Author(s)

Lucien Zihindula Biguru^1,2

¹Faculty of Sciences, Université Catholique de Bukavu (UCB), Bukavu, Congo.
²Faculty of Sciences, Université Officielle de Bukavu (UOB), Bukavu, Congo.

In this work, we show that when there is insufficient equipment for detecting a disease whose prevalence is t% in a sub-population of size N, it is optimal to divide the N samples into n groups of size r each and then, the value allows systematic screening of all N individuals by performing less than N tests (In this expression, represents the floor function¹ of x ∈ R). Based on this result and on certain functions of the R software, we subsequently propose a probabilistic strategy capable of optimizing the screening tests under certain conditions.

Stochastic Optimization, Binomial Distribution, Systematic Screening, Prevalence, R Software

Biguru, L. (2020) A Stochastic Strategy for Optimizing the Cost of Systematic Screening of Some Diseases in a Situation of Insufficient Equipment. Applied Mathematics, 11, 1253-1274. doi: 10.4236/am.2020.1112086.