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Upper Bounds for the SPOT 5 Daily Photograph Scheduling Problem

Author

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  • Michel Vasquez

    (LGI2P-EMA, Parc Scientifique G. Besse)

  • Jin-Kao Hao

    (LERIA Université d'Angers)

Abstract

This paper introduces tight upper bounds for the daily photograph scheduling problem of earth observation satellites. These bounds, which were unavailable until now, allow us to assess the quality of the heuristic solutions obtained previously. These bounds are obtained with a partition-based approach following the “divide and pas conquer” principle. Dynamic programming and tabu search are conjointly used in this approach. We present also simplex-based linear programming relaxation and a relaxed knapsack approach for the problem.

Suggested Citation

  • Michel Vasquez & Jin-Kao Hao, 2003. "Upper Bounds for the SPOT 5 Daily Photograph Scheduling Problem," Journal of Combinatorial Optimization, Springer, vol. 7(1), pages 87-103, March.
    • Handle: RePEc:spr:jcomop:v:7:y:2003:i:1:d:10.1023_a:1021950608048
    DOI: 10.1023/A:1021950608048
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    References listed on IDEAS

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    1. Robert M. Nauss, 1976. "An Efficient Algorithm for the 0-1 Knapsack Problem," Management Science, INFORMS, vol. 23(1), pages 27-31, September.
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    Cited by:

    1. Hao, Jin-Kao & Benlic, Una, 2011. "Lower bounds for the ITC-2007 curriculum-based course timetabling problem," European Journal of Operational Research, Elsevier, vol. 212(3), pages 464-472, August.
    2. Xiao, Yiyong & Zhang, Siyue & Yang, Pei & You, Meng & Huang, Jiaoying, 2019. "A two-stage flow-shop scheme for the multi-satellite observation and data-downlink scheduling problem considering weather uncertainties," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 263-275.
    3. J-F Cordeau & G Laporte, 2005. "Maximizing the value of an Earth observation satellite orbit," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(8), pages 962-968, August.
    4. Chen, Xiaoyu & Reinelt, Gerhard & Dai, Guangming & Spitz, Andreas, 2019. "A mixed integer linear programming model for multi-satellite scheduling," European Journal of Operational Research, Elsevier, vol. 275(2), pages 694-707.
    5. Glaydston Mattos Ribeiro & Miguel Fragoso Constantino & Luiz Antonio Nogueira Lorena, 2010. "Strong formulation for the spot 5 daily photograph scheduling problem," Journal of Combinatorial Optimization, Springer, vol. 20(4), pages 385-398, November.
    6. Bianchessi, Nicola & Cordeau, Jean-Francois & Desrosiers, Jacques & Laporte, Gilbert & Raymond, Vincent, 2007. "A heuristic for the multi-satellite, multi-orbit and multi-user management of Earth observation satellites," European Journal of Operational Research, Elsevier, vol. 177(2), pages 750-762, March.
    7. Virginie Gabrel, 2006. "Strengthened 0-1 linear formulation for the daily satellite mission planning," Journal of Combinatorial Optimization, Springer, vol. 11(3), pages 341-346, May.

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