find an optimal value for t(time) on interval [t_min, t_max]
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I want to find minimum time (t) between the interval [t_min, t_max]. I have found different algorithms, like steepest descent method, simplex method. And I am not sure how to approach this methods, say steepest descent algorthim, and how to select the tolerance value. so any help would be appreciated if I get how to implement steepest descent method to find optimal t on the interval [t_min,t_max].
Thanks in advance
Hashir
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Sam Chak
2022 年 7 月 8 日
I think I get what you mean. However, without understanding the nature of your problem, it is difficult to give a particular suggestion. Try reading about Brachistochrone curve and the Calculus of variations.
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1059165/image.gif)
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Sam Chak
2022 年 7 月 8 日
編集済み: Sam Chak
2022 年 7 月 8 日
Since you understand the mathematics of Calculus of Variations and the Brachistochrone problem, I presume that you are really good at math but that doesn't solve your problem.
If this is 2D flat surface problem, I guess you need to find the shortest path to the target location, and naturally, that will be the minimum fuel consumption required. Read about the following:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/1059220/image.gif)
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