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On the mass COVID-19 vaccination scheduling problem.

Chuang Zhang1, Yantong Li2, Junhai Cao1

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Summary

This study optimizes mass COVID-19 vaccination scheduling by selecting sites, accepting appointments, and sequencing vaccinations to minimize costs and travel. A matheuristic efficiently solves large-scale problems for practical decision-making.

Keywords:
Appointment schedulingCOVID-19Logic-based Benders decompositionMass vaccinationMatheuristic

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Area of Science:

  • Operations Research
  • Public Health Policy
  • Epidemiology

Background:

  • The COVID-19 pandemic necessitates efficient mass vaccination strategies.
  • Mass vaccination programs face significant logistical challenges in scheduling and resource allocation.
  • Optimizing vaccination site selection and appointment management is crucial for pandemic control.

Purpose of the Study:

  • To develop an optimization model for mass COVID-19 vaccination site selection, appointment acceptance, assignment, and scheduling.
  • To minimize operational costs, recipient travel distances, appointment rejections, and vaccination delays.
  • To provide decision-makers with effective tools for managing large-scale vaccination efforts.

Main Methods:

  • Formulation of the problem as a mixed-integer linear program (MILP).
  • Development of an exact logic-based Benders decomposition (LBBD) method.
  • Implementation of a matheuristic (MH) method for solving large-scale instances.
  • Numerical experiments on instances ranging from small to large sizes.

Main Results:

  • The proposed MILP model and solution methods effectively address the vaccination scheduling problem.
  • Optimal solutions were found for small instances, and near-optimal solutions for large instances.
  • The matheuristic method demonstrated efficiency in solving practical-sized problems (up to 500 appointments, 50 sites).

Conclusions:

  • The developed optimization approaches provide valuable insights for mass COVID-19 vaccination planning.
  • The matheuristic offers an efficient solution for real-world, large-scale vaccination scheduling challenges.
  • Managerial implications support decision-makers in optimizing vaccination rollout and resource allocation.