A lexicographic maximin approach to the selective assessment routing problem

Mohammadmehdi Hakimifar (), Vera C. Hemmelmayr () and Fabien Tricoire ()
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Mohammadmehdi Hakimifar: WU (Vienna University of Economics and Business)
Vera C. Hemmelmayr: WU (Vienna University of Economics and Business)
Fabien Tricoire: WU (Vienna University of Economics and Business)

OR Spectrum: Quantitative Approaches in Management, 2023, vol. 45, issue 1, No 8, 205-249

Abstract: Abstract Max-min approaches have been widely applied to address equity as an essential consideration in humanitarian operations. These approaches, however, have a significant drawback of being neutral when it comes to solutions with the same minimum values. These equivalent solutions, from a max-min point of view, might be significantly different. We address this problem using the lexicographic maximin approach, a refinement of the classic max-min approach. We apply this approach in the rapid needs assessment process, which is carried out immediately after the onset of a disaster, to investigate the disaster’s impact on the affected community groups through field visits. We construct routes for an assessment plan to cover community groups, each carrying a distinct characteristic, such that the vector of coverage ratios are maximized. We define the leximin selective assessment problem, which considers the bi-objective optimization of total assessment time and coverage ratio vector maximization. We solve the bi-objective problem by a heuristic approach based on the multi-directional local search framework.

Keywords: Equity in Humanitarian logistics; Humanitarian needs assessment; Multi-directional local search; Team orienteering (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s00291-022-00687-8

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