Interactive Reference Point Procedure Based on the Conic Scalarizing Function

In multiobjective optimization methods, multiple conflicting objectives are typically converted into a single objective optimization problem with the help of scalarizing functions. The conic scalarizing function is a general characterization of Benson proper efficient solutions of non-convex multiob...

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Bibliographic Details
Published in:TheScientificWorld Vol. 2014; no. 2014; pp. 1 - 14
Main Author: Ustun, Ozden
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Publishing Corporation 01.01.2014
John Wiley & Sons, Inc
Wiley
Subjects:
Algorithms
Analysis
Classification
Computer Simulation
Economic models
Goal programming
Heuristic
Mathematical Concepts
Mathematical optimization
Methods
Models, Theoretical
Multiple criteria decision making
Numerical Analysis, Computer-Assisted
Objectives
Optimization techniques
Scalar functions
User-Computer Interface
ISSN:2356-6140, 1537-744X, 1537-744X
Online Access:Get full text
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Summary:In multiobjective optimization methods, multiple conflicting objectives are typically converted into a single objective optimization problem with the help of scalarizing functions. The conic scalarizing function is a general characterization of Benson proper efficient solutions of non-convex multiobjective problems in terms of saddle points of scalar Lagrangian functions. This approach preserves convexity. The conic scalarizing function, as a part of a posteriori or a priori methods, has successfully been applied to several real-life problems. In this paper, we propose a conic scalarizing function based interactive reference point procedure where the decision maker actively takes part in the solution process and directs the search according to her or his preferences. An algorithmic framework for the interactive solution of multiple objective optimization problems is presented and is utilized for solving some illustrative examples.
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Academic Editors: I. Ahmad, M. Ghatee, and G. Palubeckis
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/242803