# Is Travelling Salesman Problem solved?

In general, the traveling salesman problem is hard to solve. If there is a way to break this problem into smaller component problems, the components will be at least as complex as the original one. This is what computer scientists call NP-hard problems.

It’s actually a really difficult problem to solve — almost impossibly hard. Computer scientists call it a NP-hard problem. The Traveling Salesman Problem gets exponentially more difficult to solve the more dots, or cities, the salesman has to visit.

One may also ask, what is Travelling salesman problem in DAA? 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. Such problems are called Travelingsalesman problem (TSP).

Also to know is, what is travel salesman problem in data structure?

Travelling Salesman Problem (TSP): Given a set of cities and distance between every pair of cities, the problem is to find the shortest possible route that visits every city exactly once and returns back to the starting point.

What is the time complexity of Travelling salesman problem?

The dynamic programming approach breaks the problem into 2nn subproblems. Each subproblem takes n time resulting in a time complexity of O(2nn2).

### Is Travelling salesman problem NP hard?

The traveling salesman problem is NP-complete because it has 2 properties. First, it is in NP, roughly meaning that there is a polynomial-time algorithm to verify solutions to the problem.

### What does a traveling salesman do?

A travelling salesman is a travelling door-to-door seller of goods, also known as a peddler. Travelling salesman may also refer to: Travelling salesman problem, in discrete or combinatorial optimization.

### Is traveling salesman An NP?

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. Since it takes exponential time to solve NP, the solution cannot be checked in polynomial time.

### Can NP hard problems be solved?

3 Answers. No. A problem is Np-Hard if all NP problems are reducible to an instance of that problem in polynomial time. Some NP-Hard problems cannot be solved in nondeterministic polynomial time, and are not in NP.

### How do I become a traveling salesman?

How to be a traveling salesman: Six closing lessons from Stu Larkin Be confident. “First and foremost, be confident in yourself,” Stu says. Learn the craft. As Stu puts it, “Selling is a profession. Pre-qualify before scheduling. Listen to your prospect. Ask for the order…and ask again. Get to a win-win.

### What is a traveling salesperson called?

noun. a salesman who travels within an assigned territory in order to sell merchandise or to solicit orders for the commercial enterprise he represents by direct personal contact with customers and potential customersAlso called: commercial traveller, traveller.

### Why is the Travelling salesman problem important?

This question is known as the traveling salesman problem (TSP), and it is an important problem for computational mathematicians. Because the problem is one of general optimization, its solution has applications for diverse fields including transportation, electronics and genetics.

### What is knapsack problem in dynamic programming?

The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible.

### What is TSP in AI?

Travelling Salesman Problem (TSP) is a touring problem in which n cities and distance between each pair is given. We have to find a shortest route to visit each city exactly once and come back to the starting point. Use either Simulated Annealing or Genetic Algorithm to find the answer.

### What is backtracking in algorithm design and analysis?

Backtracking is a general algorithm for finding all (or some) solutions to some computational problems, notably constraint satisfaction problems, that incrementally builds candidates to the solutions, and abandons a candidate (“backtracks”) as soon as it determines that the candidate cannot possibly be completed to a

### What is TSP in computer science?

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. Focused on optimization, TSP is often used in computer science to find the most efficient route for data to travel between various nodes.

### What is dynamic programming algorithm?

Dynamic Programming is the most powerful design technique for solving optimization problems. Dynamic Programming is a paradigm of algorithm design in which an optimization problem is solved by a combination of achieving sub-problem solutions and appearing to the “principle of optimality”.

### What do you mean by algorithm?

An algorithm is a step by step method of solving a problem. It is commonly used for data processing, calculation and other related computer and mathematical operations. An algorithm is also used to manipulate data in various ways, such as inserting a new data item, searching for a particular item or sorting an item.