A “Logic-Constrained” Knapsack Formulation and a Tabu Algorithm for the Daily Photograph Scheduling of an Earth Observation Satellite

  • Authors:
  • Michel Vasquez;Jin-Kao Hao

  • Affiliations:
  • Ecole des Mines d'Alès, Parc Scientifique G. Besse, F-30035 Nîmes. Michel.Vasquez@site-eerie.ema.fr;Université d'Angers, 2 Bd Lavoisier, F-49045 Angers Cedex 01, France. Jin-Kao.Hao@univ-angers.fr

  • Venue:
  • Computational Optimization and Applications
  • Year:
  • 2001

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Abstract

The daily photograph scheduling problem of earth observation satellites such as Spot 5 consists of scheduling a subset of mono or stereo photographs from a given set of candidates to different cameras. The scheduling must maximize a profit function while satisfying a large number of constraints. In this paper, we first present a formulation of the problem as a generalized version of the well-known knapsack model, which includes large numbers of binary and ternary “logical” constraints. We then develop a tabu search algorithm which integrates some important features including an efficient neighborhood, a dynamic tabu tenure mechanism, techniques for constraint handling, intensification and diversification. Extensive experiments on a set of large and realistic benchmark instances show the effectiveness of this approach.