In the theory of computational complexity, the travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances...

peddler. Travelling salesman may also refer to: Travelling salesman problem, in discrete or combinatorial optimization The Traveling Salesman, a 1908 play...

approximation is described by Jon Bentley for solving the travelling salesman problem (TSP): "Given a list of cities and the distances between each pair...

The Bottleneck traveling salesman problem (bottleneck TSP) is a problem in discrete or combinatorial optimization. The problem is to find the Hamiltonian...

Travelling Salesman is a 2012 intellectual thriller film about four mathematicians who solve the P versus NP problem, one of the most challenging mathematical...

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...

unlike the Travelling Salesman Problem which is NP-hard. It is different from the Travelling Salesman Problem in that the travelling salesman cannot repeat...

reasonable amount of time. For example, a greedy strategy for the travelling salesman problem (which is of high computational complexity) is the following...

optimization problems are the travelling salesman problem ("TSP"), the minimum spanning tree problem ("MST"), and the knapsack problem. In many such problems, such...

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...

to minimise the total route cost.: 5  The VRP generalises the travelling salesman problem (TSP), which is equivalent to requiring a single route to visit...

example the traveling salesman problem, the boolean satisfiability problem, protein structure prediction, and job-shop scheduling). For problems where finding...

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...

stochastic problems, multi-targets and parallel implementations. It has also been used to produce near-optimal solutions to the travelling salesman problem. They...

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...

the first algorithms used to solve the travelling salesman problem approximately. In that problem, the salesman starts at a random city and repeatedly...

Health" in 2018. In the theory of computational complexity, the travelling salesman problem (TSP) asks the following question: "Given a list of cities and...

algorithm is an algorithm for finding approximate solutions to the travelling salesman problem, on instances where the distances form a metric space (they are...

returned (line 28). The traveling salesman problem (TSP) is sometimes used to show the functionality of tabu search. This problem poses a straightforward...

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...

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...

Glossary of graph theory Hamiltonian path Icosian game Travelling salesman problem Three utilities problem Euler, Leonhard (1741). "Solutio problematis ad geometriam...

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...

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...

research problems. His 1953 paper on the Hitchcock transportation problem is often cited, but he also published work on the traveling salesman problem, and...

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...

The analyst's traveling salesman problem is an analog of the traveling salesman problem in combinatorial optimization. In its simplest and original form...

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...

number of NP-hard problems: Integer programming Nonlinear programming Travelling salesman problem (TSP) Quadratic assignment problem (QAP) Maximum satisfiability...

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...