Global minimization of constrained problems with discontinuous penalty functions

Quan Zheng; Liansheng Zhang

doi:10.1016/s0898-1221(99)00058-9

Global minimization of constrained problems with discontinuous penalty functions

Quan Zheng^*, Liansheng Zhang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

With the integral approach to global optimization, a class of discontinuous penalty functions is proposed to solve constrained minimization problems. Optimality conditions of a penalized minimization problem are generalized to a discontinuous case; necessary and sufficient conditions for an exact penalty function are examined; a nonsequential algorithm is proposed. Numerical examples are given to illustrate the effectiveness of the algorithm.

Original language	English
Pages (from-to)	41-58
Number of pages	18
Journal	Computers and Mathematics with Applications
Volume	37
Issue number	4-5
DOIs	https://doi.org/10.1016/s0898-1221(99)00058-9
Publication status	Published - 1999
Externally published	Yes

Keywords

Discontinuous penalty functions
Integral global minimization
Robust sets and functions

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10.1016/s0898-1221(99)00058-9

Cite this

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abstract = "With the integral approach to global optimization, a class of discontinuous penalty functions is proposed to solve constrained minimization problems. Optimality conditions of a penalized minimization problem are generalized to a discontinuous case; necessary and sufficient conditions for an exact penalty function are examined; a nonsequential algorithm is proposed. Numerical examples are given to illustrate the effectiveness of the algorithm.",

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T1 - Global minimization of constrained problems with discontinuous penalty functions

AU - Zheng, Quan

AU - Zhang, Liansheng

PY - 1999

Y1 - 1999

N2 - With the integral approach to global optimization, a class of discontinuous penalty functions is proposed to solve constrained minimization problems. Optimality conditions of a penalized minimization problem are generalized to a discontinuous case; necessary and sufficient conditions for an exact penalty function are examined; a nonsequential algorithm is proposed. Numerical examples are given to illustrate the effectiveness of the algorithm.

AB - With the integral approach to global optimization, a class of discontinuous penalty functions is proposed to solve constrained minimization problems. Optimality conditions of a penalized minimization problem are generalized to a discontinuous case; necessary and sufficient conditions for an exact penalty function are examined; a nonsequential algorithm is proposed. Numerical examples are given to illustrate the effectiveness of the algorithm.

KW - Discontinuous penalty functions

KW - Integral global minimization

KW - Robust sets and functions

UR - http://www.scopus.com/inward/record.url?scp=0033076049&partnerID=8YFLogxK

U2 - 10.1016/s0898-1221(99)00058-9

DO - 10.1016/s0898-1221(99)00058-9

M3 - Article

AN - SCOPUS:0033076049

SN - 0898-1221

VL - 37

SP - 41

EP - 58

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 4-5

ER -

Global minimization of constrained problems with discontinuous penalty functions

Abstract

Keywords

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