On derivative based bounding for simplicial branch and bound
Simplicial based Global Optimization branch and bound methods require tight bounds on the objective function value. Recently, a renewed interest appears on bound calculation based on Interval Arithmetic by Karhbet and Kearfott [Reliable Comput. 25 (2017) 53-73] and on exploiting second derivative bo...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
2021
|
| Sorozat: | RAIRO-OPERATIONS RESEARCH
55 No. 3 |
| Tárgyszavak: | |
| doi: | 10.1051/ro/2021081 |
| mtmt: | 32114797 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/36648 |
| Tartalmi kivonat: | Simplicial based Global Optimization branch and bound methods require tight bounds on the objective function value. Recently, a renewed interest appears on bound calculation based on Interval Arithmetic by Karhbet and Kearfott [Reliable Comput. 25 (2017) 53-73] and on exploiting second derivative bounds by Mohand [RAIRO Oper. Res. 55 (2021) S2373-S238]. The investigated question here is how partial derivative ranges can be used to provide bounds of the objective function value over the simplex. Moreover, we provide theoretical properties of how this information can be used from a monotonicity perspective to reduce the search space in simplicial branch and bound. © The authors. Published by EDP Sciences, ROADEF, SMAI 2021. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 2023-2034 |
| ISSN: | 0399-0559 |