Author: Lin, Feng; Muthuraman, Kumar; Lawley, Mark
Title: An optimal control theory approach to non-pharmaceutical interventions Document date: 2010_2_19
ID: 0x294f8t_16
Snippet: We can derive a model with a more general vaccine arrival time, but the problem is not currently numerically tractable, that is, algorithms for the general terminal time case present significant challenges and yet to be developed and tested. The exponential assumption ensures we get the discounted value function, which allows for a solution and some insights about the policy. In later sections we tested the model sensitivity to the exponential as.....
Document: We can derive a model with a more general vaccine arrival time, but the problem is not currently numerically tractable, that is, algorithms for the general terminal time case present significant challenges and yet to be developed and tested. The exponential assumption ensures we get the discounted value function, which allows for a solution and some insights about the policy. In later sections we tested the model sensitivity to the exponential assumption. The probability density function (pdf) of T is written as f(T, Φ) = Φe -ΦT , where T ≥ 0.
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