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MP
2007
95views more  MP 2007»
14 years 9 months ago
Smoothed analysis of integer programming
We present a probabilistic analysis of integer linear programs (ILPs). More specifically, we study ILPs in a so-called smoothed analysis in which it is assumed that first an adve...
Heiko Röglin, Berthold Vöcking
MP
2010
81views more  MP 2010»
14 years 8 months ago
Lifting inequalities: a framework for generating strong cuts for nonlinear programs
In this paper, we propose lifting techniques for generating strong cuts for nonlinear programs that are globally-valid. The theory is geometric and provides intuition into lifting...
Jean-Philippe P. Richard, Mohit Tawarmalani
MP
2010
149views more  MP 2010»
14 years 8 months ago
Copositive programming motivated bounds on the stability and the chromatic numbers
The Lov´asz theta number of a graph G can be viewed as a semidefinite programming relaxation of the stability number of G. It has recently been shown that a copositive strengthe...
Igor Dukanovic, Franz Rendl
MP
2010
116views more  MP 2010»
14 years 8 months ago
New techniques for cost sharing in combinatorial optimization games
Combinatorial optimization games form an important subclass of cooperative games. In recent years, increased attention has been given to the issue of finding good cost shares for...
Alberto Caprara, Adam N. Letchford
MP
2010
162views more  MP 2010»
14 years 8 months ago
Approximation accuracy, gradient methods, and error bound for structured convex optimization
Convex optimization problems arising in applications, possibly as approximations of intractable problems, are often structured and large scale. When the data are noisy, it is of i...
Paul Tseng