# Has Anyone Solved The Traveling Salesman Problem?

## Which of the following statement is true for Travelling salesman problem?

Option 2: As said earlier The Travelling Salesman Problem is one of the known NP-hard problems, which means that there is no specific particular algorithm to solve it in given time complexity.

The minimum expected time to obtain optimal solution is exponential of the polynomial function..

## What is best first search in artificial intelligence?

Best-first search is a search algorithm which explores a graph by expanding the most promising node chosen according to a specified rule. … The A* search algorithm is an example of a best-first search algorithm, as is B*. Best-first algorithms are often used for path finding in combinatorial search.

## Is vertex cover NP-complete?

Its decision version, the vertex cover problem, was one of Karp’s 21 NP-complete problems and is therefore a classical NP-complete problem in computational complexity theory.

## Is Hamiltonian path NP-complete?

The problem is to determine if there is a simple path that crosses each vertex of the graph. A Hamiltonian path is a simple open path that contains each vertex in a graph exactly once. … Hamiltonian Cycle is NP-complete, so we may try to reduce this problem to Hamiltonian Path.

## What is Travelling salesman problem and how is it modeled as a graph problem?

The traveling nalesman problem (TSP) is to find a tour of minimal cost. The TSP can be modeled as a graph problem by considering a complete graph G = /V, E), and assigning each edge uu E E the cost o., A tour is then a circuit in G that meets every node. In this context, tours are sometimes called Eamiltonian c~rcuits.

## Why is TSP NP-hard?

Why is TSP not NP-complete? … Since it takes exponential time to solve NP, the solution cannot be checked in polynomial time. Thus this problem is NP-hard, but not in NP. In general, for a problem to be NP-complete it has to be a “decision problem”, meaning that the problem is to decide if something is true or not.

## What is the time complexity of Travelling salesman problem?

Traveling salesman problem is a NP-hard problem. Until now, researchers have not found a polynomial time algorithm for traveling salesman problem. Among the existing algorithms, dynamic programming algorithm can solve the problem in time O(n^2*2^n) where n is the number of nodes in the graph.

## How are the shortest path and traveling salesman problem given above similar?

They are similar, because each of then has to walk a graph and find a path in them. The difference is the constraint on the solution. The shortest-path requires just a path between two points, while the traveling salesman requires a path between more points that returns to the first point.

## What does a traveling salesman do?

A traveling salesman is a man whose job is to sell products or services by traveling to different places, often within a certain region or assigned territory. A traveling salesman can be called a traveling salesperson.

## What is a traveling salesperson called?

A travelling salesman is a travelling door-to-door seller of goods, also known as a peddler. …

## How many times each city should be visited in the Travelling salesman problem?

We can say that salesman wishes to make a tour or Hamiltonian cycle, visiting each city exactly once and finishing at the city he starts from. There is a non-negative cost c (i, j) to travel from the city i to city j. The goal is to find a tour of minimum cost. We assume that every two cities are connected.

## Which algorithm is used for Travelling salesman problem?

The water flow-like algorithm (WFA) is a relatively new metaheuristic that performs well on the object grouping problem encountered in combinatorial optimization. This paper presents a WFA for solving the travelling salesman problem (TSP) as a graph-based problem.

## How do you solve a traveling salesman problem?

Traveling Salesman Problem bookmark_borderTable of contents.Example: Solving a TSP with OR-Tools. Create the data. Create the routing model. Create the distance callback. … Example: drilling a circuit board. Create the data. Compute the distance matrix. Add the distance callback. … Changing the search strategy.Sep 23, 2020

## What are the characteristics of AI problem?

How can these 7 AI problem characteristics help me decide on an approach to a problem?Decomposable to smaller or easier problems.Solution steps can be ignored or undone.Predictable problem universe.Good solutions are obvious.Uses internally consistent knowledge base.More items…•Jan 16, 2017

## Is Travelling salesman problem NP-hard?

Traveling Salesman Optimization(TSP-OPT) is a NP-hard problem and Traveling Salesman Search(TSP) is NP-complete. However, TSP-OPT can be reduced to TSP since if TSP can be solved in polynomial time, then so can TSP-OPT(1).

## Is NP-hard harder than NP-complete?

An NP-hard problem can be beyond NP. The polynomial-time reduction from your X to any problem in NP does not necessarily have a polynomial-time inverse. If the inverse is harder, then the verification is harder. An NP-complete problem, on the other hand, is one that is NP-hard and itself in NP.

## What is Travelling salesman problem?

The Travelling Salesman Problem (TSP) is the challenge of finding the shortest yet most efficient route for a person to take given a list of specific destinations. It is a well-known algorithmic problem in the fields of computer science and operations research.

## What is Travelling salesman problem in AI?

The travelling salesman problem (also called the traveling salesperson problem or TSP) asks the following question: “Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city?” It is an NP-hard problem in …

## Why is the Travelling salesman problem important?

The importance of the TSP is that it is representative of a larger class of problems known as combinatorial optimization problems. The TSP problem belongs in the class of such problems known as NP-complete.

## What is the problem space of means end analysis?

Explanation: The problem space of means-end analysis has an initial state and one or more goal states.

## What is NP problem example?

Examples. An example of an NP-hard problem is the decision subset sum problem: given a set of integers, does any non-empty subset of them add up to zero? That is a decision problem and happens to be NP-complete.

## Why is the traveling salesman an unsolvable problem?

It is called an NP-Hard problem because it is impossible to find the least cost of connecting all points in the graph. … Many researchers try to solve this but it seems to be computationally impossible to calculate the probabilities when the number of points increases in the graph.