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Mathematical Programming for Earth Observation Satellite Mission Planning

  • Virginie Gabrel
  • Cécile Murat
Part of the Applied Optimization book series (APOP, volume 79)

Abstract

Planning the mission of an Earth observation satellite is choosing the shots to be taken during a given period in order to satisfy some requested images. The difficulty of the underlying combinatorial problem depends on the satellite characteristics and on the planning horizon.

We present several formulations using graph theory and mathematical programming. We show that some special cases can be easily solved since they leads to determine longest paths in acyclic directed graphs. For more realistic cases, integer mathematical programming models are much more complicated but, our formulation contains simple longest paths problems as sub-problems. Consequently some decomposition techniques, like column generation, can favorably be used.

Keywords

Earth observation satellite mission planning graph theory column generation 

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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Virginie Gabrel
    • 1
  • Cécile Murat
    • 2
  1. 1.LIPN Université ParisVilletaneuseFrance
  2. 2.LAMSADE Université Paris DauphineParisFrance

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