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Linear programming

Known as: Linear programme, Linear programmers, LP problem 
Linear programming (LP) (also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a… 
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2007
Highly Cited
2007
  • Y. Rabani
  • Handbook of Approximation Algorithms and…
  • 2007
  • Corpus ID: 1124183
i=1 ajixi ≤ bj for 1 ≤ j ≤ m We can also minimize instead of maximize. The function ∑n i=1 cixi is known as the objective… 
Highly Cited
2005
Highly Cited
2005
  • E. Candès, T. Tao
  • IEEE Transactions on Information Theory
  • 2005
  • Corpus ID: 12605120
This paper considers a natural error correcting problem with real valued input/output. We wish to recover an input vector f/spl… 
Highly Cited
2004
Highly Cited
2004
(This article originally appeared in Management Science, April-July 1955, Volume 1, Numbers 3 and 4, pp. 197-206, published by… 
Highly Cited
1998
Highly Cited
1998
  • R. Vanderbei
  • Kluwer international series in operations…
  • 1998
  • Corpus ID: 119722553
Preface. Part 1: Basic Theory - The Simplex Method and Duality. 1. Introduction. 2. The Simplex Method. 3. Degeneracy. 4… 
Highly Cited
1984
Highly Cited
1984
We present a new polynomial-time algorithm for linear programming. In the worst case, the algorithm requiresO(n3.5L) arithmetic… 
Review
1984
Review
1984
This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both… 
Highly Cited
1981
Highly Cited
1981
 Formulation skills for problems as a deterministic linear mathematical model (linear programming, goal (multi-objective… 
Highly Cited
1977
Highly Cited
1977
One: Introduction.Two: Linear Algebra, Convex Analysis, and Polyhedral Sets.Three: The Simplex Method.Four: Starting Solution and… 
Highly Cited
1963
Highly Cited
1963
In real-world problems related to finance, business, and management, mathematicians and economists frequently encounter… 
Highly Cited
1960
Highly Cited
1960
A technique is presented for the decomposition of a linear program that permits the problem to be solved by alternate solutions…