IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v191y2021i2d10.1007_s10957-021-01875-2.html
   My bibliography  Save this article

Scheduling of a Constellation of Satellites: Creating a Mixed-Integer Linear Model

Author

Listed:
  • Philippe Monmousseau

    (Université de Toulouse)

Abstract

The purpose of this paper is to provide a new scheduling model of a large constellation of imaging satellites that does not use a heuristic solving method. The objective is to create a mixed-integer linear model that would be competitive in speed and in its closeness to reality against a current model using simulated annealing, while trying to improve both models. Each satellite has the choice between a number of possible events, each event having a utility and a cost, and the chosen schedule must take into account numerous time-related constraints. The main difficulties appeared in modeling realistically a battery level and in handling infeasible configurations due to inaccurate parameters. The obtained linear model has enabled a better understanding of the performance of the simulated annealing solver, and could also be adapted to different real-world scheduling problems.

Suggested Citation

  • Philippe Monmousseau, 2021. "Scheduling of a Constellation of Satellites: Creating a Mixed-Integer Linear Model," Journal of Optimization Theory and Applications, Springer, vol. 191(2), pages 846-873, December.
    • Handle: RePEc:spr:joptap:v:191:y:2021:i:2:d:10.1007_s10957-021-01875-2
    DOI: 10.1007/s10957-021-01875-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-021-01875-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-021-01875-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. VAN ROY, Tony J. & WOLSEY, Laurence A., 1987. "Solving mixed integer programming problems using automatic reformulation," LIDAM Reprints CORE 782, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Tony J. Van Roy & Laurence A. Wolsey, 1987. "Solving Mixed Integer Programming Problems Using Automatic Reformulation," Operations Research, INFORMS, vol. 35(1), pages 45-57, February.
    3. Hall, Nicholas G. & Magazine, Michael J., 1994. "Maximizing the value of a space mission," European Journal of Operational Research, Elsevier, vol. 78(2), pages 224-241, October.
    4. Virginie Gabrel & Alain Moulet & Cécile Murat & Vangelis Paschos, 1997. "A new single model and derived algorithms for the satellite shot planning problem using graph theory concepts," Annals of Operations Research, Springer, vol. 69(0), pages 115-134, January.
    5. 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.
    6. 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.
    7. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang Ye & Hu Xiaoxuan & Zhu Waiming & Jin Peng, 2018. "Solving the Observing and Downloading Integrated Scheduling Problem of Earth Observation Satellite with a Quantum Genetic Algorithm," Journal of Systems Science and Information, De Gruyter, vol. 6(5), pages 399-420, October.
    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. Shai Krigman & Tal Grinshpoun & Lihi Dery, 2024. "Scheduling of Earth observing satellites using distributed constraint optimization," Journal of Scheduling, Springer, vol. 27(5), pages 507-524, October.
    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. Awi Federgruen & Joern Meissner & Michal Tzur, 2007. "Progressive Interval Heuristics for Multi-Item Capacitated Lot-Sizing Problems," Operations Research, INFORMS, vol. 55(3), pages 490-502, June.
    6. Pourbabai, B. & Ashayeri, J. & Van Wassenhove, L.N., 1992. "Strategic marketing, production, and distribution planning of an integrated manufacturing system," Other publications TiSEM 16c2bacb-2c2b-427e-b429-c, Tilburg University, School of Economics and Management.
    7. Bian, Zheyong & Bai, Yun & Douglas, W. Scott & Maher, Ali & Liu, Xiang, 2022. "Multi-year planning for optimal navigation channel dredging and dredged material management," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 159(C).
    8. William Cook & Thomas Rutherford & Herbert E. Scarf & David F. Shallcross, 1991. "An Implementation of the Generalized Basis Reduction Algorithm for Integer Programming," Cowles Foundation Discussion Papers 990, Cowles Foundation for Research in Economics, Yale University.
    9. Lei He & Mathijs Weerdt & Neil Yorke-Smith, 2020. "Time/sequence-dependent scheduling: the design and evaluation of a general purpose tabu-based adaptive large neighbourhood search algorithm," Journal of Intelligent Manufacturing, Springer, vol. 31(4), pages 1051-1078, April.
    10. Alper Atamtürk & Martin Savelsbergh, 2005. "Integer-Programming Software Systems," Annals of Operations Research, Springer, vol. 140(1), pages 67-124, November.
    11. Aardal, K. & van Hoesel, C.P.M., 1995. "Polyhedral techniques in combinatorial optimization," Research Memorandum 014, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    12. Agostinho Agra & Cristina Requejo & Eulália Santos, 2016. "Implicit cover inequalities," Journal of Combinatorial Optimization, Springer, vol. 31(3), pages 1111-1129, April.
    13. 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.
    14. Aardal, K.I. & van Hoesel, S., 1995. "Polyhedral Techniques in Combinatorial Optimization," Other publications TiSEM ed028a07-eb6a-4c8d-8f21-d, Tilburg University, School of Economics and Management.
    15. Gavin J. Bell & Bruce W. Lamar & Chris A. Wallace, 1999. "Capacity improvement, penalties, and the fixed charge transportation problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(4), pages 341-355, June.
    16. ORTEGA, Francisco & WOLSEY, Laurence, 2000. "A branch-and-cut algorithm for the single commodity uncapacitated fixed charge network flow problem," LIDAM Discussion Papers CORE 2000049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    17. Masoud Yaghini & Mohammad Karimi & Mohadeseh Rahbar & Mohammad Hassan Sharifitabar, 2015. "A Cutting-Plane Neighborhood Structure for Fixed-Charge Capacitated Multicommodity Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 48-58, February.
    18. 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.
    19. Richard Laundy & Michael Perregaard & Gabriel Tavares & Horia Tipi & Alkis Vazacopoulos, 2009. "Solving Hard Mixed-Integer Programming Problems with Xpress-MP: A MIPLIB 2003 Case Study," INFORMS Journal on Computing, INFORMS, vol. 21(2), pages 304-313, May.
    20. Lawrence C. Leung & Yer Van Hui & Yong Wang & Gang Chen, 2009. "A 0--1 LP Model for the Integration and Consolidation of Air Cargo Shipments," Operations Research, INFORMS, vol. 57(2), pages 402-412, April.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:joptap:v:191:y:2021:i:2:d:10.1007_s10957-021-01875-2. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.