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Locate vaccination stations considering travel distance, operational cost, and work schedule

Author

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  • Li, Xin
  • Pan, Yanchun
  • Jiang, Shiqiang
  • Huang, Qiang
  • Chen, Zhimin
  • Zhang, Mingxia
  • Zhang, Zuoyao

Abstract

In this study, a multi-objective mixed-integer nonlinear programming (MINLP) model is proposed to help the Center for Disease Control and Prevention (CDC) determine the locations of vaccination stations while, simultaneously, considering travel distance, operational cost, and work schedule. A case based on Nanshan CDC in Shenzhen City of China is also studied. Due to the computational complexity, a two-stage strategy is developed to simplify the MINLP into a mixed-integer linear programming (MILP) model, and then ε-constraint method is applied to handle the multiple conflicting objectives. Our research reveals interesting and valuable results. For a given bound of operational cost, the number of fully open stations can greatly increase by wisely allocating demand groups and medical professionals. Although bearing more cost is in favor of decreasing travel distance, it is not beneficial to invest too much due to the decreasing effect, especially when requiring a high number of fully open stations. Current service capacity is large enough even if the birth rate increases by 50%, regarding the “two-child” policy. The case study validates that the proposed model can provide good Pareto non-inferior solutions for the CDC to balance different objectives and show great potential in locating public healthcare resources.

Suggested Citation

  • Li, Xin & Pan, Yanchun & Jiang, Shiqiang & Huang, Qiang & Chen, Zhimin & Zhang, Mingxia & Zhang, Zuoyao, 2021. "Locate vaccination stations considering travel distance, operational cost, and work schedule," Omega, Elsevier, vol. 101(C).
  • Handle: RePEc:eee:jomega:v:101:y:2021:i:c:s0305048319310011
    DOI: 10.1016/j.omega.2020.102236
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    as
    1. Erdemir, Elif Tokar & Batta, Rajan & Rogerson, Peter A. & Blatt, Alan & Flanigan, Marie, 2010. "Joint ground and air emergency medical services coverage models: A greedy heuristic solution approach," European Journal of Operational Research, Elsevier, vol. 207(2), pages 736-749, December.
    2. Astorino, Annabella & Gaudioso, Manlio & Miglionico, Giovanna, 2018. "Lagrangian relaxation for the directional sensor coverage problem with continuous orientation," Omega, Elsevier, vol. 75(C), pages 77-86.
    3. Mark S. Daskin & Edmund H. Stern, 1981. "A Hierarchical Objective Set Covering Model for Emergency Medical Service Vehicle Deployment," Transportation Science, INFORMS, vol. 15(2), pages 137-152, May.
    4. San-José, L.A. & Sicilia, J. & García-Laguna, J., 2015. "Analysis of an EOQ inventory model with partial backordering and non-linear unit holding cost," Omega, Elsevier, vol. 54(C), pages 147-157.
    5. Paul, Nicholas R. & Lunday, Brian J. & Nurre, Sarah G., 2017. "A multiobjective, maximal conditional covering location problem applied to the relocation of hierarchical emergency response facilities," Omega, Elsevier, vol. 66(PA), pages 147-158.
    6. Liu, Kanglin & Li, Qiaofeng & Zhang, Zhi-Hai, 2019. "Distributionally robust optimization of an emergency medical service station location and sizing problem with joint chance constraints," Transportation Research Part B: Methodological, Elsevier, vol. 119(C), pages 79-101.
    7. Richard Church & Charles R. Velle, 1974. "The Maximal Covering Location Problem," Papers in Regional Science, Wiley Blackwell, vol. 32(1), pages 101-118, January.
    8. Zhang, Zhi-Hai & Unnikrishnan, Avinash, 2016. "A coordinated location-inventory problem in closed-loop supply chain," Transportation Research Part B: Methodological, Elsevier, vol. 89(C), pages 127-148.
    9. Cafieri, Sonia & Omheni, Riadh, 2017. "Mixed-integer nonlinear programming for aircraft conflict avoidance by sequentially applying velocity and heading angle changes," European Journal of Operational Research, Elsevier, vol. 260(1), pages 283-290.
    10. Schuster Puga, Matías & Tancrez, Jean-Sébastien, 2017. "A heuristic algorithm for solving large location–inventory problems with demand uncertainty," European Journal of Operational Research, Elsevier, vol. 259(2), pages 413-423.
    11. Vedat Verter & Sophie Lapierre, 2002. "Location of Preventive Health Care Facilities," Annals of Operations Research, Springer, vol. 110(1), pages 123-132, February.
    12. Kathleen Hogan & Charles ReVelle, 1986. "Concepts and Applications of Backup Coverage," Management Science, INFORMS, vol. 32(11), pages 1434-1444, November.
    13. Zhang, Yue & Berman, Oded & Verter, Vedat, 2009. "Incorporating congestion in preventive healthcare facility network design," European Journal of Operational Research, Elsevier, vol. 198(3), pages 922-935, November.
    14. Mohammadi, M. & Dehbari, S. & Vahdani, Behnam, 2014. "Design of a bi-objective reliable healthcare network with finite capacity queue under service covering uncertainty," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 72(C), pages 15-41.
    15. Lu, Jie & Gupte, Akshay & Huang, Yongxi, 2018. "A mean-risk mixed integer nonlinear program for transportation network protection," European Journal of Operational Research, Elsevier, vol. 265(1), pages 277-289.
    16. Brachner, Markus & Hvattum, Lars Magnus, 2017. "Combined emergency preparedness and operations for safe personnel transport to offshore locations," Omega, Elsevier, vol. 67(C), pages 31-41.
    17. Bhuvnesh Sharma & M. Ramkumar & Nachiappan Subramanian & Bharat Malhotra, 2019. "Dynamic temporary blood facility location-allocation during and post-disaster periods," Annals of Operations Research, Springer, vol. 283(1), pages 705-736, December.
    18. Caunhye, Aakil M. & Li, Mingzhe & Nie, Xiaofeng, 2015. "A location-allocation model for casualty response planning during catastrophic radiological incidents," Socio-Economic Planning Sciences, Elsevier, vol. 50(C), pages 32-44.
    19. Dogru, Ali K. & Melouk, Sharif H., 2019. "Adaptive appointment scheduling for patient-centered medical homes," Omega, Elsevier, vol. 85(C), pages 166-181.
    20. S. L. Hakimi & S. N. Maheshwari, 1972. "Optimum Locations of Centers in Networks," Operations Research, INFORMS, vol. 20(5), pages 967-973, October.
    21. Zhang, Yue & Atkins, Derek, 2019. "Medical facility network design: User-choice and system-optimal models," European Journal of Operational Research, Elsevier, vol. 273(1), pages 305-319.
    22. Boukouvala, Fani & Misener, Ruth & Floudas, Christodoulos A., 2016. "Global optimization advances in Mixed-Integer Nonlinear Programming, MINLP, and Constrained Derivative-Free Optimization, CDFO," European Journal of Operational Research, Elsevier, vol. 252(3), pages 701-727.
    23. Berman, Oded & Drezner, Zvi, 2008. "The p-median problem under uncertainty," European Journal of Operational Research, Elsevier, vol. 189(1), pages 19-30, August.
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    Cited by:

    1. Wang, Xin & Jiang, Ruiwei & Qi, Mingyao, 2023. "A robust optimization problem for drone-based equitable pandemic vaccine distribution with uncertain supply," Omega, Elsevier, vol. 119(C).
    2. Chen, Weiwei & Kumcu, Gül Çulhan & Melamed, Benjamin & Baveja, Alok, 2023. "Managing resource allocation for the recruitment stocking problem," Omega, Elsevier, vol. 120(C).
    3. Mohammadi, Mehrdad & Dehghan, Milad & Pirayesh, Amir & Dolgui, Alexandre, 2022. "Bi‐objective optimization of a stochastic resilient vaccine distribution network in the context of the COVID‐19 pandemic," Omega, Elsevier, vol. 113(C).
    4. Tang, Lianhua & Li, Yantong & Bai, Danyu & Liu, Tao & Coelho, Leandro C., 2022. "Bi-objective optimization for a multi-period COVID-19 vaccination planning problem," Omega, Elsevier, vol. 110(C).
    5. Kamran, Mehdi A. & Kia, Reza & Goodarzian, Fariba & Ghasemi, Peiman, 2023. "A new vaccine supply chain network under COVID-19 conditions considering system dynamic: Artificial intelligence algorithms," Socio-Economic Planning Sciences, Elsevier, vol. 85(C).
    6. Jahani, Hamed & Chaleshtori, Amir Eshaghi & Khaksar, Seyed Mohammad Sadegh & Aghaie, Abdollah & Sheu, Jiuh-Biing, 2022. "COVID-19 vaccine distribution planning using a congested queuing system—A real case from Australia," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 163(C).

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