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A reference direction approach to multiple objective quadratic-linear programming

✍ Scribed by Pekka Korhonen; Guang Yuan Yu

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
624 KB
Volume
102
Category
Article
ISSN
0377-2217

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✦ Synopsis

In this paper, we propose an interactive procedure for solving multiple criteria problems with one quadratic objective, several linear objectives, and a set of linear constraints. The procedure is based on the use of reference directions and weighted sums. Reference directions for the linear functions, and weighted sums for combining the quadratic function with the linear ones are used as parameters to implement the free search of noodominated solutions. The idea leads to the parametric linear complementarity problem formulation. An approach to deal with this type of problems is given as well. The approach is illustrated with a numerical example.

πŸ“œ SIMILAR VOLUMES

A multiple objective linear programming
A multiple objective linear programming approach to power generation planning with demand-side management (DSM)
✍ AntΓ³nio G. Martins; Dulce Coelho; C. Henggeler Antunes; JoΓ£o ClΓ­maco πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 893 KB

The optimization of an economic indicator has traditionally been the sole objective function of mathematical programming models for power generation expansion planning. Recently, however, other evaluation aspects, such as environmental concerns, were also given an explicit role as objective function