Contents
What is Travelling Salesman problem explain?
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.
Is sorting NP or P?
Sorting Numbers Given a list of numbers, you can verify that whether the list is sorted or not in polynomial time, so the problem is clearly NP. There are known algorithms to sort a list of numbers in polynomial time. (Bubble sort O(n^2) etc. ). Thus the problem is P.
Is Floyd warshall NP-hard?
It is not NP-complete, because it is not a decision problem. In weighted complete graphs with non-negative edge weights, the weighted longest path problem is the same as the Travelling salesman path problem, because the longest path always includes all vertices.
Is the traveling salesman problem a simple problem?
To the layman, this problem might seem a relatively simple matter of connecting dots, but that couldn’t be further from the truth. The TSP is actually one of the most significant problems in the history of applied mathematics.
Are there polynomial time algorithms for the traveling salesman problem?
It’s an NP-hard combinatorial problem, and therefore there is no known polynomial-time algorithm that is able to solve all instances of the problem. Some instances of the TSP can be merely understood, as it might take forever to solve the model optimally.
Which is one way to create an effective heuristic?
One way to create an effective heuristic is to remove one or more of the underlying problem’s constraints, and then modify the solution to make it conform to the constraint after the fact, or otherwise use it to inform your heuristic. There are two good reasons why you might do so in the case of the TSP.
Are there any heuristics for the vehicle routing problem?
To help motivate these heuristics, I want to briefly discuss a related problem in operations research, the vehicle routing problem (VRP).