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Stochastic facility location model for drones considering uncertain flight distance

Author

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  • Dongwook Kim

    (Seoul National University)

  • Kyungsik Lee

    (Seoul National University)

  • Ilkyeong Moon

    (Seoul National University)

Abstract

This paper developed a stochastic modelling framework to determine the locations and transport capacities of drone facilities for effectively coping with a disaster. The developed model is applicable to emergency planning that incorporates drones into humanitarian logistics while taking into account the uncertain characteristics of drone operating conditions. Because of the importance of speedy decision making in disaster management, a heuristic algorithm was developed using Benders decomposition, which generates time-efficient high-quality solutions. The linear programming rounding method was used to make the algorithm efficient. Computational experiments demonstrated the superiority of the developed algorithm, and a sensitivity analysis was carried out to gain additional insights.

Suggested Citation

  • Dongwook Kim & Kyungsik Lee & Ilkyeong Moon, 2019. "Stochastic facility location model for drones considering uncertain flight distance," Annals of Operations Research, Springer, vol. 283(1), pages 1283-1302, December.
  • Handle: RePEc:spr:annopr:v:283:y:2019:i:1:d:10.1007_s10479-018-3114-6
    DOI: 10.1007/s10479-018-3114-6
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    References listed on IDEAS

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    1. Paul, Jomon Aliyas & MacDonald, Leo, 2016. "Location and capacity allocations decisions to mitigate the impacts of unexpected disasters," European Journal of Operational Research, Elsevier, vol. 251(1), pages 252-263.
    2. Berman, Oded & Krass, Dmitry & Drezner, Zvi, 2003. "The gradual covering decay location problem on a network," European Journal of Operational Research, Elsevier, vol. 151(3), pages 474-480, December.
    3. Akash Tayal & Angappa Gunasekaran & Surya Prakash Singh & Rameshwar Dubey & Thanos Papadopoulos, 2017. "Formulating and solving sustainable stochastic dynamic facility layout problem: a key to sustainable operations," Annals of Operations Research, Springer, vol. 253(1), pages 621-655, June.
    4. S Meng & B-C Shia, 2013. "Set covering location models with stochastic critical distances," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(7), pages 945-958, July.
    5. A. M. Geoffrion & G. W. Graves, 1974. "Multicommodity Distribution System Design by Benders Decomposition," Management Science, INFORMS, vol. 20(5), pages 822-844, January.
    6. Goldberg, Jeffrey & Dietrich, Robert & Ming Chen, Jen & Mitwasi, M. George & Valenzuela, Terry & Criss, Elizabeth, 1990. "Validating and applying a model for locating emergency medical vehicles in Tuczon, AZ," European Journal of Operational Research, Elsevier, vol. 49(3), pages 308-324, December.
    7. Chowdhury, Sudipta & Emelogu, Adindu & Marufuzzaman, Mohammad & Nurre, Sarah G. & Bian, Linkan, 2017. "Drones for disaster response and relief operations: A continuous approximation model," International Journal of Production Economics, Elsevier, vol. 188(C), pages 167-184.
    8. Karatas, Mumtaz, 2017. "A multi-objective facility location problem in the presence of variable gradual coverage performance and cooperative cover," European Journal of Operational Research, Elsevier, vol. 262(3), pages 1040-1051.
    9. Niels Agatz & Paul Bouman & Marie Schmidt, 2018. "Optimization Approaches for the Traveling Salesman Problem with Drone," Transportation Science, INFORMS, vol. 52(4), pages 965-981, August.
    10. Marín, Alfredo & Martínez-Merino, Luisa I. & Rodríguez-Chía, Antonio M. & Saldanha-da-Gama, Francisco, 2018. "Multi-period stochastic covering location problems: Modeling framework and solution approach," European Journal of Operational Research, Elsevier, vol. 268(2), pages 432-449.
    11. Jordi Pereira & Igor Averbakh, 2013. "The Robust Set Covering Problem with interval data," Annals of Operations Research, Springer, vol. 207(1), pages 217-235, August.
    12. Oleg Burdakov & Jonas Kvarnström & Patrick Doherty, 2017. "Optimal scheduling for replacing perimeter guarding unmanned aerial vehicles," Annals of Operations Research, Springer, vol. 249(1), pages 163-174, February.
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    Cited by:

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    2. Dukkanci, Okan & Koberstein, Achim & Kara, Bahar Y., 2023. "Drones for relief logistics under uncertainty after an earthquake," European Journal of Operational Research, Elsevier, vol. 310(1), pages 117-132.
    3. Juan F. Gomez & Anna Martínez-Gavara & Javier Panadero & Angel A. Juan & Rafael Martí, 2024. "A Forward–Backward Simheuristic for the Stochastic Capacitated Dispersion Problem," Mathematics, MDPI, vol. 12(6), pages 1-22, March.
    4. Dukkanci, Okan & Campbell, James F. & Kara, Bahar Y., 2024. "Facility location decisions for drone delivery: A literature review," European Journal of Operational Research, Elsevier, vol. 316(2), pages 397-418.
    5. Jin, Zhongyi & Ng, Kam K.H. & Zhang, Chenliang & Liu, Wei & Zhang, Fangni & Xu, Gangyan, 2024. "A risk-averse distributionally robust optimisation approach for drone-supported relief facility location problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).
    6. Dönmez, Zehranaz & Kara, Bahar Y. & Karsu, Özlem & Saldanha-da-Gama, Francisco, 2021. "Humanitarian facility location under uncertainty: Critical review and future prospects," Omega, Elsevier, vol. 102(C).
    7. Zhao, Lei & Bi, Xinhua & Li, Gendao & Dong, Zhaohui & Xiao, Ni & Zhao, Anni, 2022. "Robust traveling salesman problem with multiple drones: Parcel delivery under uncertain navigation environments," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).

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