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Optimizing Hospital Infection Control: The Role of Mathematical Modeling
Infection Control & Hospital Epidemiology, 2014Multidrug-resistant bacteria are major causes of nosocomial infections and are associated with considerable morbidity, mortality, and healthcare costs. Preventive strategies have therefore become increasingly important. Mathematical modeling has been widely used to understand the transmission dynamics of nosocomial infections and the quantitative ...
Doan, Tan N. +3 more
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Mathematical Fundamentals of Optimal Control
1998To describe and study dynamic systems, the notions of system state, control effort and performance measure must be clarified. System state is a set of parameters that characterize the system at each time. The state parameters vary gradually and cannot instantly jump.
Oded Maimon +2 more
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Optimal control of ultradiffusion processes with application to mathematical finance
International Journal of Computer Mathematics, 2014We introduce the optimal control problem associated with ultradiffusion processes as a stochastic differential equation constrained optimization of the expected system performance over the set of feasible trajectories. The associated Bellman function is characterized as the solution to a Hamilton–Jacobi equation evaluated along an optimal process.
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Mathematical Methods of Optimal Control
Technometrics, 1972Albert Bishop +2 more
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Adaptive Controllers for Mathematical Optimization Models
2011Adaptive model controllers are promising candidates for extending DSS for dynamic process planning problems. They are designed to feed back variations of model assumptions about the severity of a process control problem to the model base during the process control phase.
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Stochastic optimal control in mathematical finance
Communications in Optimization TheorySummary: The general area of mathematical finance presents some interesting and challenging problems of \textit{stochastic optimal control}, which are typically of two distinct kinds, namely problems of \textit{mean-square minimization} and problems of \textit{utility maximization}. Often these optimal control problems are not especially well suited to
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Optimal control and mathematical models in epidemiology
2020In this PhD thesis, we prove sufficient optimality conditions for delayed optimal control problems, by transforming them into equivalent non-delayed problems. Such transformation is done by considering a technique proposed by Guinn in 1976 and later promoted by Maurer and his collaborators.
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Mathematical innovations fostering the energy transition – Control and optimization
at - Automatisierungstechnik, 2020Timm Faulwasser +2 more
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