# Tagged Questions

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### Global optimization

Assume that I want to find the global minimum of a non-linear, non-convex, multidimensional function subject to several restrictions. Could you recommend me any deterministic strategy which can ...
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### How to determine if a convex polytope is contained in a union of convex polytopes?

Given that we are in a Euclidean space of dimension d, that we have a bounded convex H-defined polytope P, and N possibly unbounded convex H-defined polytopes, I am looking for an "efficient" ...
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### Connected graph where edge costs depend on a parameter $t$. Find the $t^*$ which gives the minimum cost minimum spanning tree.

The set-up: Let $G=(\,V,\,E\,)$ be a connected graph. Associated with every edge $e\in E$ is a cost/weight function $f_e(t) = a_e t^2 + b_e t + c_e$, where $a_e>0$. For a fixed $t$ we can define ...
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### How to recognize if an algorithm working on ordinal data will also work if the ordering is reversed?

Inspired by a comment on this question. Assume that I have an algorithm which uses ordinally scaled data. The algorithm in the original question was the solution of the Secretary Problem. It uses ...
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### How do I guess an intital step length in a line search (minimization)?

I am currently trying to write a "simple" minimizer for a function $y = f(x)$ where $x$ is a multidimensional vector and $y$ is a real number where I have access to the derivate vector. If I have a ...
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### Minimizing the distance between points in two sets

Given two sets $A, B\subset \mathbb{N}^2$, each with finite cardinality, what's the most efficient algorithm to compute $\min_{u\in A, v\in B}d(u, v)$ where $d(u,v)$ is the (Euclidean) distance ...
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### GA (Genetic Algorithm) and stochastic simulation to solve optimization in R

My problem is to solve the following optimisation problem using GA (Genetic Algorithm)and stochastic simulation. The goal is to solve the maximisation problem : \begin{equation*} \begin{aligned} ...
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### organizing rectangles on top of each other

We have some rectangles that should be organized in a number of columns. Each column height should be in the range of $[H, H+d]$ in which $d$ is a small number relative to the height of the ...
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### Operational Research. (Ressource Management)

I am looking for a solution that i know exists already in the field of "Operational Research"... I Just can't put my finger on the name of the thing. An heuristic to solve a very common and simple ...
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### Algorithm Request, choosing rows from a sparse table of integers to sum to a minimum row value

I'm writing some software, and one part of the software needs to be able to solve this problem as well as possible. Consider a table of integers and goal, for example: T = \begin{array} ...