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A Hybrid Genetic Algorithm for the One-Dimensional Minimax Bin-Packing Problem with Assignment Constraints

Mariona Vilà () and Jordi Pereira ()
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Mariona Vilà: Universitat Politècnica de Catalunya
Jordi Pereira: Universidad Católica del Norte

A chapter in Computational Management Science, 2016, pp 183-188 from Springer

Abstract: Abstract In this paper, the one-dimensional minimax bin-packing problem with assignment constraints is studied. Among other applications, this problem is used in test-splitting, which consists in assigning several sets of questions into different questionnaires so that every one of these questionnaires contains one question from each one of the original sets. Questions have a weight associated, which typically corresponds to a measure of their difficulty, and the objective is to split the questions among the questionnaires in such a way that the weights are distributed as evenly as possible. We propose a hybrid genetic algorithm for solving this problem, which is then tested on a benchmark set of practically-sized instances. The results show its efficiency in solving large size instances from the literature.

Keywords: Genetic Algorithm; Simulated Annealing; Hybrid Genetic Algorithm; Simulated Annealing Procedure; Assignment Constraint (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-319-20430-7_23

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DOI: 10.1007/978-3-319-20430-7_23

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