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math.OC2007★ 2 cited
Short Rational Generating Functions For Multiobjective Linear Integer Programming
Victor Blanco, Justo Puerto
This paper presents algorithms for solving multiobjective integer programming problems. The algorithm uses Barvinok's rational functions of the polytope that defines the feasible r…
math.OC2007★ 1 cited
Partial Gröbner bases for multiobjective integer linear optimization
Victor Blanco, Justo Puerto
In this paper we present a new methodology for solving multiobjective integer linear programs using tools from algebraic geometry. We introduce the concept of partial Gröbner basis…