Journal
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH
Volume 126, Issue 3, Pages 541-556Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/S0377-2217(99)00309-4
Keywords
multiobjective optimisation; minimax formulation; reference point approach; goal programming; computer aided design
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In multiobjective optimisation, one of the most common ways of describing the decision maker's preferences is to assign targeted values (goals) to conflicting objectives as well as relative weights and priority levels for attaining the goals. In linear and convex decision situations, traditional goal programming provides a pragmatic and flexible manner to cater for the above preferences. In certain real world decision situations, however, multiobjective optimisation problems are non-convex. In this paper, a minimax reference point approach is developed which is capable of handling the above preferences in non-convex cases. The approach is based on oc-norm formulation and can accommodate both preemptive and non-preemptive goal programming. A strongly non-linear multiobjective ship design model is presented and fully examined using the new approach. This simulation study is aimed to illustrate the implementation procedures of the approach and to demonstrate its potential application to general multiobjective optimisation problems. (C) 2000 Elsevier Science B.V. All rights reserved.
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