| Title:
|
Two characterizations of Pareto minima in convex multicriteria optimization (English) |
| Author:
|
Zlobec, Sanjo |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
29 |
| Issue:
|
5 |
| Year:
|
1984 |
| Pages:
|
342-349 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
Two conditions are given each of which is both necessary and sufficient for a point to be a global Pareto minimum. The first one is obtained by studying programs where each criterion appears as a single objective function, while the second one is given in terms of a "restricted Lagrangian". The conditions are compared with the familiar characterizations of properly efficient and weakly efficient points of Karlin and Geoffrion. (English) |
| Keyword:
|
optimality conditions |
| Keyword:
|
properly efficient point |
| Keyword:
|
weakly efficient point |
| Keyword:
|
characterization of optimality |
| Keyword:
|
convex multicriteria optimization |
| Keyword:
|
global Pareto minimum |
| Keyword:
|
restricted Lagrangian |
| MSC:
|
90C25 |
| MSC:
|
90C31 |
| idZBL:
|
Zbl 0549.90085 |
| idMR:
|
MR0772269 |
| DOI:
|
10.21136/AM.1984.104104 |
| . |
| Date available:
|
2008-05-20T18:25:41Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104104 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
