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» Watermarking integer linear programming solutions
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MP
2011
13 years 2 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
CP
2006
Springer
13 years 11 months ago
Approximability of Integer Programming with Generalised Constraints
We study a family of problems, called Maximum Solution, where the objective is to maximise a linear goal function over the feasible integer assignments to a set of variables subjec...
Peter Jonsson, Fredrik Kuivinen, Gustav Nordh
MP
2007
95views more  MP 2007»
13 years 7 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
EUSFLAT
2007
124views Fuzzy Logic» more  EUSFLAT 2007»
13 years 9 months ago
Mixed Integer Programming, General Concept Inclusions and Fuzzy Description Logics
Fuzzy Description Logics (fuzzy DLs) have been proposed as a language to describe structured knowledge with vague concepts. In [23], a solution based on Mixed Integer Linear Progr...
Umberto Straccia, Fernando Bobillo
ORL
2008
111views more  ORL 2008»
13 years 7 months ago
Certificates of linear mixed integer infeasibility
A central result in the theory of integer optimization states that a system of linear diophantine equations Ax = b has no integral solution if and only if there exists a vector in...
Kent Andersen, Quentin Louveaux, Robert Weismantel