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Author : Ronald Dean Armstrong
Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.:/5 (15 download)
Download or read book Algorithms for zero-one and mixed-integer programming written by Ronald Dean Armstrong and published by . This book was released on 1974 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stanford University. Department of Operations Research
Publisher :
ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.F/5 ( download)
Download or read book Simplex Search Algorithm for Solving Zero-one Mixed Integer Programs written by Stanford University. Department of Operations Research and published by . This book was released on 1969 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: An algorithm for solving zero-one mixed integer programming problems which has been developed and implemented in an all-in-core FORTRAN program is reported with computational experience on a variety of well-known problem types. The imbedded linear programs of Land and Doig, the derived binary constraints of Benders, and the binary feasibility tests introduced by Balas, are used in conjunction with augmented linear programs obtained by summarizing in the form of a linear inequality the set of solutions remaining to be (implicitly) enumerated when only partial completion of a branch-and-bound search has been accomplished. These augmented linear programs yield new sufficient conditions for optimality of an incumbent solution which have significantly accelerated convergence of the search procedure on a number of problem types, notably the Savage-Lorie project selection or multi-dimensional knapsack variety. Computational experience with scheduling, warehouse location, and economic investment planning models is also reported. The algorithm has proven satisfactory for use on a production basis, and is currently in use for selection of water resource development projects. (Author).
Author : Ronald E. Davis
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.:/5 (225 download)
Download or read book Branch and Bound Algorithms for Zero-one Mixed Integer Programming Problems written by Ronald E. Davis and published by . This book was released on 1967 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Hamdy A. Taha
Publisher : Academic Press
ISBN 13 : 1483260372
Total Pages : 395 pages
Book Rating : 4.4/5 (832 download)
Download or read book Integer Programming written by Hamdy A. Taha and published by Academic Press. This book was released on 2014-05-10 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integer Programming: Theory, Applications, and Computations provides information pertinent to the theory, applications, and computations of integer programming. This book presents the computational advantages of the various techniques of integer programming. Organized into eight chapters, this book begins with an overview of the general categorization of integer applications and explains the three fundamental techniques of integer programming. This text then explores the concept of implicit enumeration, which is general in a sense that it is applicable to any well-defined binary program. Other chapters consider the branch-and-bound methods, the cutting-plane method, and its closely related asymptotic problem. This book discusses as well several specialized algorithms for certain well-known integer models and provides an alternative approach to the solution of the integer problem. The final chapter deals with a number of observations about the formulations and executions of integer programming models. This book is a valuable resource for industrial engineers and research workers.
Author : M. L. Balinski
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.3/5 (97 download)
Download or read book Approaches to Integer Programming written by M. L. Balinski and published by . This book was released on 1974 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Branch and bound experiments in 0-1 programming; A subadditive approach to the group problem of integer programming; Two computationaly difficult set covering problems that arise in computing the 1-width of incidence matrices of Steiner triple systems; Lagrangean relaxation for integer programming; A heuristic algorithm for mixed-integer programming problems; On the group problem for mixed integer programming; Experiments in the formulation of integer programming problems.
Author : Michael Jünger
Publisher : Springer Science & Business Media
ISBN 13 : 3540428771
Total Pages : 317 pages
Book Rating : 4.5/5 (44 download)
Download or read book Computational Combinatorial Optimization written by Michael Jünger and published by Springer Science & Business Media. This book was released on 2001-11-21 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This tutorial contains written versions of seven lectures on Computational Combinatorial Optimization given by leading members of the optimization community. The lectures introduce modern combinatorial optimization techniques, with an emphasis on branch and cut algorithms and Lagrangian relaxation approaches. Polyhedral combinatorics as the mathematical backbone of successful algorithms are covered from many perspectives, in particular, polyhedral projection and lifting techniques and the importance of modeling are extensively discussed. Applications to prominent combinatorial optimization problems, e.g., in production and transport planning, are treated in many places; in particular, the book contains a state-of-the-art account of the most successful techniques for solving the traveling salesman problem to optimality.
Author : David J. Kendrick
Publisher :
ISBN 13 :
Total Pages : 28 pages
Book Rating : 4.F/5 ( download)
Download or read book MIPBA Program written by David J. Kendrick and published by . This book was released on 1967 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Der-San Chen
Publisher : John Wiley & Sons
ISBN 13 : 1118210026
Total Pages : 489 pages
Book Rating : 4.1/5 (182 download)
Download or read book Applied Integer Programming written by Der-San Chen and published by John Wiley & Sons. This book was released on 2011-09-20 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible treatment of the modeling and solution of integer programming problems, featuring modern applications and software In order to fully comprehend the algorithms associated with integer programming, it is important to understand not only how algorithms work, but also why they work. Applied Integer Programming features a unique emphasis on this point, focusing on problem modeling and solution using commercial software. Taking an application-oriented approach, this book addresses the art and science of mathematical modeling related to the mixed integer programming (MIP) framework and discusses the algorithms and associated practices that enable those models to be solved most efficiently. The book begins with coverage of successful applications, systematic modeling procedures, typical model types, transformation of non-MIP models, combinatorial optimization problem models, and automatic preprocessing to obtain a better formulation. Subsequent chapters present algebraic and geometric basic concepts of linear programming theory and network flows needed for understanding integer programming. Finally, the book concludes with classical and modern solution approaches as well as the key components for building an integrated software system capable of solving large-scale integer programming and combinatorial optimization problems. Throughout the book, the authors demonstrate essential concepts through numerous examples and figures. Each new concept or algorithm is accompanied by a numerical example, and, where applicable, graphics are used to draw together diverse problems or approaches into a unified whole. In addition, features of solution approaches found in today's commercial software are identified throughout the book. Thoroughly classroom-tested, Applied Integer Programming is an excellent book for integer programming courses at the upper-undergraduate and graduate levels. It also serves as a well-organized reference for professionals, software developers, and analysts who work in the fields of applied mathematics, computer science, operations research, management science, and engineering and use integer-programming techniques to model and solve real-world optimization problems.
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 : Edna Loehman
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (227 download)
Download or read book Two Algorithms for Integer Optimization written by Edna Loehman and published by . This book was released on 1969 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paper presents two algorithms for solving zero-one programming problems. The algorithms are also suited for solving mixed integer programming problems, that is, when some of the variables are required to be zero or one but the other variables may take on any nonnegative value. The two algorithms are very similar in that both use the dual method to solve the associated linear programming problem. However, the tree search procedures used are different. In the first, the order of variables in a partial solution is fixed in backtracking. In the other, there is some flexibility in backtracking. Different choice procedures for selecting a variable to fix at zero or one are used. Computational results are presented. (Author).
Author : Fred Glover
Publisher :
ISBN 13 :
Total Pages : 122 pages
Book Rating : 4.1/5 (67 download)
Download or read book A Multiphase-dual Algorithm for the Zero-one Integer Programming Problem written by Fred Glover and published by . This book was released on 1965 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Matteo Fischetti
Publisher : Springer
ISBN 13 : 3540727922
Total Pages : 509 pages
Book Rating : 4.5/5 (47 download)
Download or read book Integer Programming and Combinatorial Optimization written by Matteo Fischetti and published by Springer. This book was released on 2007-06-26 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2007, held in Ithaca, NY, USA, in June 2007. Among the topics addressed in the 36 revised full papers are approximation algorithms, algorithmic game theory, computational biology, integer programming, polyhedral combinatorics, scheduling theory and scheduling algorithms, as well as semidefinite programs.
Author : Paul Gray
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.F/5 ( download)
Download or read book Mixed Integer Programming Algorithms for Site Selection and Other Fixed Charge Problems Having Capacity Constraints written by Paul Gray and published by . This book was released on 1967 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms for solving site-selection and similar fixed charge problems with upper bound constraints are presented. The basic approach is to formulate the problem as a mixed integer program and to solve these programs by decomposing them into a master integer program and a series of subproblems which are linear programs. To reduce the number of vertices to be examined to manageable proportions, the bound-and-scan algorithm by F.S. Hillier was adapted to the fixed charge problem. Algorithms are presented for four classes of problems: (1) Fixed charge problem with linear variable costs and a fixed charge for each variable at non-zero level. (2) Problem 1 with separable concave or convex variable costs. (3) A warehouse location problem in which variable costs and constraints are of the transportation type. A fixed charge is associated with each warehouse opened. (4) The fixed charge transportation problem in which a fixed charge is associated with each route rather than with each warehouse. Computational results for Problems 1, 2, and 4 are presented. (Author).
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.
Author : Bezalel Gavish
Publisher :
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.3/5 (243 download)
Download or read book Zero-one Integer Programs with Few Constraints written by Bezalel Gavish and published by . This book was released on 1984 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hanif D. Sherali
Publisher : Springer Science & Business Media
ISBN 13 : 1475743882
Total Pages : 529 pages
Book Rating : 4.4/5 (757 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 2013-04-17 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the theory and applications of the Reformulation- Linearization/Convexification Technique (RL T) for solving nonconvex optimization problems. A unified treatment of discrete and continuous nonconvex programming problems is presented using this approach. In essence, the bridge between these two types of nonconvexities is made via a polynomial representation of discrete constraints. For example, the binariness on a 0-1 variable x . can be equivalently J expressed as the polynomial constraint x . (1-x . ) = 0. The motivation for this book is J J the role of tight linear/convex programming representations or relaxations in solving such discrete and continuous nonconvex programming problems. The principal thrust is to commence with a model that affords a useful representation and structure, and then to further strengthen this representation through automatic reformulation and constraint generation techniques. As mentioned above, the focal point of this book is the development and application of RL T for use as an automatic reformulation procedure, and also, to generate strong valid inequalities. The RLT operates in two phases. In the Reformulation Phase, certain types of additional implied polynomial constraints, that include the aforementioned constraints in the case of binary variables, are appended to the problem. The resulting problem is subsequently linearized, except that certain convex constraints are sometimes retained in XV particular special cases, in the Linearization/Convexijication Phase. This is done via the definition of suitable new variables to replace each distinct variable-product term. The higher dimensional representation yields a linear (or convex) programming relaxation.
