In the theory of computational complexity, the travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances...
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peddler. Travelling salesman may also refer to: Travelling salesman problem, in discrete or combinatorial optimization The Traveling Salesman, a 1908 play...
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approximation is described by Jon Bentley for solving the travelling salesman problem (TSP): "Given a list of cities and the distances between each pair...
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Travelling Salesman is a 2012 intellectual thriller film about four mathematicians who solve the P versus NP problem, one of the most challenging mathematical...
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The Bottleneck traveling salesman problem (bottleneck TSP) is a problem in discrete or combinatorial optimization. The problem is to find the Hamiltonian...
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unlike the Travelling Salesman Problem which is NP-hard. It is different from the Travelling Salesman Problem in that the travelling salesman cannot repeat...
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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...
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Combinatorial optimization (redirect from NP optimization problem)
optimization problems are the travelling salesman problem ("TSP"), the minimum spanning tree problem ("MST"), and the knapsack problem. In many such problems, such...
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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...
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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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example the traveling salesman problem, the boolean satisfiability problem, protein structure prediction, and job-shop scheduling). For problems where finding...
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stochastic problems, multi-targets and parallel implementations. It has also been used to produce near-optimal solutions to the travelling salesman problem. They...
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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...
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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...
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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...
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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...
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Spatial analysis (section Travelling salesman problem)
Health" in 2018. In the theory of computational complexity, the travelling salesman problem (TSP) asks the following question: "Given a list of cities and...
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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...
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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...
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returned (line 26). The traveling salesman problem (TSP) is sometimes used to show the functionality of tabu search. This problem poses a straightforward...
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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...
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number of NP-hard problems: Integer programming Nonlinear programming Travelling salesman problem (TSP) Quadratic assignment problem (QAP) Maximum satisfiability...
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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...
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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...
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Seven Bridges of Königsberg (redirect from Königsberg bridge problem)
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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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...
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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...
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Inza, I.; Dizdarevic, S. (1999). "Genetic Algorithms for the Travelling Salesman Problem: A Review of Representations and Operators". Artificial Intelligence...
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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...
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Galactic algorithm (section Traveling salesman problem)
breaks. For several decades, the best known approximation to the traveling salesman problem in a metric space was the very simple Christofides algorithm which...
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