Exact methods for the traveling salesman problem with multiple drones

An Approach for Solving Traveling Salesman Problem

In this paper, we introduce a new approach for solving the traveling salesman problems (TSP) and provide a solution algorithm for a variant of this problem. The concept of the proposed method is based on the Hungarian algorithm, which has been used to solve an assignment problem for reaching an optimal solution. We introduced a new fittest criterion for crossing over such problems, and illu...

An Effective Genetic Algorithm for Solving the Multiple Traveling Salesman Problem

The multiple traveling salesman problem (MTSP) involves scheduling m > 1 salesmen to visit a set of n > m nodes so that each node is visited exactly once. The objective is to minimize the total distance traveled by all the salesmen. The MTSP is an example of combinatorial optimization problems, and has a multiplicity of applications, mostly in the areas of routing and scheduling. In this paper,...

An extended multiple Traveling Salesman Problem

This paper deals with the routing problem of health care sta in a home health care problem. Given a list of patients needing several cares, the problem is to assign cares to care workers. Some cares have to be performed by several persons and some cares cannot be performed with others. If a patient needs several cares, he may want to be treated by the same person. Moreover, some skills constrai...

The traveling salesman problem

The Uncapacitated Asymmetric Traveling Salesman Problem with Multiple Stacks

In the uncapacitated asymmetric traveling salesman with multiple stacks, we perform a hamiltonian circuit to pick up n items, storing them in a vehicle with k stacks satisfying last-in-first-out constraints, and then we deliver every item by performing a hamiltonian circuit. We are interested in the convex hull of the (arc-)incidence vectors of such couples of hamiltonian circuits. For the gene...