A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems

H. D. Chiang; C. C. Chu

doi:10.1109/ANN.1993.264304

A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems

H. D. Chiang
, C. C. Chu

Cornell University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993
Editors	Y. Tamura, H. Suzuki, H. Mori
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	467-474
Number of pages	8
ISBN (Electronic)	0780312171, 9780780312173
DOIs	https://doi.org/10.1109/ANN.1993.264304
State	Published - 1993
Externally published	Yes
Event	2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993 - Yokohama, Japan Duration: 19 04 1993 → 22 04 1993

Publication series

Name	Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993

Conference

Conference	2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993
Country/Territory	Japan
City	Yokohama
Period	19/04/93 → 22/04/93

Bibliographical note

Publisher Copyright:
© 1993 IEEE.

Access to Document

10.1109/ANN.1993.264304

Cite this

Chiang, H. D., & Chu, C. C. (1993). A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems. In Y. Tamura, H. Suzuki, & H. Mori (Eds.), Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993 (pp. 467-474). Article 264304 (Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ANN.1993.264304

Chiang, H. D. ; Chu, C. C. / A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems. Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993. editor / Y. Tamura ; H. Suzuki ; H. Mori. Institute of Electrical and Electronics Engineers Inc., 1993. pp. 467-474 (Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993).

@inproceedings{2cf5cfe69b474532ab483d67dfa5b8f0,

title = "A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems",

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.",

author = "Chiang, \{H. D.\} and Chu, \{C. C.\}",

note = "Publisher Copyright: {\textcopyright} 1993 IEEE.; 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993 ; Conference date: 19-04-1993 Through 22-04-1993",

year = "1993",

doi = "10.1109/ANN.1993.264304",

language = "英语",

series = "Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "467--474",

editor = "Y. Tamura and H. Suzuki and H. Mori",

booktitle = "Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993",

address = "美国",

}

Chiang, HD & Chu, CC 1993, A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems. in Y Tamura, H Suzuki & H Mori (eds), Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993., 264304, Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993, Institute of Electrical and Electronics Engineers Inc., pp. 467-474, 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993, Yokohama, Japan, 19/04/93. https://doi.org/10.1109/ANN.1993.264304

A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems. / Chiang, H. D.; Chu, C. C.
Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993. ed. / Y. Tamura; H. Suzuki; H. Mori. Institute of Electrical and Electronics Engineers Inc., 1993. p. 467-474 264304 (Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems

AU - Chiang, H. D.

AU - Chu, C. C.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85064061230

U2 - 10.1109/ANN.1993.264304

DO - 10.1109/ANN.1993.264304

M3 - 会议稿件

AN - SCOPUS:85064061230

T3 - Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993

SP - 467

EP - 474

BT - Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993

A2 - Tamura, Y.

A2 - Suzuki, H.

A2 - Mori, H.

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993

Y2 - 19 April 1993 through 22 April 1993

ER -

Chiang HD, Chu CC. A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems. In Tamura Y, Suzuki H, Mori H, editors, Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993. Institute of Electrical and Electronics Engineers Inc. 1993. p. 467-474. 264304. (Proceedings of the 2nd International Forum on Applications of Neural Networks to Power Systems, ANNPS 1993). doi: 10.1109/ANN.1993.264304

A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems

Abstract

Publication series

Conference

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this