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Finding optimal vaccination strategies under parameter uncertainty using stochastic programming
Authors:Tanner Matthew W  Sattenspiel Lisa  Ntaimo Lewis
Institution:a Department of Industrial and Systems Engineering, Texas A&M University, 241 Zachry, 3131 TAMU, College Station, TX 77843-3131, USA
b Department of Anthropology, University of Missouri, 105 Swallow Hall, Columbia, MO 65211-1440, USA
Abstract:We present a stochastic programming framework for finding the optimal vaccination policy for controlling infectious disease epidemics under parameter uncertainty. Stochastic programming is a popular framework for including the effects of parameter uncertainty in a mathematical optimization model. The problem is initially formulated to find the minimum cost vaccination policy under a chance-constraint. The chance-constraint requires that the probability that R(*)
Keywords:Parameter uncertainty  Epidemic model  Vaccination  Stochastic programming  Chance constraints
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