{"date_updated":"2023-12-13T10:45:22Z","series_title":"GECCO ’21","page":"556–564","place":"New York, NY, USA","language":[{"iso":"eng"}],"extern":"1","abstract":[{"text":"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 (1 - {$ϵ$}) {$\\cdot$} OPT, 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 ({$\\mu$} + 1)-EA with initial approximate solutions calculated by a well-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.","lang":"eng"}],"publication":"Proceedings of the Genetic and Evolutionary Computation Conference","title":"Breeding Diverse Packings for the Knapsack Problem by Means of Diversity-Tailored Evolutionary Algorithms","user_id":"102979","publication_identifier":{"isbn":["978-1-4503-8350-9"]},"year":"2021","author":[{"orcid":"0000-0002-4121-4668","last_name":"Bossek","full_name":"Bossek, Jakob","id":"102979","first_name":"Jakob"},{"last_name":"Neumann","full_name":"Neumann, Aneta","first_name":"Aneta"},{"first_name":"Frank","full_name":"Neumann, Frank","last_name":"Neumann"}],"status":"public","_id":"48853","publication_status":"published","date_created":"2023-11-14T15:58:54Z","doi":"10.1145/3449639.3459364","department":[{"_id":"819"}],"citation":{"apa":"Bossek, J., Neumann, A., &#38; Neumann, F. (2021). Breeding Diverse Packings for the Knapsack Problem by Means of Diversity-Tailored Evolutionary Algorithms. <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>, 556–564. <a href=\"https://doi.org/10.1145/3449639.3459364\">https://doi.org/10.1145/3449639.3459364</a>","chicago":"Bossek, Jakob, Aneta Neumann, and Frank Neumann. “Breeding Diverse Packings for the Knapsack Problem by Means of Diversity-Tailored Evolutionary Algorithms.” In <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>, 556–564. GECCO ’21. New York, NY, USA: Association for Computing Machinery, 2021. <a href=\"https://doi.org/10.1145/3449639.3459364\">https://doi.org/10.1145/3449639.3459364</a>.","mla":"Bossek, Jakob, et al. “Breeding Diverse Packings for the Knapsack Problem by Means of Diversity-Tailored Evolutionary Algorithms.” <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>, Association for Computing Machinery, 2021, pp. 556–564, doi:<a href=\"https://doi.org/10.1145/3449639.3459364\">10.1145/3449639.3459364</a>.","ama":"Bossek J, Neumann A, Neumann F. Breeding Diverse Packings for the Knapsack Problem by Means of Diversity-Tailored Evolutionary Algorithms. In: <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>. GECCO ’21. Association for Computing Machinery; 2021:556–564. doi:<a href=\"https://doi.org/10.1145/3449639.3459364\">10.1145/3449639.3459364</a>","ieee":"J. Bossek, A. Neumann, and F. Neumann, “Breeding Diverse Packings for the Knapsack Problem by Means of Diversity-Tailored Evolutionary Algorithms,” in <i>Proceedings of the Genetic and Evolutionary Computation Conference</i>, 2021, pp. 556–564, doi: <a href=\"https://doi.org/10.1145/3449639.3459364\">10.1145/3449639.3459364</a>.","bibtex":"@inproceedings{Bossek_Neumann_Neumann_2021, place={New York, NY, USA}, series={GECCO ’21}, title={Breeding Diverse Packings for the Knapsack Problem by Means of Diversity-Tailored Evolutionary Algorithms}, DOI={<a href=\"https://doi.org/10.1145/3449639.3459364\">10.1145/3449639.3459364</a>}, booktitle={Proceedings of the Genetic and Evolutionary Computation Conference}, publisher={Association for Computing Machinery}, author={Bossek, Jakob and Neumann, Aneta and Neumann, Frank}, year={2021}, pages={556–564}, collection={GECCO ’21} }","short":"J. Bossek, A. Neumann, F. Neumann, in: Proceedings of the Genetic and Evolutionary Computation Conference, Association for Computing Machinery, New York, NY, USA, 2021, pp. 556–564."},"keyword":["evolutionary algorithms","evolutionary diversity optimization","knapsack problem","tailored operators"],"type":"conference","publisher":"Association for Computing Machinery"}