A New Mixed Integer Formulation for the Maximum Regret Problem
H. Mausser and M. Laguna
International Transactions in Operational Research, vol. 5, no. 5, pp. 389-403
(1998)

Abstract
The minimax regret solution to a linear program with interval objective function coefficients
can be found using an algorithm that, at each iteration, solves a linear program to generate a
candidate solution and a mixed integer program to find the corresponding maximum regret. This
paper presents a new formulation for the latter problem that exploits the piecewise linear
structure of the cost coefficients. Computational results indicate that this yields a stronger
formulation than a previous approach reported in the literature.
