Questions tagged [mathematical-optimization]
Questions on the optimization functions of Mathematica such as FindMinimum/FindMaximum, Minimize/Maximize, NMinimize/NMaximize, etc.
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Minimum Distance to Fly to Each European Country
Help me plan my holiday. These are all my available flights that I can get on airline points. I'm trying to work out what is the shortest distance to travel if I want to go to each every European ...
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TimeConstrained and optimization
I am trying to understand why wrapping TimeConstrained[] around optimization, e.g., MinValue[] can sometimes fail.
To reproduce ...
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Checking whether a linear homogeneous system with m equations and n>m unknowns, has m unknowns that are sums with positive coefficients of the others
I call a "pseudo-linear", homogeneous system with m equations positively representable, if it has m terms that are sums with positive coefficients of the others. A class with precisely one &...
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Find the function for a decision variable
I'm currently trying to find the equation for a decision variable from a total profit equation using Mathematica. From what I've read, I can use the solve function to do this. Here's a example i found:...
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Find a parameter to return minimum of the function of several variables
I have two functions $f_1(n,x)$ and $f_2(n,x)$, and I want them to look similar on the given range $n\in[1,20]$. I can only vary the parameter $x$.
In other words I have a function $F(n,x)=f_1(n,x)-...
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Plotting minima of a mutivariable function
Consider a function,
z (x,y) = x^2 + y^2 + 3*x*y.
For a range of x, I like to plot the minimum values of ...
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What is a "small" nonlinear programming problem?
This page https://reference.wolfram.com/language/tutorial/ConstrainedOptimizationComparison.html
says "Even for local optimization, it may still be worth using NMinimize for small problems" ...
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Visualization of Minimization Problem
I am trying to visualize the objective function (f1), the constraint (isoq), and the optimal solution. The optimal solution is at the tangency of both graphs. I can plot the constraint, but the ...
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Calculating time too long for $A\succeq I$, minimize $tr(A)$ when $A$ is of dimension 4
Suppose $A_0$ is a 4*4 matrix, the constraint is $A_0\succeq I$, which means $A_0-I$ is semidefinite positive. The target function is maximum of 1-tr($A_0$), and the answer is -3 when $A_0=I$. However,...
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Make two disks just touch
I have two disks, that I want to make touching each other. One disk is fixed, the other can shift along the x axis. The shift should be determined to make the disks intersecting in one point (or have ...
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Mixed Integer Quadratic Program (MIQP): Kernel crashes during computation
I am solving an optimal placement problem using MIQP (Mixed Integer Quadratic Program, using the QuadraticOptimization function WM version 14). The objective ...
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How Can I Relax a Molecule in Mathematica?
I have a molecule in Mathematica. It consists of around 70 atoms, but let us for simplicity assume that we only have four atoms:
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