On Efficient Solutions to Multiple Objective Mathematical Programs
AbstractThis 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by INFORMS in its journal Management Science.
Volume (Year): 30 (1984)
Issue (Month): 11 (November)
efficient solutions; mathematical programming; multiple objectives;
Other versions of this item:
- Lowe, T.J. & Thisse, J.-F. & Ward, J.E. & Wendell, R.E., . "On efficient solutions to multiple objective mathematical programs," CORE Discussion Papers RP -600, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Nicolae Popovici & Matteo Rocca, 2010. "Pareto reducibility of vector variational inequalities," Economics and Quantitative Methods qf1004, Department of Economics, University of Insubria.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc).
If references are entirely missing, you can add them using this form.