| bibtype |
J -
Journal Article
|
| ARLID |
0336815 |
| utime |
20240103192844.6 |
| mtime |
20100118235959.9 |
| WOS |
000273924100037 |
| DOI |
10.1016/j.na.2009.10.047 |
| title
(primary) (eng) |
Exact penalty results for mathematical programs with vanishing constraints |
| specification |
|
| serial |
| ARLID |
cav_un_epca*0257331 |
| ISSN |
0362-546X |
| title
|
Nonlinear Analysis: Theory, Methods & Applications |
| volume_id |
72 |
| volume |
5 (2010) |
| page_num |
2514-2526 |
| publisher |
|
|
| title
(cze) |
Využití přesných pokutových funkcí u matematických úloh s mizícími omezeními |
| keyword |
Mathematical programs with vanishing constraints |
| keyword |
Mathematical programs with equilibrium constraints |
| keyword |
Exact penalization |
| keyword |
Calmness |
| keyword |
Subdifferential calculus |
| keyword |
Limiting normal cone |
| author
(primary) |
| ARLID |
cav_un_auth*0258931 |
| name1 |
Hoheisel |
| name2 |
T. |
| country |
DE |
|
| author
|
| ARLID |
cav_un_auth*0021120 |
| name1 |
Kanzow |
| name2 |
Ch. |
| country |
DE |
|
| author
|
| ARLID |
cav_un_auth*0101173 |
| name1 |
Outrata |
| name2 |
Jiří |
| full_dept (cz) |
Matematická teorie rozhodování |
| full_dept |
Department of Decision Making Theory |
| department (cz) |
MTR |
| department |
MTR |
| institution |
UTIA-B |
| full_dept |
Department of Decision Making Theory |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| project |
| project_id |
IAA100750802 |
| agency |
GA AV ČR |
| ARLID |
cav_un_auth*0241214 |
|
| research |
CEZ:AV0Z10750506 |
| abstract
(eng) |
A mathematical program with vanishing constraints (MPVC) is a constrained optimization problem arising in certain engineering applications. The feasible set has a complicated structure so that the most familiar constraint qualifications are usually violated. This, in turn, implies that standard penalty functions are typically non-exact for MPVCs. We therefore develop a new MPVC-tailored penalty function which is shown to be exact under reasonable assumptions. This new penalty function can then be used to derive (or recover) suitable optimality conditions for MPVCs. |
| abstract
(cze) |
Matematická úloha s mizícími omezeními (MPVC) je optimalizační úloha s omezeními, která se často objevuje v inženýrských aplikacích. Množina přípustných bodů má složitou strukturu a proto jsou také obvyklé podmínky regularity omezení často porušeny. To také znamená, že klasické pokutové funkce jsou typicky nepřesné pro úlohy MPVC. Proto jsme vyvynuli novou, pro tvar úloh MPVC specifickou pokutovou funkci, která, jak ukazujeme, je za přijatelných podmínek přesná. Tuto novou pokutovou funkci lze použít k odvození vhodných podmínek optimálnosti pro úlohy MPVC. |
| reportyear |
2010 |
| RIV |
BA |
| num_of_auth |
3 |
| permalink |
http://hdl.handle.net/11104/0180967 |
| mrcbT16-e |
MATHEMATICS|MATHEMATICSAPPLIED |
| mrcbT16-f |
1.409 |
| mrcbT16-g |
0.348 |
| mrcbT16-h |
5.6 |
| mrcbT16-i |
0.03575 |
| mrcbT16-j |
0.565 |
| mrcbT16-k |
9265 |
| mrcbT16-l |
764 |
| mrcbT16-q |
62 |
| mrcbT16-s |
1.286 |
| mrcbT16-y |
21.94 |
| mrcbT16-x |
1.28 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
41.205 |
| mrcbT16-C |
84.731 |
| mrcbT16-D |
Q3 |
| mrcbT16-E |
Q1 |
| arlyear |
2010 |
| mrcbU34 |
000273924100037 WOS |
| mrcbU63 |
cav_un_epca*0257331 Nonlinear Analysis: Theory, Methods & Applications 0362-546X 1873-5215 Roč. 72 č. 5 2010 2514 2526 Elsevier |
|