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## Why is the traveling salesman problem hard?

In fact, TSP belongs to the class of combinatorial optimization problems known as NP-complete. This means that TSP is classified as NP-hard because **it has no “quick” solution and the complexity of calculating the best route will increase when you add more destinations to the problem**.

## What kind of problem is the traveling salesman problem?

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.

## Did people solve traveling salesman problem?

**Scientists in Japan have solved a more complex traveling salesman problem than ever before**. The previous standard for instant solving was 16 “cities,” and these scientists have used a new kind of processor to solve 22 cities. They say it would have taken a traditional von Neumann CPU 1,200 years to do the same task.

## How many types of Travelling salesman problem are there?

two types

The TSP can be divided into **two types**: the asymmetric travelling salesman problem (ASTP) where the distance from A to B is different to that from B to A and the symmetric travelling salesman problem (STSP) where the distance from A to B is the same as from B to A.

## How can we solve travel salesman problem using branch and bound?

In order to solve the problem using branch n bound, we **use a level order**. First, we will observe in which order, the nodes are generated. While creating the node, we will calculate the cost of the node simultaneously. If we find the cost of any node greater than the upper bound, we will remove that node.

## Is Travelling sales man problem is NP-complete or NP-hard justify your answer?

The simple answer is that **it’s NP-hard, but it’s not in NP**. Since it’s not in NP, it can’t be NP-complete. In TSP you’re looking for the shortest loop that goes through every city in a given set of cities.

## What is Travelling sales person problem and what are its applications?

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 in operational research?

The ‘Travelling salesman problem’ is very similar to the assignment problem except that in the former, **there are additional restrictions that a salesman starts from his city, visits each city once and returns to his home city, so that the total distance (cost or time) is minimum**.

## 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.