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- Nearest_neighbour_algorithm abstract "The nearest neighbour algorithm was one of the first algorithms used to determine a solution to the travelling salesman problem. In it, the salesman starts at a random city and repeatedly visits the nearest city until all have been visited. It quickly yields a short tour, but usually not the optimal one.Below is the application of nearest neighbour algorithm on TSPThese are the steps of the algorithm: stand on an arbitrary vertex as current vertex. find out the shortest edge connecting current vertex and an unvisited vertex V. set current vertex to V. mark V as visited. if all the vertices in domain are visited, then terminate. Go to step 2.The sequence of the visited vertices is the output of the algorithm.The nearest neighbour algorithm is easy to implement and executes quickly, but it can sometimes miss shorter routes which are easily noticed with human insight, due to its "greedy" nature. As a general guide, if the last few stages of the tour are comparable in length to the first stages, then the tour is reasonable; if they are much greater, then it is likely that there are much better tours. Another check is to use an algorithm such as the lower bound algorithm to estimate if this tour is good enough.In the worst case, the algorithm results in a tour that is much longer than the optimal tour. To be precise, for every constant r there is an instance of the traveling salesman problem such that the length of the tour computed by the nearest neighbour algorithm is greater than r times the length of the optimal tour. 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.The nearest neighbour algorithm may not find a feasible tour at all, even when one exists.".
- Nearest_neighbour_algorithm wikiPageID "41926".
- Nearest_neighbour_algorithm wikiPageRevisionID "591797722".
- Nearest_neighbour_algorithm hasPhotoCollection Nearest_neighbour_algorithm.
- Nearest_neighbour_algorithm subject Category:Approximation_algorithms.
- Nearest_neighbour_algorithm subject Category:Graph_algorithms.
- Nearest_neighbour_algorithm subject Category:Heuristic_algorithms.
- Nearest_neighbour_algorithm subject Category:Travelling_salesman_problem.
- Nearest_neighbour_algorithm type Abstraction100002137.
- Nearest_neighbour_algorithm type Act100030358.
- Nearest_neighbour_algorithm type Activity100407535.
- Nearest_neighbour_algorithm type Algorithm105847438.
- Nearest_neighbour_algorithm type ApproximationAlgorithms.
- Nearest_neighbour_algorithm type Event100029378.
- Nearest_neighbour_algorithm type GraphAlgorithms.
- Nearest_neighbour_algorithm type HeuristicAlgorithms.
- Nearest_neighbour_algorithm type Procedure101023820.
- Nearest_neighbour_algorithm type PsychologicalFeature100023100.
- Nearest_neighbour_algorithm type Rule105846932.
- Nearest_neighbour_algorithm type YagoPermanentlyLocatedEntity.
- Nearest_neighbour_algorithm comment "The nearest neighbour algorithm was one of the first algorithms used to determine a solution to the travelling salesman problem. In it, the salesman starts at a random city and repeatedly visits the nearest city until all have been visited. It quickly yields a short tour, but usually not the optimal one.Below is the application of nearest neighbour algorithm on TSPThese are the steps of the algorithm: stand on an arbitrary vertex as current vertex.".
- Nearest_neighbour_algorithm label "Algoritmo do vizinho mais próximo".
- Nearest_neighbour_algorithm label "Algorytm najbliższego sąsiada".
- Nearest_neighbour_algorithm label "Nearest neighbour algorithm".
- Nearest_neighbour_algorithm label "Nearest-Neighbor-Heuristik".
- Nearest_neighbour_algorithm label "Алгоритм ближайшего соседа в задаче коммивояжёра".
- Nearest_neighbour_algorithm label "最近傍法".
- Nearest_neighbour_algorithm sameAs Nearest-Neighbor-Heuristik.
- Nearest_neighbour_algorithm sameAs Algoritmo_del_vecino_más_próximo.
- Nearest_neighbour_algorithm sameAs 最近傍法.
- Nearest_neighbour_algorithm sameAs Algorytm_najbliższego_sąsiada.
- Nearest_neighbour_algorithm sameAs Algoritmo_do_vizinho_mais_próximo.
- Nearest_neighbour_algorithm sameAs m.0bjgr.
- Nearest_neighbour_algorithm sameAs Q1374523.
- Nearest_neighbour_algorithm sameAs Q1374523.
- Nearest_neighbour_algorithm sameAs Nearest_neighbour_algorithm.
- Nearest_neighbour_algorithm wasDerivedFrom Nearest_neighbour_algorithm?oldid=591797722.
- Nearest_neighbour_algorithm isPrimaryTopicOf Nearest_neighbour_algorithm.