New Reference-Neighbourhood Scalarization Problem for Multiobjective Integer Programming

Scalarization is a frequently used approach for finding efficient solutions that satisfy the preferences of the Decision Maker (DM) in multicriteria optimization. The applicability of a scalarization problem to solve integer multicriteria problems depends on the possibilities it provides for the dec...

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Bibliographic Details
Published in:Cybernetics and information technologies : CIT Vol. 13; no. 1; pp. 104 - 114
Main Authors: Genova, Krasimira, Kirilov, Leonid, Guljashki, Vasil
Format: Journal Article
Language:English
Published: Sofia De Gruyter Brill Sp. z o.o., Paradigm Publishing Services 01.01.2013
Subjects:
Computation
Criteria
Cybernetics
Decision making
Integer programming
Integers
Mathematical models
Optimization
ISSN:1311-9702, 1314-4081
Online Access:Get full text
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Summary:Scalarization is a frequently used approach for finding efficient solutions that satisfy the preferences of the Decision Maker (DM) in multicriteria optimization. The applicability of a scalarization problem to solve integer multicriteria problems depends on the possibilities it provides for the decrease of the computing complexity in finding optimal solutions of this class of problems. This paper presents a reference-neighbourhood scalarizing problem, possessing properties that make it particularly suitable for solving integer problems. One of the aims set in this development has also been the faster obtaining of desired criteria values, defined by the DM, requiring no additional information by him/her. An illustrative example demonstrates the features of this scalarizing problem.
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ISSN:1311-9702
1314-4081
DOI:10.2478/cait-2013-0010