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A mixed integer linear programming model for multi-satellite scheduling

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  • Chen, Xiaoyu
  • Reinelt, Gerhard
  • Dai, Guangming
  • Spitz, Andreas

Abstract

We address the multi-satellite scheduling problem with limited observation capacities that arises from the need to observe a set of targets on the Earth’s surface using imaging resources installed on a set of satellites. We define and analyze the conflict indicators of all available visible time windows of missions, as well as the feasible time intervals of resources. The problem is then formulated as a mixed integer linear programming model, in which constraints are derived from a careful analysis of the interdependency between feasible time intervals that are eligible for observations. We apply the proposed model to several different problem instances that reflect real-world situations. The computational results verify that our approach is effective for obtaining optimum solutions or solutions with a very good quality.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:275:y:2019:i:2:p:694-707
    DOI: 10.1016/j.ejor.2018.11.058
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    1. Xiong, Jian & Leus, Roel & Yang, Zhenyu & Abbass, Hussein A., 2016. "Evolutionary multi-objective resource allocation and scheduling in the Chinese navigation satellite system project," European Journal of Operational Research, Elsevier, vol. 251(2), pages 662-675.
    2. Jang, Jinbong & Choi, Jiwoong & Bae, Hee-Jin & Choi, In-Chan, 2013. "Image collection planning for KOrea Multi-Purpose SATellite-2," European Journal of Operational Research, Elsevier, vol. 230(1), pages 190-199.
    3. Tangpattanakul, Panwadee & Jozefowiez, Nicolas & Lopez, Pierre, 2015. "A multi-objective local search heuristic for scheduling Earth observations taken by an agile satellite," European Journal of Operational Research, Elsevier, vol. 245(2), pages 542-554.
    4. Djamal Habet & Michel Vasquez & Yannick Vimont, 2010. "Bounding the optimum for the problem of scheduling the photographs of an Agile Earth Observing Satellite," Computational Optimization and Applications, Springer, vol. 47(2), pages 307-333, October.
    5. Gabrel, Virginie & Vanderpooten, Daniel, 2002. "Enumeration and interactive selection of efficient paths in a multiple criteria graph for scheduling an earth observing satellite," European Journal of Operational Research, Elsevier, vol. 139(3), pages 533-542, June.
    6. Cheng, T.C.E. & Ng, C.T. & Yuan, J.J., 2008. "Multi-agent scheduling on a single machine with max-form criteria," European Journal of Operational Research, Elsevier, vol. 188(2), pages 603-609, July.
    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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. William J. Wolfe & Stephen E. Sorensen, 2000. "Three Scheduling Algorithms Applied to the Earth Observing Systems Domain," Management Science, INFORMS, vol. 46(1), pages 148-166, January.
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