• 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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
  • 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...
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  • 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 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
  • 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
  • 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
  • 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
  • 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
  • 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 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
  • film Travelling Salesman, by director Timothy Lanzone, is the story of four mathematicians hired by the US government to solve the P versus NP problem. In...
    63 KB (7,784 words) - 06:53, 25 April 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
  • 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
  • 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
  • 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
  • instance of the stacker crane problem, having a pair ( p , p ) {\displaystyle (p,p)} for each point in the travelling salesman instance. In the other direction...
    5 KB (625 words) - 03:44, 19 December 2024
  • Thumbnail for Seven Bridges of Königsberg
    Glossary of graph theory Hamiltonian path Icosian game Travelling salesman problem Three utilities problem Euler, Leonhard (1741). "Solutio problematis ad geometriam...
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  • 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) - 18:11, 6 May 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 Crossover (evolutionary algorithm)
    Inza, I.; Dizdarevic, S. (1999). "Genetic Algorithms for the Travelling Salesman Problem: A Review of Representations and Operators". Artificial Intelligence...
    26 KB (2,321 words) - 15:29, 21 May 2025
  • Thumbnail for Clique problem
    only if a k-vertex clique exists. Some NP-complete problems (such as the travelling salesman problem in planar graphs) may be solved in time that is exponential...
    84 KB (9,905 words) - 20:49, 29 May 2025
  • 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