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MP
2006
121views more  MP 2006»
14 years 9 months ago
Approximate fixed-rank closures of covering problems
Consider a 0/1 integer program min{cT x : Ax b, x {0, 1}n } where A is nonnegative. We show that if the number of minimal covers of Ax b is polynomially bounded, then there is ...
Daniel Bienstock, Mark Zuckerberg
MP
2006
93views more  MP 2006»
14 years 9 months ago
Computation of Error Bounds for P-matrix Linear Complementarity Problems
Abstract We give new error bounds for the linear complementarity problem where the involved matrix is a P-matrix. Computation of rigorous error bounds can be turned into a P-matrix...
Xiaojun Chen, Shuhuang Xiang
MP
2006
116views more  MP 2006»
14 years 9 months ago
Formulations and Valid Inequalities for the Heterogeneous Vehicle Routing Problem
We consider the vehicle routing problem where one can choose among vehicles with different costs and capacities to serve the trips. We develop six different formulations: the first...
Hande Yaman
MP
2002
85views more  MP 2002»
14 years 9 months ago
Generalized Goal Programming: polynomial methods and applications
In this paper we address a general Goal Programming problem with linear objectives, convex constraints, and an arbitrary componentwise nondecreasing norm to aggregate deviations w...
Emilio Carrizosa, Jörg Fliege
68
Voted
MP
1998
83views more  MP 1998»
14 years 9 months ago
A modified layered-step interior-point algorithm for linear programming
The layered-step interior-point algorithm was introduced by Vavasis and Ye. The algorithm accelerates the path following interior-point algorithm and its arithmetic complexity dep...
Nimrod Megiddo, Shinji Mizuno, Takashi Tsuchiya