Title :
Goal Programming, Method of Weighted Residuals, and Optimal Control Problems
Author_Institution :
Operational Research and Analysis Establishment, Department of National Defense, Ottawa, ON, Canada and the Faculty of Administration, University of Ottawa, 275 Nicholas Street, Ottawa, ON, Canada K1N 6N5
Abstract :
The feasibility of utilizing goal programming, a management science originated technique, in solving optimal control problems is investigated. The basic idea is to recast the problem in a pre-emptive goal programming model via the use of hard and soft constraints (or stiff and weak springs) in linear programming (or mechanics). It is found that the goal programming technique for solving the optimal control problem is fundamentally more general than the method of weighted residuals. An example is included to illustrate the methodology.
Keywords :
Councils; Electric variables control; Electromagnetic fields; Fluid dynamics; Linear programming; Nonlinear equations; Optimal control; Polynomials; Solids; Springs;
Journal_Title :
Systems, Man and Cybernetics, IEEE Transactions on
DOI :
10.1109/TSMC.1987.289338
