• 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 (11,604 words) - 02:24, 25 June 2025
  • optimization, the set TSP, also known as the generalized TSP, group TSP, One-of-a-Set TSP, Multiple Choice TSP or Covering Salesman Problem, is a generalization...
    5 KB (658 words) - 06:02, 6 May 2024
  • 307 cards in the set. ^XV : In the Time Spiral Cycle there are special cards in each set that are "timeshifted". In Time Spiral TSP refers to all non-timeshifted...
    231 KB (11,901 words) - 15:06, 13 July 2025
  • Look up TSP or tsp in Wiktionary, the free dictionary. TSP or tsp may refer to: Tropical spastic paraparesis, weakness due to T-lymphotropic virus infection...
    2 KB (257 words) - 23:20, 18 September 2024
  • Thumbnail for Vehicle routing problem
    generalises the travelling salesman problem (TSP), which is equivalent to requiring a single route to visit all locations. As the TSP is NP-hard, the VRP is also...
    22 KB (2,984 words) - 08:17, 11 July 2025
  • Thumbnail for Combinatorial optimization
    travelling salesman problem ("TSP"), the minimum spanning tree problem ("MST"), and the knapsack problem. In many such problems, such as the ones previously...
    18 KB (1,848 words) - 17:23, 29 June 2025
  • Thumbnail for Fagnano's problem
    absolute geometry and even weaker settings. Set TSP problem, a more general task of visiting each of a family of sets by the shortest tour Dörrie, Heinrich...
    5 KB (497 words) - 19:16, 7 June 2025
  • Thumbnail for Shortest path problem
    specific set of vertices to be included in the path, which makes the problem similar to the Traveling Salesman Problem (TSP). The TSP is the problem of finding...
    46 KB (4,790 words) - 00:08, 24 June 2025
  • Held–Karp algorithm (category Travelling salesman problem)
    and Karp to solve the traveling salesman problem (TSP), in which the input is a distance matrix between a set of cities, and the goal is to find a minimum-length...
    12 KB (2,164 words) - 18:08, 29 December 2024
  • (2007), Lin, Guohui (ed.), "An Improved Exact Algorithm for Cubic Graph TSP", Computing and Combinatorics, Lecture Notes in Computer Science, vol. 4598...
    21 KB (2,518 words) - 13:03, 30 June 2025
  • to the respective distances of the TSP instance. Many other problems of standard combinatorial optimization problems may be written in this form. In addition...
    6 KB (773 words) - 00:22, 16 April 2025
  • Arc routing problems (ARP) are a category of general routing problems (GRP), which also includes node routing problems (NRP). The objective in ARPs and...
    39 KB (4,803 words) - 16:57, 27 June 2025
  • job-shop problem with sequence-dependent setup is also NP-hard since the TSP is a special case of the JSP with a single job (the salesman in TSP) and the...
    19 KB (2,578 words) - 03:45, 24 March 2025
  • An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating...
    70 KB (9,362 words) - 17:11, 5 July 2025
  • Christofides algorithm (category Travelling salesman problem)
    Euclidean TSP. Methods based on the Christofides–Serdyukov algorithm can also be used to approximate the stacker crane problem, a generalization of the TSP in...
    12 KB (1,404 words) - 12:14, 6 June 2025
  • Thumbnail for Greedy algorithm
    should not be greedy: Domination analysis of greedy-type heuristics for the TSP". Discrete Applied Mathematics. 117 (1–3): 81–86. doi:10.1016/S0166-218X(01)00195-0...
    17 KB (1,918 words) - 19:59, 19 June 2025
  • approximation is described by Jon Bentley for solving the travelling salesman problem (TSP): "Given a list of cities and the distances between each pair of cities...
    10 KB (1,365 words) - 18:06, 10 July 2025
  • Nearest neighbour algorithm (category Travelling salesman problem)
    Exponential Neighborhoods and Domination Analysis for the TSP, in The Traveling Salesman Problem and Its Variations, G. Gutin and A.P. Punnen (eds.), Kluwer...
    4 KB (466 words) - 20:53, 9 December 2024
  • Thumbnail for Ring star problem
    the traveling salesman problem. When the costs of the arcs are infinite and the ring contains all nodes, the RSP reduces to TSP. Some applications of RSP...
    8 KB (750 words) - 09:19, 9 June 2025
  • benchmark datasets for the vertex k-center problem are the pmed instances from OR-Lib., and some instances from TSP-Lib. Table 1 shows the mean and standard...
    27 KB (3,613 words) - 22:56, 27 April 2025
  • publicized the name Traveling salesman problem (TSP) within the mathematical community at mass. He publicized the TSP in 1948 by presenting it at the RAND...
    7 KB (651 words) - 18:01, 29 December 2024
  • number of NP-hard problems: Integer programming Nonlinear programming Travelling salesman problem (TSP) Quadratic assignment problem (QAP) Maximum satisfiability...
    20 KB (2,416 words) - 20:33, 2 July 2025
  • (line 28). The traveling salesman problem (TSP) is sometimes used to show the functionality of tabu search. This problem poses a straightforward question:...
    15 KB (2,010 words) - 17:24, 18 June 2025
  • Thumbnail for Cubic graph
    S2CID 4401537. Xiao, Mingyu; Nagamochi, Hiroshi (2013), "An Exact Algorithm for TSP in Degree-3 Graphs via Circuit Procedure and Amortization on Connectivity...
    15 KB (1,777 words) - 22:39, 19 June 2025
  • 1996). "Polynomial time approximation schemes for Euclidean TSP and other geometric problems". Proceedings of 37th Conference on Foundations of Computer...
    23 KB (3,126 words) - 12:31, 25 April 2025
  • Thumbnail for Bitonic tour
    Woeginger, Gerhard (2016), "Fine-Grained Complexity Analysis of Two Classic TSP Variants", in Chatzigiannakis, Ioannis; Mitzenmacher, Michael; Rabani, Yuval;...
    6 KB (682 words) - 18:39, 7 May 2025
  • {\displaystyle {\mathcal {NP}}} -hard problems (such as mixed integer programming, CSP, AI planning, TSP, MAXSAT, QBF and answer set programming). Competition-winning...
    15 KB (1,836 words) - 23:23, 3 April 2024
  • Thumbnail for Ant colony optimization algorithms
    pheromone deposited by k {\displaystyle k} th ant, typically given for a TSP problem (with moves corresponding to arcs of the graph) by Δ τ x y k = { Q /...
    77 KB (9,484 words) - 10:31, 27 May 2025
  • Thumbnail for Crossover (evolutionary algorithm)
    representative of the first task type is the traveling salesman problem (TSP), where the goal is to visit a set of cities exactly once on the shortest tour. An example...
    26 KB (2,321 words) - 15:29, 21 May 2025
  • Thumbnail for Spatial analysis
    problem, the vehicle routing problem and the ring star problem are three generalizations of TSP. The decision version of the TSP (where given a length L,...
    62 KB (9,958 words) - 05:19, 30 June 2025