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A Cooperative Learning Approach for the Quadratic Knapsack Problem

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Learning and Intelligent Optimization (LION 12 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11353))

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Abstract

The Quadratic Knapsack Problem (QKP) is a well-known optimization problem aimed to maximize a quadratic objective function subject to linear capacity constraints. It has several applications in different fields such as telecommunications, graph theory, logistics, hydrology and data allocation, among others. In this paper, we propose the application of a novel population-based metaheuristic referred to as Multi-leader Migrating Birds Optimization (MMBO), which exploits the concepts of cooperation and communication along the search leading to a collective learning, to solve a wide range of well-known QKP instances.

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References

  1. Billionnet, A., Soutif, É.: An exact method based on lagrangian decomposition for the 0–1 quadratic knapsack problem. Eur. J. Oper. Res. 157(3), 565–575 (2004)

    Article  MathSciNet  Google Scholar 

  2. Caprara, A., Pisinger, D., Toth, P.: Exact solution of the quadratic knapsack problem. INFORMS J. Comput. 11(2), 125–137 (1999)

    Article  MathSciNet  Google Scholar 

  3. Cunha, J.O., Simonetti, L., Lucena, A.: Lagrangian heuristics for the quadratic knapsack problem. Comput. Optim. Appl. 63, 97–120 (2016)

    Article  MathSciNet  Google Scholar 

  4. Fomeni, F., Letchford, A.: A dynamic programming heuristic for the quadratic knapsack problem. INFORMS J. Comput. 26(1), 173–182 (2013)

    Article  MathSciNet  Google Scholar 

  5. Gallo, G., Hammer, P.L., Simeone, B.: Quadratic knapsack problems. In: Padberg, M.W. (ed.) Combinatorial Optimization, pp. 132–149. Springer, Berlin (1980). https://doi.org/10.1007/BFb0120892

    Chapter  Google Scholar 

  6. Lalla-Ruiz, E., de Armas, J., Expósito-Izquierdo, C., Melián-Batista, B., Moreno-Vega, J.M.: Multi-leader migrating birds optimisation: a novel nature-inspired metaheuristic for combinatorial problems. Int. J. Bio-Inspired Comput. 10, 89–98 (2017)

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute of Information Systems, University of Hamburg, Hamburg, Germany

    Eduardo Lalla-Ruiz & Stefan Voß

  2. School of Computing, Edinburgh Napier University, Edinburgh, UK

    Eduardo Segredo

  3. Dpto. de Ingeniería Informática y de Sistemas, Universidad de La Laguna, San Cristóbal de La Laguna, Spain

    Eduardo Segredo

  4. Department of Industrial Engineering and Business Information Systems, University of Twente, 7522NB, Enschede, The Netherlands

    Eduardo Lalla-Ruiz

Authors
  1. Eduardo Lalla-Ruiz
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  2. Eduardo Segredo
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  3. Stefan Voß
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Corresponding author

Correspondence to Stefan Voß .

Editor information

Editors and Affiliations

  1. University of Trento, Trento, Italy

    Roberto Battiti

  2. University of Trento, Trento, Italy

    Mauro Brunato

  3. Wilfrid Laurier University, Waterloo, ON, Canada

    Ilias Kotsireas

  4. University of Florida, Gainesville, FL, USA

    Panos M. Pardalos

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Lalla-Ruiz, E., Segredo, E., Voß, S. (2019). A Cooperative Learning Approach for the Quadratic Knapsack Problem. In: Battiti, R., Brunato, M., Kotsireas, I., Pardalos, P. (eds) Learning and Intelligent Optimization. LION 12 2018. Lecture Notes in Computer Science(), vol 11353. Springer, Cham. https://doi.org/10.1007/978-3-030-05348-2_3

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  • DOI: https://doi.org/10.1007/978-3-030-05348-2_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-05347-5

  • Online ISBN: 978-3-030-05348-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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