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EOR
2011
106views more  EOR 2011»
13 years 3 months ago
Probability of unique integer solution to a system of linear equations
We consider a system of m linear equations in n variables Ax = d and give necessary and sufficient conditions for the existence of a unique solution to the system that is integer:...
O. L. Mangasarian, Benjamin Recht
MP
2011
13 years 6 months ago
An FPTAS for minimizing the product of two non-negative linear cost functions
We consider a quadratic programming (QP) problem (Π) of the form min xT Cx subject to Ax ≥ b where C ∈ Rn×n + , rank(C) = 1 and A ∈ Rm×n , b ∈ Rm . We present an FPTAS ...
Vineet Goyal, Latife Genç Kaya, R. Ravi
ANOR
2002
93views more  ANOR 2002»
13 years 11 months ago
Cutting and Surrogate Constraint Analysis for Improved Multidimensional Knapsack Solutions
We use surrogate analysis and constraint pairing in multidimensional knapsack problems to fix some variables to zero and to separate the rest into two groups
Maria A. Osorio, Fred Glover, Peter Hammer
ESA
2006
Springer
131views Algorithms» more  ESA 2006»
14 years 3 months ago
Finding Total Unimodularity in Optimization Problems Solved by Linear Programs
A popular approach in combinatorial optimization is to model problems as integer linear programs. Ideally, the relaxed linear program would have only integer solutions, which happ...
Christoph Dürr, Mathilde Hurand