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A new algorithm for solving planar multiobjective location problems involving the Manhattan norm

Shaghaf Alzorba (Shaghaf.Alzorba***at***mathematik.uni-halle.de)
Christian GŁnther (Christian.Guenther***at***mathematik.uni-halle.de)
Nicolae Popovici (popovici***at***math.ubbcluj.ro)
Christiane Tammer (Christiane.Tammer***at***mathematik.uni-halle.de)

Abstract: This paper is devoted to the study of unconstrained planar multiobjective location problems, where distances between points are defined by means of the Manhattan norm. By identifying all nonessential objectives, we develop an effective algorithm for generating the whole set of efficient solutions. We prove the correctness of this algorithm and present some computational results, obtained by implementing the algorithm in MATLAB.

Keywords: Multiobjective optimization; Location problem; Manhattan norm; Scalarization; Nonessential objective

Category 1: Other Topics (Multi-Criteria Optimization )

Category 2: Convex and Nonsmooth Optimization (Convex Optimization )

Category 3: Applications -- Science and Engineering (Facility Planning and Design )

Citation: European Journal of Operational Research, DOI: 10.1016/j.ejor.2016.10.045

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Entry Submitted: 01/26/2016
Entry Accepted: 01/26/2016
Entry Last Modified: 10/29/2016

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