| Title:
|
Multiobjective De Novo Linear Programming (English) |
| Author:
|
Fiala, Petr |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
50 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
29-36 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Mathematical programming under multiple objectives has emerged as a powerful tool to assist in the process of searching for decisions which best satisfy a multitude of conflicting objectives. In multiobjective linear programming problems it is usually impossible to optimize all objectives in a given system. Trade-offs are properties of inadequately designed system a thus can be eliminated through designing better one. Multiobjective De Novo linear programming is problem for designing optimal system by reshaping the feasible set. The paper presents approaches for solving the MODNLP problem, extensions of the problem, examples, and applications. (English) |
| Keyword:
|
De Novo programming |
| Keyword:
|
multiple objectives |
| Keyword:
|
linear programming |
| Keyword:
|
trade-offs |
| MSC:
|
90C29 |
| idZBL:
|
Zbl 1244.90207 |
| idMR:
|
MR2920706 |
| . |
| Date available:
|
2011-12-16T14:44:48Z |
| Last updated:
|
2013-09-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141751 |
| . |
| Reference:
|
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| Reference:
|
[2] Fiala, P.: Modely a metody rozhodování. Economia, Praha, 2008. |
| Reference:
|
[3] Li, R. J., Lee, E. S.: Fuzzy Approaches to Multicriteria De Novo Programs. Journal of Mathematical Analysis and Applications 153 (1990), 13–20. Zbl 0719.90092, MR 1080121 |
| Reference:
|
[4] Shi, Y.: Studies on Optimum-Path Ratios in De Novo Programming Problems. Computers and Mathematics with Applications 29 (1995), 43–50. MR 1320848, 10.1016/0898-1221(94)00247-I |
| Reference:
|
[5] Zelený, M.: De Novo Programming. Ekonomicko-matematický obzor 26 (1990), 406–413. MR 1090438 |
| Reference:
|
[6] Zeleny, M.: Multiobjective Optimization, Systems Design and De Novo Programming. In: Zopounidis, C., Pardalos, P. M. (eds.): Handbook of Multicriteria Analysis, Springer, Berlin, 2010. |
| Reference:
|
[7] Zeleny, M.: Optimal Given System vs. Designing Optimal System: The De Novo Programming Approach. International Journal of General System 17 (1990), 295–307. 10.1080/03081079008935113 |
| Reference:
|
[8] Zhang, Y. M., Huang, G. H., Zhang, X. D.: Inexact de Novo programming for water resources systems planning. European Journal of Operational Research 199 (2009), 531–541. Zbl 1176.90333, MR 2533293, 10.1016/j.ejor.2008.11.019 |
| . |
