Mathematical optimization
Budget: $15 – $25 USD
I want to do a small optimization to the model that has 5 first order differential equations and an output equation. The goal is to maximize the output and there are 3 parameters that should be optimized. .See attachment. Each of the state is temperature and the parameters are the length of component.
Theta_o is the output, theta_a,u & S are known. Similarly, theta_1 to theta_5 are the states. A, B, C, D, E, F are constants and known. The parameters I want to optimize are d_t, d_r, and d_i. d_c, k_c, k_t, k_r, k_i are also known. Remember I want to maximize the output theta_o. The states are the temperature of various components and output is the temperature of a fluid that passes between some of the components and each component depends on other component. So the goal is to maximize the output temperature by finding the optimized length of each component. And, by increasing the length of the component will increase the cost of a system as well.
Theta_o is the output, theta_a,u & S are known. Similarly, theta_1 to theta_5 are the states. A, B, C, D, E, F are constants and known. The parameters I want to optimize are d_t, d_r, and d_i. d_c, k_c, k_t, k_r, k_i are also known. Remember I want to maximize the output theta_o. The states are the temperature of various components and output is the temperature of a fluid that passes between some of the components and each component depends on other component. So the goal is to maximize the output temperature by finding the optimized length of each component. And, by increasing the length of the component will increase the cost of a system as well.