The Forward-Backward Sweep Method is a numerical technique for solving optimal control problems. The technique is reviewed and a convergence theorem is proved for a basic type of optimal control problem. Examples illustrate the performance of the method.
Dedicated to Stephen Simons in honor of his 70th birthday. This paper concerns nonsmooth optimization problems involving operator constraints given by mappings on complete metric spaces with values in nonconvcx subsets of Banach spaces. We derive general first-order necessary optimality conditions for such problems expressed via certain constructions of… (More)
A general model for optimal location problems is given and the existence of solutions is proved under practical conditions. Conditions that all possible solutions must satisfy are given; these conditions form the basis of a method of finding solutions.