Weighting in compromise programming: A theorem on shadow prices. (English) Zbl 0789.90046
Summary: This paper attempts to justify a weighting system proposed as a normalizer in the literature by proving that weights inversely proportional to the ideal are good shadow prices in economic scenarios.
MSC:
| 90B50 | Management decision making, including multiple objectives |
| 91B24 | Microeconomic theory (price theory and economic markets) |
References:
| [1] | Ballestero, E.; Romero, C., A theorem connecting utility function optimization and compromise programming, Oper. Res. Lett., 10, 421-427 (1991) · Zbl 0755.90049 |
| [2] | Baumol, W. J.; Quandt, R. E., Dual prices and competition, (Archibald, G. C., The Theory of the Firm (1971), Penguin Books: Penguin Books New York), 422-447 |
| [3] | Goicoechea, A.; Hansen, D. R.; Duckstein, L., Multiobjective Decision Analysis with Engineering and Business Applications (1982), John Wiley and Sons: John Wiley and Sons New York · Zbl 0584.90045 |
| [4] | Romero, C., (Handbook of Critical Issues in Goal Programming (1991), Pergamon Press: Pergamon Press Oxford) · Zbl 0817.68034 |
| [5] | Yu, P. L., Multiple-Criteria Decision Making. Concepts, Techniques and Extensions (1985), Plenum Press: Plenum Press New York · Zbl 0643.90045 |
| [6] | Zeleny, M., Multiple Criteria Decision Making (1982), McGraw Hill: McGraw Hill New York · Zbl 0588.90019 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
