Measures of balance in combinatorial optimization

Philippe Olivier (), Andrea Lodi () and Gilles Pesant ()
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Philippe Olivier: Polytechnique Montréal
Andrea Lodi: Polytechnique Montréal
Gilles Pesant: Polytechnique Montréal

4OR, 2022, vol. 20, issue 3, No 2, 415 pages

Abstract: Abstract The concept of balance plays an important role in many combinatorial optimization problems. Yet there exist various ways of expressing balance, and it is not always obvious how best to achieve it. In this methodology-focused paper, we study three cases where its integration is deficient and analyze the causes of these inadequacies. We examine the characteristics and performance of the measures of balance used in these cases, and provide general guidelines regarding the choice of a measure.

Keywords: Balance; Fairness; Constraint programming; Integer programming; 9005; 90C27; 90C11 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10288-021-00486-x

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