Technical Note—The Equivalence of Two Mathematical Programs with Optimization Problems in the Constraints

Abstract

Bracken and McGill have recently studied two classes of mathematical programs with optimization problems in the constraints [Opns. Res. 21, 37–44 (1973)], the first class involving mathematical programs in the constraints and the second max-min problems there. They have also developed a computational technique and shown that it is effective in solving problems of the first class [Opns. Res. 22, 1097–1101 (1974)]. This note shows that the computational technique can be applied to problems of the apparently wider second class.