Hwj. Lee et al., AN OPTIMAL-CONTROL APPROACH TO NONLINEAR MIXED-INTEGER PROGRAMMING-PROBLEMS, Computers & mathematics with applications (1987), 36(3), 1998, pp. 87-105
Motivated by the recent developments of the Control Parametrization En
hancing Technique (CPET), a novel method for solving a general class o
f nonlinear mixed integer programming problems is introduced in this p
aper. By imposing appropriate dynamics as well as a set of statistical
variance type of functional constraints, a problem with mixed integer
decision variables is first transformed into a discrete-valued optima
l control problem, and then transformed, by applying CPET, into a stan
dard optimization problem involving only continuous values. (C) 1998 E
lsevier Science Ltd. All rights reserved.