An exact scalarization method with multiple reference points for bi-objective integer linear optimization problems

Angelo Aliano Filho (), Antonio Carlos Moretti, Margarida Vaz Pato and Washington Alves Oliveira
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Angelo Aliano Filho: Federal Technological University of Paraná
Antonio Carlos Moretti: University of Campinas
Margarida Vaz Pato: Universidade de Lisboa
Washington Alves Oliveira: University of Campinas

Annals of Operations Research, 2021, vol. 296, issue 1, No 3, 35-69

Abstract: Abstract This paper presents an exact scalarization method to solve bi-objective integer linear optimization problems. This method uses diverse reference points in the iterations, and it is free from any kind of a priori chosen weighting factors. In addition, two new adapted scalarization methods from literature and the modified Tchebycheff method are studied. Each one of them results in different ways to obtain the Pareto frontier. Computational experiments were performed with random real size instances of two special problems related to the manufacturing industry, which involve lot sizing and cutting stock problems. Extensive tests confirmed the very good performance of the new scalarization method with respect to the computational effort, the number of achieved solutions, the ability to achieve different solutions, and the spreading and spacing of solutions at the Pareto frontier.

Keywords: Bi-objective optimization problems; Integer linear optimization; Exact scalarization methods (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10479-019-03317-9

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