Optimal Multi-Therapeutic HIV Treatment Using a Global Optimal Switching Scheme
The problem of multi-therapeutic HIV treatment is posed in this study as a switching problem to find the optimal switching time between the different therapies. To solve the optimal switching problem with nonlinear subsystems an algorithm is developed for learning the cost-to-go as a function versus different switching times and different initial conditions. Once the function is obtained in a closed form, finding optimal switching time for every given initial condition reduces to a function optimization. Through numerical simulations of a model for the HIV problem, the proposed algorithm is shown to be a useful tool for solving this class of problems.
A. Heydari and S. N. Balakrishnan, "Optimal Multi-Therapeutic HIV Treatment Using a Global Optimal Switching Scheme," Applied Mathematics and Computation, vol. 219, no. 14, pp. 7872-7881, Elsevier, Jan 2013.
The definitive version is available at http://dx.doi.org/10.1016/j.amc.2013.01.070
Mechanical and Aerospace Engineering
Keywords and Phrases
Optimal Switching; HIV Treatment; Neural Network
Article - Journal
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