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 | |
| Publication status | Published - 1999 |
| Externally published | Yes |
Keywords
- Discontinuous penalty functions
- Integral global minimization
- Robust sets and functions
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Zheng, Q., & Zhang, L. (1999). Global minimization of constrained problems with discontinuous penalty functions. Computers and Mathematics with Applications, 37(4-5), 41-58. https://doi.org/10.1016/s0898-1221(99)00058-9