Is there an efficient algorithm for the traveling salesman problem?

The most efficient algorithm we know for this problem runs in exponential time, which is pretty brutal as we’ve seen. Unlike RSA encryption though, in the case of the Traveling Salesman Problem there is no modular arithmetic or turning factorization into period finding, as Shor’s algorithm does.

Which is the best suitable algorithm for Travelling salesman problem?

New hybrid cultural algorithm with local search (HCALS) is introduced to solve traveling salesman problem (TSP). The algorithm integrates the local search method into the cultural algorithm which uses social intelligence to guide and lead individuals in the population.

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 traveling salesman problem explain with example?

For example, consider the graph shown in the figure on the right side. A TSP tour in the graph is 1-2-4-3-1. The cost of the tour is 10+25+30+15 which is 80. The problem is a famous NP-hard problem.

What is Travelling Salesman Problem explain with example?

The traveling salesman problem (TSP) is an algorithmic problem tasked with finding the shortest route between a set of points and locations that must be visited. In the problem statement, the points are the cities a salesperson might visit.

How do you optimize a traveling salesman problem?

To solve the TSP using the Brute-Force approach, you must calculate the total number of routes and then draw and list all the possible routes. Calculate the distance of each route and then choose the shortest one—this is the optimal solution. This method breaks a problem to be solved into several sub-problems.

What is Travelling salesman problem in DAA?

Traveling-salesman Problem In the traveling salesman Problem, a salesman must visits n cities. 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.

What do you understand by Travelling Salesman Problem explain its algorithm with example?

The traveling salesman problem is a classic problem in combinatorial optimization. This problem is to find the shortest path that a salesman should take to traverse through a list of cities and return to the origin city. The list of cities and the distance between each pair are provided.

What happens when the backtracking algorithm reaches a complete solution?

What happens when the backtracking algorithm reaches a complete solution? Explanation: When we reach a final solution using a backtracking algorithm, we either stop or continue searching for other possible solutions. Explanation: If a node has a possibility of reaching the final solution, it is called a promising node.

What approximation algorithm is used to construct the solution for Travelling salesman problem?

Christofides’ Algorithm is a 3/2-approximation algorithm for metric TSP. It is very similar to the 2-approximation algorithm above. The improvement comes from finding a better way to construct the Eulerian graph.

What approximation algorithm is used to construct the solution for Travelling salesman problem Mcq?

Accepted Answers: Nearest Neighbour Heuristic is used to solve a Travelling Salesman Problem.

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.