Steiner Tree
Educación
Gratis · Diseñada para iPad
This app computes Steiner trees using an evolutionary algorithm. You can place, drag, and delete points of your tree. The optimal number and position of Steiner points is computed.
A minimal spanning tree (MST) connects a given set of points in a plane so that the sum of all edges is minimal. Often this sum of all edges can be reduced, if additional points are added. These points are called Steiner points, and the corresponding minimal spanning tree Steiner tree. If more than 3 points are given, it is a hard optimization problem to compute the optimal number and position of Steiner points.
This app uses a simple evolutionary algorithm for demonstration purposes. It uses a population of individuals. Each individual represents a MST containing some Steiner points. The population develops towards the optimal Steiner tree in an evolutionary loop: Initially, each individual sets random Steiner points, and constructs the corresponding Steiner tree. The minimal length of the Steiner tree in the population is stored. Each individual has now a fitness value, which is the higher, the closer its Steiner tree length is to the minimal length in the population. Fitter individuals have more descendants by reproduction, and less fit individuals die out. In order to explore better solutions, reproduction does not create descendants that are identical to the parent individual, i.e. do not have their Steiner points at the same position. Rather these positions are shifted randomly by mutation, using a Gaussian distribution. How far they are shifted on average is determined also by their fitness: Good individuals shift their Steiner points less than worse individuals.
How fast a good solution is found, depends thus on the population size, and the mutation strength.
Calificaciones y reseñas
Esta app no ha recibido suficientes calificaciones ni reseñas para mostrar un resumen.
Minor internal update for newer iOS versions
El desarrollador (Reinhard MAENNER) indicó que las prácticas de privacidad de la app pueden incluir el manejo de datos que se describe a continuación. Para obtener más detalles, consulta la política de privacidad del desarrollador .
No se recopilan datos
El desarrollador no recopila ningún dato en esta app.
Accesibilidad
El desarrollador aún no ha indicado cuáles funciones de accesibilidad admite esta app. Obtén detalles
Ficha técnica
- Vendedor
- Reinhard MAENNER
- Tamaño
- 677.9 KB
- Categoría
- Educación
- Compatibilidad
Requiere iOS 12.0 o posterior.
- iPhone
Requiere iOS 12.0 o posterior. - iPad
Requiere iPadOS 12.0 o posterior. - iPod touch
Requiere iOS 12.0 o posterior. - Mac
Requiere macOS 11.0 o posterior y una Mac con el chip M1 de Apple o posterior. - Apple Vision
Requiere visionOS 1.0 o posterior.
- Idiomas
- Inglés
- Edad
4+
- 4+
- Copyright
- © zeh4soft