# How To Solve Travelling Salesman Problem

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You can also add cities to maps created by the “Place” button by clicking in the map.

The travelling salesman problem is usually formulated in terms of minimising the path length to visit all of the cities, but the process of simulated annealing works just as well with a goal of maximising the length of the itinerary.

If you change the goal in the drop-down list from “Minimise” to “Maximise”, the cost function being optimised will be the negative of the path length, resulting in a search for the longest path.

If negative, the modified path is shorter than the original path and always replaces it.

If there is an increase in cost, however, the exponential of its negative magnitude divided by the current temperature is compared to a uniformly distributed random number between 0 and 1 and, if greater, the modified path will be used even though it increased the cost.

## Comments How To Solve Travelling Salesman Problem

• ###### Solving the Travelling Salesman Problem With a Particle Swarm Optimizer.

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.…

• ###### Travelling Salesman Problem using Genetic Algorithm

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…

• ###### A Genetic Algorithm for Solving Travelling Salesman Problem

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.…

• ###### Online Traveling Salesman Problem Solver

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?…

• ###### The Traveling Salesman Problem - edu

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.…

• ###### Travelling Salesman Problem - Aalborg Universitet

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