Download or read book On Scolnik s Proposed Polynomial time Linear Programming Algorithm written by David M. Gay and published by . This book was released on 1973 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a recent symposium, Hugo Sccolnik expressed some ideas leading to an algorithm which he thought might solve the linear programming problem in polynomial time. We examine the algorithm and find that it often fails to solve the linear programming problem, even in the special cases considered by Scolnik. We conclude that the algorithm probably cannot be modified to work properly.
Download or read book A New Polynomial Time Algorithm for Linear Programming written by N. Karmarkar and published by . This book was released on 198? with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Computational Investigation of a New Type of Polynomial time Linear Programming Algorithm written by Kanika Dhyani and published by . This book was released on 2004 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Very Simple Polynomial time Algorithm for Linear Programming written by Paul Tseng and published by . This book was released on 1988 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document proposes a polynomial-time algorithm for linear programming. This algorithm augments the objective by a logarithmic penalty function and then solves a sequence of quadratic approximations of this program. This algorithms has a complexity of iterations and arithmetic operations, where m is a number of variables and L is the size of the problem encoding in binary. This algorithm does not require knowledge of the optimal value and generates a sequence of primal (Dual) feasible solutions that converges to an optimal primal (dual) solution (the latter property provides a particularly simple stopping criterion). Moreover, this algorithm is simple and intuitive, both in the description and in the analysis - in contrast to existing polynomial-time algorithms. It works exclusively in the original space. Keywords: Karmarkar methods; Quadratic approximation; Logarithmic penalty functions. (KR).
Download or read book A New Trajectory Following Polynomial time Algorithm for the Linear Programming Problem written by C. Roos and published by . This book was released on 1987 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Interior point Polynomial Algorithms in Convex Programming written by Yurii Nesterov and published by SIAM. This book was released on 1994-01-01 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Specialists working in the areas of optimization, mathematical programming, or control theory will find this book invaluable for studying interior-point methods for linear and quadratic programming, polynomial-time methods for nonlinear convex programming, and efficient computational methods for control problems and variational inequalities. A background in linear algebra and mathematical programming is necessary to understand the book. The detailed proofs and lack of "numerical examples" might suggest that the book is of limited value to the reader interested in the practical aspects of convex optimization, but nothing could be further from the truth. An entire chapter is devoted to potential reduction methods precisely because of their great efficiency in practice.
Download or read book Some Computational Experiments with Scolnik s Linear Programming Approach written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1974 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this note the authors describe a reasonably efficient implementation of Scolnik's linear programming approach. The authors became interested in using the code to test the usefulness of this approach as a starting heuristic or 'crashing' technique, as the method is known to fail in general. The computational experience, however, leads the authors to believe that the method is too costly even for this modest objective.
Download or read book Government Reports Announcements written by and published by . This book was released on 1974 with total page 1000 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book POLYNOMIAL TIME ALGORITHMS FOR written by 朱紫君 and published by Open Dissertation Press. This book was released on 2017-01-27 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Polynomial Time Algorithms for Linear and Integer Programming" by 朱紫君, Chi-kwan, Chu, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. DOI: 10.5353/th_b3122430 Subjects: Algorithms Polynomials Linear programming Integer programming
Download or read book A Polynomial time Algorithm Based on Newton s Method for Linear Programming written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1986 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Simple Polynomial Time Algorithm for a Convex Hull Problem Equivalent to Linear Programming written by Rutgers University. Laboratory for Computer Science Research and published by . This book was released on 1993 with total page 9 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Over the rationals, the general linear programming problem is equivalent to the convex hull problem of determining if a given m x n matrix H has a nontrivial nonnegative zero. We give a polynomial time algorithm that either finds a nontrivial nonnegative zero of H, or it obtains a hyperplane separating the column vectors of H from the origin. In particular, the algorithm provides an alternate proof of a strengthened version of Gordan's duality theorem, previously proved by the author. The algorithm which is motivated by this duality theorem is analogous to Karmarkar's algorithm but its analysis is much simpler."
Download or read book Polynomial time Algorithms for Linear Programming Based Only on Primal Scaling and Projected Gradients of a Potential Function written by Robert Michael Freund and published by . This book was released on 1988 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Linear Optimization and Extensions written by Manfred Padberg and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Do you know M.Padberg's Linear Optimization and Extensions? [...] Now here is the continuation of it, discussing the solutions of all its exercises and with detailed analysis of the applications mentioned. Tell your students about it. [...] For those who strive for good exercises and case studies for LP this is an excellent volume." Acta Scientiarum Mathematicarum
Download or read book Linear Optimization and Extensions written by Dimitris Alevras and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Books on a technical topic - like linear programming - without exercises ignore the principal beneficiary of the endeavor of writing a book, namely the student - who learns best by doing course. Books with exercises - if they are challenging or at least to some extent so exercises, of - need a solutions manual so that students can have recourse to it when they need it. Here we give solutions to all exercises and case studies of M. Padberg's Linear Optimization and Exten sions (second edition, Springer-Verlag, Berlin, 1999). In addition we have included several new exercises and taken the opportunity to correct and change some of the exercises of the book. Here and in the main text of the present volume the terms "book", "text" etc. designate the second edition of Padberg's LPbook and the page and formula references refer to that edition as well. All new and changed exercises are marked by a star * in this volume. The changes that we have made in the original exercises are inconsequential for the main part of the original text where several ofthe exercises (especiallyin Chapter 9) are used on several occasions in the proof arguments. None of the exercises that are used in the estimations, etc. have been changed.
Download or read book A polynomial time algorithm for solving systems of linear inequalities with two variables per inequality written by Stanford University. Computer Science Department and published by . This book was released on 1979 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present a constructive algorithm for solving systems of linear inequalities (LI) with at most two variables per inequality. The algorithm is polynomial in the size of the input. The LI problem is of importance in complexity theory since it is polynomial time equivalent to linear programming. The subclass of LI treated in this paper is also of practical interest in mechanical verification systems, and we believe that the ideas presented can be extended to the general LI problem. (Author).
Download or read book The Simplex Algorithm for Linear Programming is of Polynomial Complexity written by Roger N. Pederson and published by . This book was released on 1996 with total page 3 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Polynomial Algorithms for Linear Programming written by Michael J. Todd and published by . This book was released on 1986 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
