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Title page for ETD etd-08072007-131152


Type of Document Master's Thesis
Author Wei, Xin
Author's Email Address xwei2@student.gsu.edu
URN etd-08072007-131152
Title An Optimal Solution On Screening And Treatment Of Chlamydia Trachomatis And Neisseria Gonorrhoeae
Degree Master of Science
Department Mathematics and Statistics
Advisory Committee
Advisor Name Title
Guantao Chen Committee Chair
George Davis Committee Member
Guoyu Tao Committee Member
Keywords
  • knapsack problem
  • dynamic programming
  • mix-integer programming
  • operations research
Date of Defense 2007-04-07
Availability unrestricted
Abstract
We propose a resource allocation model for the management of the fund for the screening

and treatment of women infected by Chlamydia trachomatis and Neisseria gonorrhoeae .

The goal is to maximize the number of infected women cured of Chlamydia trachomatis and

Neisseria gonorrhoeae infections. The population going for screening is divided into groups

by ages and races. The group number is dynamic. Di erent groups have di erent infection

rates. There are four possible test assays and four possible treatments. We employed a

two-phase algorithm to solve the problem. The first phase is small so an exhaustive method

is applied, while the second phase is transformed to a knapsack problem and a dynamic

programming method is applied.

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