Journal article
On Efficient Solutions to Multiple Objective Mathematical Programs
Management science, Vol.30(11), pp.1346-1349
11/01/1984
DOI: 10.1287/mnsc.30.11.1346
Abstract
This note develops properties of quasi-efficient solutions and explores interrelationships to the classical concept of efficiency. In particular, a point is a quasi-efficient solution to a multiple objective mathematical program if and only if it is an optimal solution to a scalar maximum problem for some set of nonnegative weights on the objectives. This result is then used to characterize the set of quasi-efficient solutions as the union of efficient solutions to a multiple objective problem over all nonempty subsets of the objectives.
Details
- Title: Subtitle
- On Efficient Solutions to Multiple Objective Mathematical Programs
- Creators
- T. J. Lowe - Purdue University West LafayetteJ.-F. Thisse - UCLouvainJ. E. Ward - Purdue University West LafayetteR. E. Wendell - University of Pittsburgh
- Resource Type
- Journal article
- Publication Details
- Management science, Vol.30(11), pp.1346-1349
- DOI
- 10.1287/mnsc.30.11.1346
- ISSN
- 0025-1909
- eISSN
- 1526-5501
- Number of pages
- 4
- Language
- English
- Date published
- 11/01/1984
- Academic Unit
- Business Analytics
- Record Identifier
- 9984963221802771
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