• Thumbnail for Travelling salesman problem
    In the theory of computational complexity, the travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances...
    87 KB (11,633 words) - 21:17, 27 May 2025
  • peddler. Travelling salesman may also refer to: Travelling salesman problem, in discrete or combinatorial optimization The Traveling Salesman, a 1908 play...
    954 bytes (146 words) - 19:27, 2 December 2022
  • The Bottleneck traveling salesman problem (bottleneck TSP) is a problem in discrete or combinatorial optimization. The problem is to find the Hamiltonian...
    8 KB (951 words) - 19:54, 12 October 2024
  • approximation is described by Jon Bentley for solving the travelling salesman problem (TSP): "Given a list of cities and the distances between each pair...
    10 KB (1,364 words) - 21:40, 5 May 2025
  • Travelling Salesman is a 2012 intellectual thriller film about four mathematicians who solve the P versus NP problem, one of the most challenging mathematical...
    7 KB (687 words) - 18:17, 24 November 2024
  • Thumbnail for Chinese postman problem
    unlike the Travelling Salesman Problem which is NP-hard. It is different from the Travelling Salesman Problem in that the travelling salesman cannot repeat...
    10 KB (1,297 words) - 19:53, 11 April 2025
  • The Steiner traveling salesman problem (Steiner TSP, or STSP) is an extension of the traveling salesman problem. Given a list of cities, some of which...
    3 KB (358 words) - 23:44, 26 May 2025
  • and traveling. The traveling salesman problem (TSP) is a special case of this problem. The problem can be seen as a generalization of the traveling salesman...
    2 KB (204 words) - 12:09, 16 July 2024
  • The analyst's traveling salesman problem is an analog of the traveling salesman problem in combinatorial optimization. In its simplest and original form...
    6 KB (931 words) - 07:55, 11 December 2022
  • Thumbnail for Greedy algorithm
    reasonable amount of time. For example, a greedy strategy for the travelling salesman problem (which is of high computational complexity) is the following...
    17 KB (1,918 words) - 15:30, 5 March 2025
  • Thumbnail for NP-hardness
    NP-hardness (redirect from NP-Hard Problem)
    nodes of a weighted graph—commonly known as the travelling salesman problem—is NP-hard. The subset sum problem is another example: given a set of integers...
    9 KB (1,119 words) - 00:35, 28 April 2025
  • Thumbnail for Simulated annealing
    example the traveling salesman problem, the boolean satisfiability problem, protein structure prediction, and job-shop scheduling). For problems where finding...
    35 KB (4,641 words) - 11:29, 29 May 2025
  • Thumbnail for Combinatorial optimization
    optimization problems are the travelling salesman problem ("TSP"), the minimum spanning tree problem ("MST"), and the knapsack problem. In many such problems, such...
    18 KB (1,847 words) - 03:45, 24 March 2025
  • One-of-a-Set TSP, Multiple Choice TSP or Covering Salesman Problem, is a generalization of the traveling salesman problem (TSP), whereby it is required to find a...
    5 KB (658 words) - 06:02, 6 May 2024
  • Christofides algorithm (category Travelling salesman problem)
    algorithm is an algorithm for finding approximate solutions to the travelling salesman problem, on instances where the distances form a metric space (they are...
    12 KB (1,404 words) - 06:43, 25 April 2025
  • with non-repeating gene sequences is needed such as for the travelling salesman problem. It was described by Darrell Whitley and others in 1989. ERO...
    4 KB (687 words) - 20:05, 18 January 2022
  • Thumbnail for Spatial analysis
    Health" in 2018. In the theory of computational complexity, the travelling salesman problem (TSP) asks the following question: "Given a list of cities and...
    62 KB (9,955 words) - 07:06, 12 May 2025
  • Thumbnail for Vehicle routing problem
    to deliver to a given set of customers?" It generalises the travelling salesman problem (TSP). It first appeared in a paper by George Dantzig and John...
    20 KB (2,816 words) - 17:44, 28 May 2025
  • the start of the cycle. The Hamiltonian cycle problem is a special case of the travelling salesman problem, obtained by setting the distance between two...
    21 KB (2,518 words) - 19:02, 20 August 2024
  • breaks. For several decades, the best known approximation to the traveling salesman problem in a metric space was the very simple Christofides algorithm which...
    21 KB (2,636 words) - 20:12, 27 May 2025
  • returned (line 26). The traveling salesman problem (TSP) is sometimes used to show the functionality of tabu search. This problem poses a straightforward...
    15 KB (2,010 words) - 20:02, 18 May 2025
  • Nearest neighbour algorithm (category Travelling salesman problem)
    the first algorithms used to solve the travelling salesman problem approximately. In that problem, the salesman starts at a random city and repeatedly...
    4 KB (466 words) - 20:53, 9 December 2024
  • Lin–Kernighan heuristic (category Travelling salesman problem)
    Lin–Kernighan is one of the best heuristics for solving the symmetric travelling salesman problem.[citation needed] It belongs to the class of local search algorithms...
    18 KB (3,650 words) - 05:11, 14 May 2025
  • Thumbnail for Ant colony optimization algorithms
    stochastic problems, multi-targets and parallel implementations. It has also been used to produce near-optimal solutions to the travelling salesman problem. They...
    77 KB (9,484 words) - 10:31, 27 May 2025
  • number of NP-hard problems: Integer programming Nonlinear programming Travelling salesman problem (TSP) Quadratic assignment problem (QAP) Maximum satisfiability...
    20 KB (2,432 words) - 04:50, 9 April 2025
  • Held–Karp algorithm (category Travelling salesman problem)
    1962 independently by Bellman and by Held and Karp to solve the traveling salesman problem (TSP), in which the input is a distance matrix between a set of...
    12 KB (2,164 words) - 18:08, 29 December 2024
  • Multi-fragment algorithm (category Travelling salesman problem)
    a heuristic or approximation algorithm for the travelling salesman problem (TSP) (and related problems). This algorithm is also sometimes called the "greedy...
    1 KB (131 words) - 23:39, 14 September 2024
  • Thumbnail for 2-opt
    2-opt (category Travelling salesman problem)
    optimization, 2-opt is a simple local search algorithm for solving the traveling salesman problem. The 2-opt algorithm was first proposed by Croes in 1958, although...
    11 KB (1,851 words) - 08:17, 15 August 2024
  • Thumbnail for NP (complexity)
    NP (complexity) (redirect from NP-problem)
    decision version of the travelling salesman problem is in NP. Given an input matrix of distances between n cities, the problem is to determine if there...
    21 KB (2,784 words) - 09:34, 2 June 2025
  • Thumbnail for Polygonalization
    natural optimization criteria is a hard problem, including as a special case the travelling salesman problem. The complexity of counting all polygonalizations...
    26 KB (2,758 words) - 07:28, 30 April 2025