A stochastic programming model of vaccine preparation and administration for seasonal influenza interventions

Sheng-I Chen*, Chia Yuan Wu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This study considers the integration of vaccine preparation and administration decisions for seasonal influenza interventions. We examine actual vaccination activities of sharing multiple vaccine products and supplementary vaccinations. A two-stage stochastic program is formulated to determine the optimal ordering and allocation of vaccines under uncertain attack rates, vaccine efficacies, and demands. We present an algorithm based on the sample average approximation and warm-start solution to solve the stochastic integer program with continuous random variables. Furthermore, the optimal solution for the deterministic model using the expected value is analyzed and obtained directly. Our analysis compares the deterministic and stochastic solutions to assess the impact of uncertainties on the immunization outcomes and costs. The result shows that the stochastic programming model provides a more robust solution than the deterministic model, and uncertain characteristics should consider when making public health decisions.

Original languageEnglish
Pages (from-to)2984-2997
Number of pages14
JournalMathematical Biosciences and Engineering
Volume17
Issue number4
DOIs
StatePublished - 31 Mar 2020

Keywords

  • Sampleaverage approximation
  • Seasonal influenza
  • Stochastic integer programming
  • Vaccination activities

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