Title :
A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems
Author :
Chiang, Hsiao-Dong ; Chu, Chia-Chi
Author_Institution :
Sch. of Electr. Eng., Cornell Univ., Ithaca, NY, USA
Abstract :
The authors propose a systematic method to find several local minima for general nonlinear optimizatioin problems. They develop some analytical results for a quasi-gradient system and reflected gradient system and apply them to explore the topological aspects of the critical points of the objective function. By properly switching between a quasi-gradient system and a reflected gradient system, the proposed method can obtain a set of local minima.
Keywords :
nonlinear programming; search problems; critical points; local minima; nonlinear programming; objective function; quasi-gradient system; reflected gradient system; systematic search methods; topology; Design engineering; Load flow; NP-hard problem; Optimal control; Optimization methods; Power engineering and energy; Power engineering computing; Search methods; Simulated annealing; Stochastic processes;
Conference_Titel :
Neural Networks to Power Systems, 1993. ANNPS '93., Proceedings of the Second International Forum on Applications of
Conference_Location :
Yokohama, Japan
Print_ISBN :
0-7803-1217-1
DOI :
10.1109/ANN.1993.264304