A Stochastic Strategy for Optimizing the Cost of Systematic Screening of Some Diseases in a Situation of Insufficient Equipment

• 作者: Lucien Zihindula Biguru
• 来源期刊: 应用数学(英文)
• 学科: 医学
• 关键词: Stochastic Optimization Binomial Distribution Systematic Screening PREVALENCE R Software
• 年，卷（期）: 2020,（12）
• 页码范围: 1253-1274
• 页数: 22页
• 分类号: R73

摘要

In this work, we show that when there is insufficient equipment for detecting a disease whose prevalence is <em>t</em>% in a sub-population of size <em>N</em>, it is optimal to divide the <em>N</em> samples into <em>n</em> groups of size r each and then, the value <img src="Edit_ce149849-3742-48fe-820b-02ccc0c92d83.bmp" alt="" /> allows systematic screening of all <em>N</em> individuals by performing less than <em>N</em> tests (In this expression, <img src="Edit_987eb236-a883-4894-ba2d-52bde5f35056.bmp" alt="" /> represents the floor function¹ of <em>x</em> ∈ 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.