What is Traveling Salesman Problem (TSP)?

In TSP, a “salesman” starts at a home city, visits a list of given cities exactly once, and returns to the home city, minimizing the total travel distance or cost. This problem can be applied to various practical scenarios, including logistics, planning, and manufacturing.

Traveling Salesman Problem (TSP) in Python

The Traveling Salesman Problem (TSP) is a classic algorithmic problem in the fields of computer science and operations research. It involves finding the shortest possible route that visits a set of cities and returns to the origin city. The challenge of TSP lies in its NP-hard nature, meaning that as the number of cities increases, the problem becomes exponentially more complex to solve optimally.

Similar Reads

What is Traveling Salesman Problem (TSP)?

In TSP, a “salesman” starts at a home city, visits a list of given cities exactly once, and returns to the home city, minimizing the total travel distance or cost. This problem can be applied to various practical scenarios, including logistics, planning, and manufacturing....

Approaches to Solve Traveling Salesman Problem (TSP):

There are several approaches to solving TSP, ranging from exact algorithms that guarantee an optimal solution to heuristic and metaheuristic methods that provide approximate solutions. Some common methods include:...

Implementing of Traveling Salesman Problem (TSP) in Python

Let’s implement a simple solution using dynamic programming (Held-Karp algorithm) in Python. This method involves breaking the problem into smaller subproblems and solving each subproblem only once, storing the results to avoid redundant calculations....