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Solution of a travelling salesperson problem: the black line shows the shortest possible loop that connects every red dot. The travelling salesman problem, also known as the travelling salesperson problem (TSP), asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns ...
The distance between two points in physical space is the length of a straight line between them, which is the shortest possible path. This is the usual meaning of distance in classical physics, including Newtonian mechanics. Straight-line distance is formalized mathematically as the Euclidean distance in two- and three-dimensional space.
Moreover, for each number of cities there is an assignment of distances between the cities for which the nearest neighbor heuristic produces the unique worst possible tour. (If the algorithm is applied on every vertex as the starting vertex, the best path found will be better than at least N/2-1 other tours, where N is the number of vertices.)
A Boeing 777 from the United States landing at London Heathrow Airport air travel is the most popular means of long-distance passenger travel in the United States. Hartsfield–Jackson Atlanta International Airport in the Atlanta metropolitan area is the world's busiest airport by passenger traffic with 93.6 million passengers annually in 2022.
An intercity bus service ( North American English) or intercity coach service ( British English and Commonwealth English ), also called a long-distance, express, over-the-road, commercial, long-haul, or highway bus or coach service, is a public transport service using coaches to carry passengers significant distances between different cities ...
The great-circle distance, orthodromic distance, or spherical distance is the distance along a great circle . It is the shortest distance between two points on the surface of a sphere, measured along the surface of the sphere (as opposed to a straight line through the sphere's interior). The distance between two points in Euclidean space is the ...
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