The Traveling Salesman Problem

The Traveling Salesman Problem (TSP) is a classic problem in the field of optimization and operations research. It is a combinatorial optimization problem that can be described as follows:

Given a list of cities and the distances between each pair of cities, the task is to find the shortest possible route that visits each city exactly once and returns to the original city. The goal is to minimize the total distance traveled by the salesperson.

Mathematically, if there are n cities, the problem involves finding the permutation of the cities that minimizes the total distance traveled. The number of possible permutations grows factorially with the number of cities, making the problem computationally challenging as the number of cities increases.

The Traveling Salesman Problem has many practical applications, including route planning for delivery trucks, circuit design, manufacturing, and logistics. It is an NP-hard problem, meaning that there is no known algorithm that can solve all instances of the problem in polynomial time, and finding an optimal solution may require exploring a large number of possibilities. Various heuristic and approximation algorithms are often employed to find near-optimal solutions efficiently.

The Customer Routing Problem is a variation of the Traveling Salesman Problem (TSP) that focuses on optimizing routes for delivering goods or services to multiple customers.

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When the travelling salesman model breaks:

The Traveling Salesman Problem (TSP) is a classic optimization problem in computer science and mathematics. It involves a salesman who needs to visit a set of cities, each exactly once, and then return to the starting city. The goal is to find the shortest possible route that accomplishes this.

We are there when your solution for the 'Traveling Salesman' breaks.

The Customer Routing Problem is a variation of the Traveling Salesman Problem (TSP) that focuses on optimizing routes for delivering goods or services to multiple customers.

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