Which efficient solution in multi objective programming problem should be taken?

Josip Matejaš (), Tunjo Perić () and Danijel Mlinarić ()
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Josip Matejaš: Faculty of Economics and Business Zagreb
Tunjo Perić: Faculty of Economics and Business Zagreb
Danijel Mlinarić: Faculty of Economics and Business Zagreb

Central European Journal of Operations Research, 2021, vol. 29, issue 3, No 12, 967-987

Abstract: Abstract In practical problems, which can be stated in the form of multi objective programming problem, we have usually a large set of efficient solutions. So, which solution from this set should be taken, appears as a natural question here. In the paper we propose some sustainable principles and simple numerical method for such choice. The method respects aspirations and priorities of decision makers and enables iterations for possible improvement of the solution. In this way decision makers can clearly understand why a particular solution is obtained and when and how it can be improved. The features of the method are explained by a practical example. An applications to bilevel programming problems are also presented, where the both side mapping, between the set of efficient solutions and the set of all possible priorities, is shown. It is illustrated in detail through several linear and nonlinear examples.

Keywords: Multi objective programming problem; Efficient solution; Priority; Aspiration; Bilevel programming problem (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10100-020-00718-1

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