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Problems for dynamic flexibility analysis of exothermic reaction including initial temperature and process operation can be formulated as dynamic optimization problems.
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Next, they are formulated as dynamic programming problems.
These models are formulated as dynamic systems with optimization problems embedded, and progress towards numerical tools for simulation, sensitivity analysis and optimization will be reported.
These were formulated as concretely as possible.
The paper proposes a supervised adaptive dynamic programming (SADP) algorithm for a full-range adaptive cruise control (ACC) system, which can be formulated as a dynamic programming problem with stochastic demands.
The automated design of an optimal process operation can thus be formulated as a dynamic optimization problem with a hybrid system embedded.
It is shown how this problem can be formulated as a dynamic optimization (optimal control) problem where the performance index is usually a scalar function of the Fisher informatioin matrix.
The economic problem can be formulated as a nonlinear dynamic optimization with an isoperimetric constraint.
The reconstructed metabolic network can be formulated as either an FBA or a dynamic FBA model to determine the flux distributions under metabolic steady or dynamic states, respectively.
Mathematically, this optimization can be formulated as.
These can be formulated as follows.
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