Results 201 to 210 of about 19,840 (247)
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2017
There are several ways to solve linear programs, but even after its invention in 1947 and the emergence of many new rivals, George B. Dantzig’s Simplex Algorithm stands out as the foremost method of all.
Richard W. Cottle, Mukund N. Thapa
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There are several ways to solve linear programs, but even after its invention in 1947 and the emergence of many new rivals, George B. Dantzig’s Simplex Algorithm stands out as the foremost method of all.
Richard W. Cottle, Mukund N. Thapa
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Hypercube implementation of the simplex algorithm
Proceedings of the third conference on Hypercube concurrent computers and applications -, 1988Large, sparse, linear systems of equations arise frequently when constructing mathematical models of natural phenomena. Most often, these linear systems are fully constrained and can be solved via direct or iterative techniques. However, one important problem class requires solutions to underconstrained linear systems that maximize some objective ...
Craig B. Stunkel, Daniel A. Reed
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2004
This chapter develops the theory of simplex method to solve linear programming problems. The other methods are slight variants of the simplex method known as big-M method and two phase method. In the end, we explain some difficulties which are encountered when simplex iterations are executed.
Harvir Singh Kasana, Krishna Dev Kumar
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This chapter develops the theory of simplex method to solve linear programming problems. The other methods are slight variants of the simplex method known as big-M method and two phase method. In the end, we explain some difficulties which are encountered when simplex iterations are executed.
Harvir Singh Kasana, Krishna Dev Kumar
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Pessimal algorithms and simplexity analysis
ACM SIGACT News, 1984The twin disciplines of Pessimal Algorithm Design and Simplexity Analysis are introduced and illustrated by means of representative ...
Andrei Z. Broder, Jorge Stolfi
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1996
Abstract Linear inequality systems were studied by Fourier, Motzkin and Farkas (see [14]) but only in the late 1940s did the work of Dantzig in the USA and Kantorovich in the former USSR make linear programming a leading research topic with wide ranging applications to problems of planning and scheduling as found in business, industry
István Maros, Gautam Mitra
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Abstract Linear inequality systems were studied by Fourier, Motzkin and Farkas (see [14]) but only in the late 1940s did the work of Dantzig in the USA and Kantorovich in the former USSR make linear programming a leading research topic with wide ranging applications to problems of planning and scheduling as found in business, industry
István Maros, Gautam Mitra
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HOMOTOPY SIMPLEX PIVOT ALGORITHM
Acta Mathematica Scientia, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Senlin, Liu, Shulin
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2009
Designed in 1947 by G. Dantzig, the Simplex Algorithm was the method of choice used to solve linear programs for decades. Though not a polynomial-time algorithm in the worst case, the Simplex Algorithm is remarkably fast in practice. Problems with thousands of variables and constraints are routinely solved by the Simplex Algorithm.
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Designed in 1947 by G. Dantzig, the Simplex Algorithm was the method of choice used to solve linear programs for decades. Though not a polynomial-time algorithm in the worst case, the Simplex Algorithm is remarkably fast in practice. Problems with thousands of variables and constraints are routinely solved by the Simplex Algorithm.
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1989
An algorithm is (roughly) a computational procedure or a sequence of instructions for solving a mathematical problem. The simplex algorithm, which we henceforth designate by SIMPLEX, is a pivoting algorithm for solving LP problems of a certain type. The procedure was invented by George B.
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An algorithm is (roughly) a computational procedure or a sequence of instructions for solving a mathematical problem. The simplex algorithm, which we henceforth designate by SIMPLEX, is a pivoting algorithm for solving LP problems of a certain type. The procedure was invented by George B.
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Visualization and teaching simplex algorithm
Proceedings 3rd IEEE International Conference on Advanced Technologies, 2004The teaching experience of the revised simplex method in matrix notation on the blackboard leads us to prepare a visualization alternative, useful for the constituting part of the education liturgy. According to our approach the educator does not spend anymore valuable time on boring calculations while the student understands complex mathematical ...
Vassilios Lazaridis +2 more
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A simplex genetic algorithm hybrid
Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97), 2002One of the main obstacles in applying genetic algorithms (GAs) to complex problems has been the high computational cost due to their slow convergence rate. To alleviate this difficulty, we developed a hybrid approach that combines a GA with a stochastic variant of the simplex method in function optimization. Our motivation for developing the stochastic
John Yen, Bogju Lee
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