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An integer programming approach to the bloodmobile routing problem

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  • Gunpinar, Serkan
  • Centeno, Grisselle

Abstract

Every day, a blood center must determine a set of locations among a group of potential sites to route their vehicles for blood collection so as to avoid shortfalls. In this study, a vehicle routing problem is modeled using an integer programming approach to simultaneously identify number of bloodmobiles to operate and minimize the distance travelled. Additionally, the model is extended to incorporate uncertainty in blood potentials and variable durations in bloodmobile visits. Optimal routings are determined using CPLEX solver and branch-and-price algorithm. Results show that proposed algorithm solve the problem to optimality up to 30 locations within 3600s.

Suggested Citation

  • Gunpinar, Serkan & Centeno, Grisselle, 2016. "An integer programming approach to the bloodmobile routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 86(C), pages 94-115.
    • Handle: RePEc:eee:transe:v:86:y:2016:i:c:p:94-115
    DOI: 10.1016/j.tre.2015.12.005
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    Cited by:

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    4. Lowalekar, Harshal & Ravi, R. Raghavendra, 2017. "Revolutionizing blood bank inventory management using the TOC thinking process: An Indian case study," International Journal of Production Economics, Elsevier, vol. 186(C), pages 89-122.
    5. Elmira Farrokhizadeh & Seyed Amin Seyfi-Shishavan & Sule Itir Satoglu, 2022. "Blood supply planning during natural disasters under uncertainty: a novel bi-objective model and an application for red crescent," Annals of Operations Research, Springer, vol. 319(1), pages 73-113, December.
    6. Paredes-Belmar, Germán & Marianov, Vladimir & Bronfman, Andrés & Obreque, Carlos & Lüer-Villagra, Armin, 2016. "A milk collection problem with blending," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 94(C), pages 26-43.
    7. Xiang Li & Haoyue Fan & Jiaming Liu & Qifeng Xun, 2022. "Staff scheduling in blood collection problems," Annals of Operations Research, Springer, vol. 316(1), pages 365-400, September.
    8. Eda Yücel & F. Sibel Salman & Burçin Bozkaya & Cemre Gökalp, 2020. "A data-driven optimization framework for routing mobile medical facilities," Annals of Operations Research, Springer, vol. 291(1), pages 1077-1102, August.
    9. M. Rezaei Kallaj & M. Hasannia Kolaee & S. M. J. Mirzapour Al-e-hashem, 2023. "Integrating bloodmobiles and drones in a post-disaster blood collection problem considering blood groups," Annals of Operations Research, Springer, vol. 321(1), pages 783-811, February.
    10. Alexander Jungwirth & Guy Desaulniers & Markus Frey & Rainer Kolisch, 2022. "Exact Branch-Price-and-Cut for a Hospital Therapist Scheduling Problem with Flexible Service Locations and Time-Dependent Location Capacity," INFORMS Journal on Computing, INFORMS, vol. 34(2), pages 1157-1175, March.

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