Generating the efficient set of MultiObjective Integer Linear plus Linear Fractional Programming Problems

Yasmine Cherfaoui () and Mustapha Moulaï ()
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Yasmine Cherfaoui: USTHB
Mustapha Moulaï: USTHB

Annals of Operations Research, 2021, vol. 296, issue 1, No 28, 735-753

Abstract: Abstract The problem of optimizing a linear plus linear fractional function is an important field of search, it is a difficult problem since the linear plus linear fractional function doesn’t possess any convexity propriety. In this paper, we propose a method that generates the set of the efficient solutions of multiobjective integer linear plus linear fractional programming problem. Our method consists in Branch-and-Bound exploration combined with cutting plane technique that allows to remove from search inefficient solutions. The cutting plane technique takes into account the inefficiency of a solution in another problem that implies the inefficiency of that solution in our problem and uses this link to reduce the exploration’s domain.

Keywords: Multiobjective programming; Fractional programming; Integer programming; Branch-and-Cut; Primary: 90C29; 90C32; 90C10; Secondary: 90C57 (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/s10479-020-03581-0

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