# How To Solve Travelling Salesman Problem In each case, the solution appears in a fraction of a second.Now, these solutions are not guaranteed to be absolutely optimal; they may be a percent or two longer than the absolute best path (if you click “Solve” multiple times, you may see several different solutions, all of which are close in total path length).

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Instead of using the “Place” button to randomly place cities, you can place them manually by pressing “New” to clear the map and then click the mouse in the map to indicate the city locations.The temperature falls in a series of steps on an exponential decay schedule where, on each step, the temperature is 0.9 times that of the previous step.The process of annealing starts with a path which simply lists all of the cities in the order their positions were randomly selected (this is the path you'll see after pressing the “Place” button).Note that initially, when the temperature is high, there will be a greater probability of making such changes, but that as the temperature falls, only smaller increases in cost will be accepted.The total number of changes tested at each temperature level is arbitrarily set to 100 times the number of cities in the path, and after ten times the number of changes which decrease the path length as the number of cities are found, the temperature is decreased and the search continued.On each temperature step, a number of random transformations of the path are made.First of all, a segment of the path is selected, with its start and end cities chosen at random. As you can see, these numbers grow very rapidly, so as you increase the number of cities, the number of paths you have to compare blows up in a combinatorial explosion which makes finding the optimal path by brute force computation a hopeless undertaking.Try clicking “Place” and then “Solve” several times to create and solve new problems, then increase the number of cities to 50 and then 100 and try solving those problems.They will initially be connected by paths in the order you placed the cities.You can also add cities to maps created by the “Place” button by clicking in the map.

## Comments How To Solve Travelling Salesman Problem

• ###### Travelling Salesman Problem - Aalborg Universitet
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Travelling Salesman Problem An implementation of a branch and bound algorithm to solve the Travelling Salesman Problem TSP. Course Communication Networks and Ambient Intelligence…

• ###### Travelling Salesman Problem using Genetic Algorithm
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The Travelling Salesman problem TSP The Travelling Salesman Problem TSP is a classic combinatorial optimization problem, which is simple to state but very difficult t o solve. This problem is known to be NP-hard, and cannot be solved exactly in polynomial time. Many exact and heuristic algorithms…

• ###### Using Self-Organizing Maps to solve the Traveling Salesman Problem
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The Traveling Salesman Problem is a well known challenge in Computer Science it consists on finding the shortest route possible that traverses all cities in a given map only once. Although its simple explanation, this problem is, indeed, NP-Complete.…

• ###### Online Traveling Salesman Problem Solver
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Wikipedia defines the “Traveling Salesman Problem” this way. given a number of cities and the costs of travelling from any city to any other city, what is the least-cost round-trip route that visits each city exactly once and then returns to the starting city?…

• ###### Traveling Salesman Problem Calculator
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Traveling Salesman Problem Calculator The applet illustrates implements heuristic methods for producing approximate solutions to the Traveling Salesman Problem. By experimenting with various methods and variants of methods one can successively improve the route obtained.…

• ###### Solving the Travelling Salesman Problem - Mathematica
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I've been trying to find some kind of mathematical computer software to solve the Travelling Salesman Problem. The Excel Solver is able to do it, but I've noticed there is a built-in function in Mathematica TravelingSalesmang finds an optimal traveling salesman tour in graph g.…

• ###### A Genetic Algorithm for Solving Travelling Salesman Problem
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Optimization problem because it is a conceptually simple problem but hard to solve. It is an NP complete problem. A Classical Traveling Salesman Problem TSP can be defined as a problem where starting from a node is required to visit every other node only once in a way that the total distance covered is minimized.…

• ###### The Traveling Salesman Problem - edu
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Those two vertices. The traveling salesman problem is solved if there exists a shortest route that visits each destination once and permits the salesman to return home. This route is called a Hamiltonian Cycle and will be explained in Chapter 2. The traveling salesman problem can be divided into two types the problems where there is a path.…

• ###### Missing puzzle piece' to help solve the infamous Travelling Salesman.
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A "missing puzzle piece" to help solve the infamous Travelling Salesman Problem TSP has been developed in Australia, researchers say. The algorithm, called Kookaburra, was developed at Flinders.…

• ###### Solving the Travelling Salesman Problem With a Particle Swarm Optimizer.
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It is a well-documented problem with many standard example lists of cities. There have been lots of papers written on how to use a PSO to solve this problem. The method used here is based on an article named, A combination of genetic algorithm and particle swarm optimization method for solving traveling salesman problem.…