# Is there a solution to the Travelling salesman problem?

Table of Contents

## Is there a solution to the Travelling 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 oneāthis is the optimal solution.

## What is the traveling salesman problem explain using suitable examples?

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 is the goal of the traveling salesman problem?

The traveling salesman problem is a traditional computer science challenge. Its goal is to find the shortest circuit through a set of points. A common approach is to construct an initial path and then improve it incrementally through local optimizations.

Which technique solve problems more faster in branch and bound?

Explanation: FIFO branch and bound leads to breadth first search. Whereas backtracking leads to depth first search.

### What are the rules to create reduced cost matrix of traveling salesman?

Select the least value element from that row. Subtract that element from each element of that row. This will create an entry ‘0’ in that row, thus reducing that row….

• Reduce the elements of row-1 by 4.
• Reduce the elements of row-2 by 5.
• Reduce the elements of row-3 by 6.
• Reduce the elements of row-4 by 2.

### How long does it take to solve traveling salesman problem?

TSP with 10 cities can be solved by a DP method in almost 0.2 seconds using intel core i7. This number increases to almost 13 seconds (~60 times greater) with 15 cities. That is, the time complexity significantly increases even with a small increment in the number of cities.

Is Travel salesman NP a problem?

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). I thought for A to be reduced to B, B has to be as hard if not harder than A.

Are there still traveling salesman?

They cover less territory, see more clients, spend more money, earn more money and stay away from home less. Now, there are more customers than before with more income and more buying impulses and, as a result, there are now more traveling salesmen, an estimated one million according to the Bureau of Labor Statistics.

## What is the BNB technique?

A branch-and-bound algorithm consists of a systematic enumeration of candidate solutions by means of state space search: the set of candidate solutions is thought of as forming a rooted tree with the full set at the root. The algorithm explores branches of this tree, which represent subsets of the solution set.

## What is LC Search explain?

LC-search uses c to find an answer node. The algorithm uses two functions Least() and Add() to delete and add a live node from or to the list of live nodes, respectively. Least() finds a live node with least c(). This node is deleted from the list of live nodes and returned.

What are the conditions for travelling salesman problem?

The travelling salesman problem (also called the travelling 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?”

What’s another name for a Travelling salesman?

In this page you can discover 13 synonyms, antonyms, idiomatic expressions, and related words for traveling-salesman, like: door-to-door salesman, bagman, company representative, commercial traveler, drummer, salesman, detail man, knight of the road, road warrior, traveling agent and travelling-salesman.