Experiments concerning sequential versus simultaneous maximization of objective function and distance

  • Authors:
  • Peter Greistorfer;Arne Løkketangen;Stefan Voβ;David L. Woodruff

  • Affiliations:
  • Institut für Industrie und Fertigungswirtschaft, Karl-Franzens-University Graz, Graz, Austria 8010;Molde University College, Molde, Norway 6400;Institute of Information Systems, University of Hamburg, Hamburg, Germany 20146;Graduate School of Management, UC Davis, Davis, USA 95616

  • Venue:
  • Journal of Heuristics
  • Year:
  • 2008

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Abstract

Suppose two solution vectors are needed that have good objective function values and are different from each other. The following question has not yet been systematically researched: Should the two vectors be generated sequentially or simultaneously? We provide evidence that for broad ranges of practically achievable distances, sequential generation usually requires less computational effort and produces solutions that are at least as good as produced by simultaneous generation. This is done using experiments based on publicly available instances of the multi-constrained, zero-one knapsack problem, which are corroborated using experiments conducted with the linear assignment problem.