Skip to main content
Top

2015 | OriginalPaper | Chapter

A Practical Case of the Multiobjective Knapsack Problem: Design, Modelling, Tests and Analysis

Authors : Brahim Chabane, Matthieu Basseur, Jin-Kao Hao

Published in: Learning and Intelligent Optimization

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, we present a practical case of the multiobjective knapsack problem which concerns the elaboration of the optimal action plan in the social and medico-social sector. We provide a description and a formal model of the problem as well as some preliminary computational results. We perform an empirical analysis of the behavior of three metaheuristic approaches: a fast and elitist multiobjective genetic algorithm (NSGA-II), a Pareto Local Search (PLS) algorithm and an Indicator-Based Multi-Objective Local Search (IBMOLS).

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
In social and medico-social structures, a project is defined for a period of five years. At the sixth year, the evaluation of the project is carried out and the attainment of each objective is measured. Therefore, the more there are objectives, the more the evaluation is difficult.
 
Literature
1.
go back to reference Basseur, M., Liefooghe, A., Khoi, L., Burke, E.K.: The efficiency of indicator-based local search for multi-objective combinatorial optimisation problems. J. Heuristics 18, 263–296 (2012) Basseur, M., Liefooghe, A., Khoi, L., Burke, E.K.: The efficiency of indicator-based local search for multi-objective combinatorial optimisation problems. J. Heuristics 18, 263–296 (2012)
2.
go back to reference Basseur, M., Talbi, E., Nebro, A., Alba, E.: Metaheuristics for multiobjective combinatorial optimization problems: review and recent issues. INRIA Research Report 5978 (2006) Basseur, M., Talbi, E., Nebro, A., Alba, E.: Metaheuristics for multiobjective combinatorial optimization problems: review and recent issues. INRIA Research Report 5978 (2006)
3.
go back to reference Basseur, M., Zeng, R.-Q., Hao, J.-K.: Hypervolume-based Multi-objective Local Search. Neural Computing and Applications, pp. 1917–1929. Springer, London (2012) Basseur, M., Zeng, R.-Q., Hao, J.-K.: Hypervolume-based Multi-objective Local Search. Neural Computing and Applications, pp. 1917–1929. Springer, London (2012)
4.
go back to reference Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6, 182–197 (2002) Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6, 182–197 (2002)
5.
go back to reference Kellerer, H., Pferschy, U., Pisinger, D.: Knapsack Problems. Springer Science & Business Media, Heidelberg (2004)CrossRefMATH Kellerer, H., Pferschy, U., Pisinger, D.: Knapsack Problems. Springer Science & Business Media, Heidelberg (2004)CrossRefMATH
6.
go back to reference Knowles, J.D., Thiele, L., Zitzler, E.: A Tutorial on the performance assessment of stochastic multiobjective optimizers. Technical report, Computer Engineering and Networks Laboratory (TIK) 214, ETH Zurich (2006) Knowles, J.D., Thiele, L., Zitzler, E.: A Tutorial on the performance assessment of stochastic multiobjective optimizers. Technical report, Computer Engineering and Networks Laboratory (TIK) 214, ETH Zurich (2006)
7.
go back to reference Liefooghe, A., Humeau, J., Mesmoudi, S., Jourdan, L., Talbi, E.-G.: On dominance-based multiobjective local search: design, implementation and experimental analysis on scheduling and traveling salesman problems. J. Heuristics 18, 317–352 (2012) Liefooghe, A., Humeau, J., Mesmoudi, S., Jourdan, L., Talbi, E.-G.: On dominance-based multiobjective local search: design, implementation and experimental analysis on scheduling and traveling salesman problems. J. Heuristics 18, 317–352 (2012)
8.
go back to reference Lust, T., Teghem, J.: The multiobjective multidimensional knapsack problem: a survey and a new approach. Int. Trans. Oper. Res. 19, 495–520 (2012)MATHMathSciNet Lust, T., Teghem, J.: The multiobjective multidimensional knapsack problem: a survey and a new approach. Int. Trans. Oper. Res. 19, 495–520 (2012)MATHMathSciNet
9.
go back to reference Paquete, L., Chiarandini, M., Sttzle, T.: Pareto local optimum sets in the biobjective traveling salesman problem: an experimental study. In: Gandibleux, X., Sevaux, M., Sörensen, K., T’kindt, V. (eds.) Metaheuristics for Multiobjective Optimisation, pp. 177–199. Springer, Heidelberg (2004)CrossRef Paquete, L., Chiarandini, M., Sttzle, T.: Pareto local optimum sets in the biobjective traveling salesman problem: an experimental study. In: Gandibleux, X., Sevaux, M., Sörensen, K., T’kindt, V. (eds.) Metaheuristics for Multiobjective Optimisation, pp. 177–199. Springer, Heidelberg (2004)CrossRef
10.
go back to reference The ministry of social affairs and health: Le champ social et médico-social: une activité en forte croissance, des métiers qui se développent et se diversifient. Repères Anal. 44 (2012) The ministry of social affairs and health: Le champ social et médico-social: une activité en forte croissance, des métiers qui se développent et se diversifient. Repères Anal. 44 (2012)
11.
go back to reference Trautmann, H., Wagner, T., Brockhoff, D.: R2-EMOA: focused multiobjective search using R2-indicator-based selection. In: Nicosia, G., Pardalos, P. (eds.) LION 7. LNCS, vol. 7997, pp. 70–74. Springer, Heidelberg (2013) CrossRef Trautmann, H., Wagner, T., Brockhoff, D.: R2-EMOA: focused multiobjective search using R2-indicator-based selection. In: Nicosia, G., Pardalos, P. (eds.) LION 7. LNCS, vol. 7997, pp. 70–74. Springer, Heidelberg (2013) CrossRef
12.
go back to reference Zitzler, E., Künzli, S.: Indicator-based selection in multiobjective search. In: Yao, X., Burke, E.K., Lozano, J.A., Smith, J., Merelo-Guervós, J.J., Bullinaria, J.A., Rowe, J.E., Tiňo, P., Kabán, A., Schwefel, H.-P. (eds.) PPSN 2004. LNCS, vol. 3242, pp. 832–842. Springer, Heidelberg (2004) CrossRef Zitzler, E., Künzli, S.: Indicator-based selection in multiobjective search. In: Yao, X., Burke, E.K., Lozano, J.A., Smith, J., Merelo-Guervós, J.J., Bullinaria, J.A., Rowe, J.E., Tiňo, P., Kabán, A., Schwefel, H.-P. (eds.) PPSN 2004. LNCS, vol. 3242, pp. 832–842. Springer, Heidelberg (2004) CrossRef
Metadata
Title
A Practical Case of the Multiobjective Knapsack Problem: Design, Modelling, Tests and Analysis
Authors
Brahim Chabane
Matthieu Basseur
Jin-Kao Hao
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-19084-6_23

Premium Partner