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» Watermarking integer linear programming solutions
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MP
2011
14 years 4 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
15 years 1 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»
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
EUSFLAT
2007
124views Fuzzy Logic» more  EUSFLAT 2007»
14 years 10 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»
14 years 9 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