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Combining artificial neural networks and evolution to solve multiobjective knapsack problems

Published: 13 July 2019 Publication History

Abstract

The multiobjective knapsack problem (MOKP) is a combinatorial problem that arises in various applications, including resource allocation, computer science and finance. Evolutionary multiobjective optimization algorithms (EMOAs) can be effective in solving MOKPs. Though, they often face difficulties due to the loss of solution diversity and poor scalability. To address those issues, our study [2] proposes to generate candidate solutions by artificial neural networks. This is intended to provide intelligence to the search. As gradient-based learning cannot be used when target values are unknown, neuroevolution is adapted to adjust the neural network parameters. The proposal is implemented within a state-of-the-art EMOA and benchmarked against traditional search operators base on a binary crossover. The obtained experimental results indicate a superior performance of the proposed approach. Furthermore, it is advantageous in terms of scalability and can be readily incorporated into different EMOAs.

References

[1]
N. Beume, B. Naujoks, and M. Emmerich. 2007. SMS-EMOA: Multiobjective Selection Based on Dominated Hypervolume. Eur. J. Oper. Res. 181, 3 (2007), 1653--1669.
[2]
R. Denysiuk, A. Gaspar-Cunha, and A. C. B. Delbem. 2019. Neuroevolution for solving multiobjective knapsack problems. Expert Syst. Appl. 116 (2019), 65--11.
[3]
D. Floreano, P. Dürr, and C. Mattiussi. 2008. Neuroevolution: from architectures to learning. Evol. Intell. 1, 1 (2008), 47--62.
[4]
H. Ishibuchi, N. Akedo, and Y. Nojima. 2015. Behavior of Multiobjective Evolutionary Algorithms on Many-Objective Knapsack Problems. IEEE Trans. Evol. Comput. 19, 2 (2015), 264--283.
[5]
F. Rothlauf. 2006. Representations for Genetic and Evolutionary Algorithms (2 ed.). Springer, Heidelberg.
[6]
H. Sato, H. E. Aguirre, and K. Tanaka. 2007. Local dominance and local recombination in MOEAs on 0/1 multiobjective knapsack problems. Eur. J. Oper. Res. 181, 3 (2007), 1708--1723.
[7]
E. Zitzler and L. Thiele. 1999. Multiobjective Evolutionary Algorithms: A Comparative Case Study and the Strength Pareto Approach. IEEE Trans. Evol. Comput. 3, 4 (1999), 257--271.

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    cover image ACM Conferences
    GECCO '19: Proceedings of the Genetic and Evolutionary Computation Conference Companion
    July 2019
    2161 pages
    ISBN:9781450367486
    DOI:10.1145/3319619
    Permission to make digital or hard copies of part or all of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for third-party components of this work must be honored. For all other uses, contact the Owner/Author.

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    New York, NY, United States

    Publication History

    Published: 13 July 2019

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    Author Tags

    1. artificial neural networks
    2. evolutionary computing
    3. multiobjective knapsack problem

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    GECCO '19
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    GECCO '19: Genetic and Evolutionary Computation Conference
    July 13 - 17, 2019
    Prague, Czech Republic

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    Overall Acceptance Rate 1,669 of 4,410 submissions, 38%

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