department of Operations Research
Download or read book Accelerated Bound and Scan Algorithm for Integer Programming written by Stanford University. Department of Operations Research and published by . This book was released on 1972 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper presents a new implicit enumeration algorithm for solving the pure integer linear programming problem. The theory of equivalent integer programming problems is first used to reformulate the problem. A technique, originally used with particular success in the bound-and-scan algorithm to deal with only a subset of the variables, is extended to all of the variables in the restructured problem. In addition to the resulting basic enumeration scheme, the algorithm includes a scanning procedure and a method for identifying constraints which become redundant during the course of the algorithm. Computational experience on standard test problems is reported.
Book Synopsis Estimates and Bounds on Computational Effort in the Accelerated Bound and Scan Algorithm by : Stanford University. Department of Operations Research
Download or read book Estimates and Bounds on Computational Effort in the Accelerated Bound and Scan Algorithm written by Stanford University. Department of Operations Research and published by . This book was released on 1972 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods for obtaining estimates and bounds on computational effort in the Accelerated bound-and-scan algorithm are presented. The basic tools of analysis used are various results from the theory of partitions of numbers, and central-limit theorem, and geometric interpretations of the algorithm. The results of the analysis are used to provide partial answers to questions such as (a) What is the greatest amount of time the algorithm could require to solve a given problem. (b) What is the expected computation time. (c) How should the variables and constraints be ordered. (d) How does the computation time depend on the number of variables. and (E) How is the computation time affected by the quality of the starting solution.
Book Synopsis Integer Programming and Related Areas by : C. Kastning
Download or read book Integer Programming and Related Areas written by C. Kastning and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integer Prograw~ing is one of the most fascinating and difficult areas in the field of Mathematical Optimization. Due to this fact notable research contributions to Integer Programming have been made in very different branches of mathematics and its applications. Since these publications are scattered over many journals, proceedings volumes, monographs, and working papers, a comprehensive bibliography of all these sources is a helpful tool even for specialists in this field. I initiated this compilation of literature in 1970 at the Institut fur ~konometrie und Operations Research, University of Bonn. Since then many collaborators have contributed to and worked on it. Among them Dipl.-Math. Claus Kastning has done the bulk of the work. With great perseverance and diligence he has gathered all the material and checked it with the original sources. The main aim was to incorporate rare and not easily accessible sources like Russian journals, preprints or unpublished papers. Without the invaluable and dedicated engagement of Claus Kastning the bibliography would never have reached this final version. For this reason he must be considered its responsible editor. As with any other collection this literature list has a subjective viewpoint and may be in some sense incomplete. We have however tried to be as complete as possible. The bibliography contains 4704 different publications by 6767 authors which were classified by 11839 descriptor entries.
Book Synopsis Bound and Scan Algorithm for Pure Integer Linear Programming with General Variables by : Stanford University. Department of Operations Research
Download or read book Bound and Scan Algorithm for Pure Integer Linear Programming with General Variables written by Stanford University. Department of Operations Research and published by . This book was released on 1969 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: The report presents the theory underlying the bound-and-scan algorithm for solving the pure integer linear programming problem with general integer variables. This algorithm proceeds by obtaining tight bounds or conditional bounds on the relevant values of the respective variables, and then identifying a sequence of constantly improving feasible solutions by scanning the relevant solutions. New encouraging computational experience is reported which suggests that this algorithm should compare favorably in efficiency with existing algorithms. Plans for investigating ways of further increasing the efficiency of the algorithm and of extending it to more general problems (including the mixed-integer case) also are outlined. The report also gives a listing of a new FORTRAN code for the algorithm and 30 new test problems.
Book Synopsis Documentation of a computer program for the bound-and- scan algorithm for integer linear programming by : STANFORD UNIV CA DEPT OF OPERATIONS RESEARCH.
Download or read book Documentation of a computer program for the bound-and- scan algorithm for integer linear programming written by STANFORD UNIV CA DEPT OF OPERATIONS RESEARCH. and published by . This book was released on 1979 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report gives documentation for the computer code BDSCAN for solving integer linear programming problems using the bound-and-scan algorithm. A listing of the program with sample input and output is included. (Author).
Book Synopsis Optimal Bound and Scan Algorithm for Integer Linear Programming by : Stanford University. Department of Industrial Engineering
Download or read book Optimal Bound and Scan Algorithm for Integer Linear Programming written by Stanford University. Department of Industrial Engineering and published by . This book was released on 1966 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new algorithm for solving the pure integer linear programming problem is presented and evaluated. Roughly speaking this algorithm proceeds by obtaining tight bounds or conditional bounds on the relevant values of the respective variables, and then identifying a sequence of constantly improving feasible solutions by scanning the relevant solutions. Encouraging computational experience is reported that suggests that this algorithm should compare favorably in efficiency with existing algorithms. Plans for investigating ways of further increasing the efficiency of the algorithm and of extending it to more general problems also are outlined. (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.
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
Book Synopsis Integer Programming by : Harvey M. Salkin
Download or read book Integer Programming written by Harvey M. Salkin and published by Addison Wesley Publishing Company. This book was released on 1975 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integer Programming by : Hamdy A. Taha
Download or read book Integer Programming written by Hamdy A. Taha and published by . This book was released on 1975 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Integer Programming by : Harvey M. Salkin
Download or read book Foundations of Integer Programming written by Harvey M. Salkin and published by North Holland. This book was released on 1989 with total page 788 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 1995 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin of the Operations Research Society of America by :
Download or read book Bulletin of the Operations Research Society of America written by and published by . This book was released on 1972 with total page 1230 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).
Download or read book Management Science written by and published by . This book was released on 1974 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes special issues: The Professional series in the management sciences.
Download or read book Memo written by and published by . This book was released on 1977 with total page 948 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Naval Research Logistics written by and published by . This book was released on 1991 with total page 1002 pages. Available in PDF, EPUB and Kindle. Book excerpt: The types of articles most sought after by Naval Research Logistics fall into the following classes: (i) modeling and analysis of problems motivated by current real-world applications, (ii) exploratory modeling and analysis of problems motivated by potential future real-world applications, (iii) major methodological advances, and (iv) expository pieces of exceptional clarity. Areas represented include (but are not limited to) probability, statistics, simulation, optimization, game theory,scheduling, reliability, inventory, decision analysis, and combatmodels.
