By William Cook
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Given a list of cities and the distance to travel between each pair of them, the traveling salesman problem, or TSP for short, asks for the shortest route to visit each city and to return to the starting point. The Concorde App computes exact optimal solutions for TSP, based on the Concorde code by Applegate, Bixby, Chvatal, and Cook. Instances of 1,000 or more cities can often be solved exactly, with all computations carried out locally on your iPhone or iPad. The app is a companion to the book "In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation", William Cook, Princeton University Press, 2012.
Includes Exact TSP Solver, TSP Art, Map Routing, Tour-Finding Heuristics, Minimum Spanning Tree, and Perfect Matching modules.
What's New in Version 1.5
Animations of perfect matching and spanning tree algorithms. Now you can pause animations and enter a step-by-step mode to see the progress of the solution methods for TSP cutting planes, tour heuristics, spanning trees, Held-Karp 1-trees, and Edmonds' blossom algorithm.
For education and fun!
Exact solutions to the traveling salesman problem have driven the development of integer optimization for a long time. This app provides a beautiful, fun to watch, visualization of the run of such a process. Maps can be generated randomly, read from the Internet, or chosen from some built-in examples.
As an extra, photos from your iPhone can be turned into exciting line art!
The current version has many illustrative animations that can help students understand complex combinatorial algorithms visually.