On Efficient Solutions to Multiple Objective Mathematical Programs

T. J. Lowe, Jacques Thisse, J. E. Ward and R. E. Wendell
Additional contact information
T. J. Lowe: Krannert Graduate School of Management, Purdue University, West Lafayette, Indiana 47907
J. E. Ward: Krannert Graduate School of Management, Purdue University, West Lafayette, Indiana 47907
R. E. Wendell: Graduate School of Business, University of Pittsburgh, Pittsburgh, Pennsylvania 15260

Management Science, 1984, vol. 30, issue 11, 1346-1349

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.

Keywords: efficient solutions; mathematical programming; multiple objectives (search for similar items in EconPapers)
Date: 1984
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Citations: View citations in EconPapers (10)

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Working Paper: On efficient solutions to multiple objective mathematical programs (1984)
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:30:y:1984:i:11:p:1346-1349

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