Defense Applications of Mathematical Programs with Optimization Problems in the Constraints

Theory, computation, and an example of mathematical programming models with optimization problems in the constraints have been discussed in a previous paper [1]. A computer program for solving mathematical programming models with nonlinear programs in the constraints has been presented in a subsequent paper [2], A procedure for transforming mathematical programs with two-sided optimization problems in the constraints into mathematical programs with nonlinear programs in the constraints, enabling solution by the computer program of [2], has been given in r 3]. The present paper formulates models of defense problems which are convex programs having the mathematical properties treated in the previous papers. The models include several strategic forces planning models and two general purpose forces planning models.