Constraint-based Optimization with the Minimax Decision Criterion

Craig Boutilier
Department of Computer Science
University of Toronto
Toronto, ON M5S 3H5
email: cebly@cs.toronto.edu

Relu Patrascu
Dept. of Computer Science
University of Waterloo
Waterloo, ON, N2L 3G1
email: rpatrasc@cs.uwaterloo.ca

Pascal Poupart
Department of Computer Science
University of Toronto
Toronto, ON M5S 3H5
email: ppoupart@cs.toronto.edu

Dale Schuurmans
Dept. of Computer Science
University of Waterloo
Waterloo, ON, N2L 3G1
email: dale@cs.uwaterloo.ca

Abstract
In many situations, a set of hard constraints encodes the feasible configurations of some system or product over which users have preferences. We consider the problem of computing a best feasible solution when the user's utilities are partially known. Assuming bounds on utilities, efficient mixed integer linear programs are devised to compute the solution with minimax regret while exploiting generalized additive structure in a user's utility function.

To appear, CP2003

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