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» Linear Programming and Convex Hulls Made Easy
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86
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COMPGEOM
1991
ACM
15 years 2 months ago
A Pivoting Algorithm for Convex Hulls and Vertex Enumeration of Arrangements and Polyhedra
We present a new pivot-based algorithm which can be used with minor modification for the enumeration of the facets of the convex hull of a set of points, or for the enumeration o...
David Avis, Komei Fukuda
119
Voted
IOR
2011
133views more  IOR 2011»
14 years 5 months ago
Finite Disjunctive Programming Characterizations for General Mixed-Integer Linear Programs
In this paper, we give a finite disjunctive programming procedure to obtain the convex hull of general mixed-integer linear programs (MILP) with bounded integer variables. We prop...
Binyuan Chen, Simge Küçükyavuz, S...
COMPGEOM
2005
ACM
15 years 25 days ago
Multi-pass geometric algorithms
We initiate the study of exact geometric algorithms that require limited storage and make only a small number of passes over the input. Fundamental problems such as lowdimensional...
Timothy M. Chan, Eric Y. Chen
92
Voted
MP
2008
99views more  MP 2008»
14 years 10 months ago
Compact formulations as a union of polyhedra
We explore one method for finding the convex hull of certain mixed integer sets. The approach is to break up the original set into a small number of subsets, find a compact polyhed...
Michele Conforti, Laurence A. Wolsey