Breeding diverse packings for the knapsack problem by means of diversity-tailored evolutionary algorithms
Date
2021
Authors
Bossek, J.
Neumann, A.
Neumann, F.
Editors
Chicano, F.
Krawiec, K.
Krawiec, K.
Advisors
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Conference paper
Citation
Proceedings of the Genetic and Evolutionary Computation Conference (GECCO'21), 2021 / Chicano, F., Krawiec, K. (ed./s), pp.556-564
Statement of Responsibility
Jakob Bossek, Aneta Neumann, Frank Neumann
Conference Name
Genetic and Evolutionary Computation Conference (GECCO) (10 Jul 2021 - 14 Jul 2021 : virtual online)
Abstract
In practise, it is often desirable to provide the decision-maker with a rich set of diverse solutions of decent quality instead of just a single solution. In this paper we study evolutionary diversity optimization for the knapsack problem (KP). Our goal is to evolve a population of solutions that all have a profit of at least (1โ๐) ยท๐๐๐ , where OPT is the value of an optimal solution. Furthermore, they should differ in structure with respect to an entropy-based diversity measure. To this end we propose a simple (๐ + 1)-EA with initial approximate solutions calculated by awell-known FPTAS for the KP. We investigate the effect of different standard mutation operators and introduce biased mutation and crossover which puts strong probability on flipping bits of low and/or high frequency within the population. An experimental study on different instances and settings shows that the proposed mutation operators in most cases perform slightly inferior in the long term, but show strong benefits if the number of function evaluations is severely limited.
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ยฉ 2021 Copyright held by the owner/author(s). Publication rights licensed to ACM.