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Substitute Inverse For The Basis Of A Staircase Structure Linear Program
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Book Synopsis Solving staircase linear programs by the simplex method, 1: inversion by : Stanford University. Systems Optimization Laboratory
Download or read book Solving staircase linear programs by the simplex method, 1: inversion written by Stanford University. Systems Optimization Laboratory and published by . This book was released on 1979 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems of economic planning, production scheduling, inventory, transportation, control and multi-stage structural design have been modeled as linear programs that have a 'staircase' structure: their activities fall into a sequence of disjoint stages or periods, while their constraints relate only successive periods. At one time it was hoped that staircase linear programs would be particularly easy to solve, owing to their special structure, but experience with the most common solution technique -- the general simplex method -- has shown otherwise. Over the years many alternatives to the simplex method have also been proposed, but as yet none of these has been proved superior in solving a wide variety of staircase problems. This and a companion paper consider how the modern simplex method -- as implemented for large computers -- may be adapted to solve staircase linear programs more efficiently. Each paper looks at a set of algorithms within the simplex method: this one deals with 'inversion' of the basis -- more accurately, solution of linear systems by Gaussian elimination -- and its successor considers the task of 'pricing'.
Book Synopsis Mathematics of Operations Research by :
Download or read book Mathematics of Operations Research written by and published by . This book was released on 1980 with total page 640 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 1990 with total page 1002 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Nested Decomposition Approach for Solving Staircase Linear Programs by : Stanford University. Systems Optimization Laboratory
Download or read book A Nested Decomposition Approach for Solving Staircase Linear Programs written by Stanford University. Systems Optimization Laboratory and published by . This book was released on 1983 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Stanford University. Department of Operations Research. Systems Optimization Laboratory Publisher : ISBN 13 : Total Pages :116 pages Book Rating :4.F/5 ( download)
Book Synopsis Basis Factorization Method for Block Triangular Linear Programs by : Stanford University. Department of Operations Research. Systems Optimization Laboratory
Download or read book Basis Factorization Method for Block Triangular Linear Programs written by Stanford University. Department of Operations Research. Systems Optimization Laboratory and published by . This book was released on 1978 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-staged and multi-staged linear programs usually have a structure that is block triangular. Basic solutions to such problems typically have the property that similar type activities persist in the basis over several consecutive time-periods. When this occurs the basis is close to being square block triangular. In 1955 Dantzig suggested a way of factorizing the basis to take advantage of this property. This paper discusses persistence in staircase models and then presents a considerable refinement of the above factorization algorithm. The method has been implemented in an experimental code, with use being made of LU and QR factorization and updating techniques for the solution of small sub-systems of equations. An in-depth analysis is made of the work involved, and computational experience on several dynamic models is reported. (Author).
Book Synopsis Sparse Matrix Proceedings, 1978 by : Iain S. Duff
Download or read book Sparse Matrix Proceedings, 1978 written by Iain S. Duff and published by SIAM. This book was released on 1979-01-01 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Computer Arithmetic, Algebra, OOP.
Book Synopsis Solution Formulas for Dynamic Linear Optimization Problems by : Ronald Edward Davis
Download or read book Solution Formulas for Dynamic Linear Optimization Problems written by Ronald Edward Davis and published by . This book was released on 1979 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Large-scale Linear Programming by : George Bernard Dantzig
Download or read book Large-scale Linear Programming written by George Bernard Dantzig and published by . This book was released on 1981 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microreproduction of the edition issued by the same publisher, 1971?
Download or read book Mathematical Programming Study written by and published by . This book was released on 1985 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Programming by : Richard Cottle
Download or read book Mathematical Programming written by Richard Cottle and published by . This book was released on 1985 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Optimisation of Dynamic Systems by : Laurence Charles Ward Dixon
Download or read book Numerical Optimisation of Dynamic Systems written by Laurence Charles Ward Dixon and published by North Holland. This book was released on 1980 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis R & D Abstracts by : Technology Reports Centre (Great Britain)
Download or read book R & D Abstracts written by Technology Reports Centre (Great Britain) and published by . This book was released on 1977 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2001 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis TIMS/ORSA Bulletin by : Institute of Management Sciences
Download or read book TIMS/ORSA Bulletin written by Institute of Management Sciences and published by . This book was released on 1978 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Management Science written by and published by . This book was released on 2000-05 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues for Feb. 1965-Aug. 1967 include Bulletin of the Institute of Management Sciences.
Download or read book The OR/MS Index written by and published by . This book was released on 1976 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government Reports Announcements & Index by :
Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1985 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: