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# What is the multiple travelling salesman Problem?

## What is the multiple travelling salesman Problem?

The Multiple Traveling Salesman Problem (MTSP) is a generalization of the well-known Traveling Salesman Problem (TSP), where multiple salesmen are involved to visit a given number of cities exactly once and return to the initial position with the minimum traveling cost.

How does a Travelling salesman work?

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. The equivalent term for a woman is traveling saleswoman. The plural of salesman is salesmen.

### How do I find a traveling salesman?

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. This method breaks a problem to be solved into several sub-problems.

What is a Travelling salesman called?

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

## What are the applications of Travelling salesman problem?

The traveling salesman problem (TSP) is a problem in combinatorial optimization and has several applications, such as vehicle routing problems, logistics, planning and scheduling.

What is Travelling Salesman Problem explain with example?

The traveling salesman problem consists of a salesman and a set of cities. The salesman has to visit each one of the cities starting from a certain one (e.g. the hometown) and returning to the same city. The challenge of the problem is that the traveling salesman wants to minimize the total length of the trip.

### What are the applications of Travelling Salesman Problem?

How do you implement a Travelling Salesman Problem?

In this post, the implementation of a simple solution is discussed.

1. Consider city 1 as the starting and ending point.
2. Generate all (n-1)!
3. Calculate the cost of every permutation and keep track of the minimum cost permutation.
4. Return the permutation with minimum cost.

## How do you implement a Travelling salesman problem?

Do Travelling salesman still exist?

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 traveling salesman problem equivalent to in graph theory?

An equivalent formulation in terms of graph theory is: Given a complete weighted graph (where the vertices would represent the cities, the edges would represent the roads, and the weights would be the cost or distance of that road), find a Hamiltonian cycle with the least weight.

What are the practical applications of Travelling salesman model?

Drilling of printed circuit boards A direct application of the TSP is in the drilling problem of printed circuit boards (PCBs). To connect a conductor on one layer with a conductor on anotherlayer, or to position the pins of integrated circuits, holes have to be drilled through theboard.