In this paper Travelling Salesman Problem (TSP) is solved using Genetic Algorithm (GA) combined with data perturbation (DP) and the algorithm named as Perturbed GA. DP is a technique used to avoid local optima and to increase the diversity property of the problem. Efficiency of the algorithm ...
The Traveling Salesman Problem is a combinatorial optimization problem, and as such, given an appropriate formulation, can be solved using the Gurobi library. Decision variables: x i j = 1 if edge ( i , j ) ∈ A belongs to the minimum Hamiltonian cycle x i j = 1 otherwise Objective Fun...
The Travelling Salesman Problem with Pickups and Deliveries (TSPPD) consists in designing a minimum cost tour that starts at the depot, provides either a pickup or delivery service to each of the customers and returns to the depot, in such a way that the vehicle capacity is not exceeded in...
travelling salesman problemtime-varying travel costsheuristicsvehicle routingA heuristic algorithm for the travelling salesman problem with time-varying travel costs is developed in this paper. The algorithm is based on the insertion technique. Illustrative examples are solved using the algorithm. The ...
This is consistent with the typical characteristics of ACO-based algorithms: they are problem-dependent and influenced by settings of control parameters; some problems are more suitable to be solved by some variant of the ACO algorithm and particular setting of control parameters than others. To ...
A metaheuristic can optimize a complex problem by searching through many candidate solutions with few or no assumptions about the problem being solved and without any guarantee of finding the optimal solution. Some metaheuristics use either a single solution-based approach (e.g. tabu search (TS) ...
The ant colony optimization (ACO) is one efficient approach for solving the travelling salesman problem (TSP). Here, we propose a hybrid algorithm based on
The travelling salesman problem is an NP-hard problem, that meaning an exact solution cannot be solved in polynomial time. However, there are polynomial solutions that can be used which give an approximation of the shortest route between all vertices. In this ...
The travelling salesman problem is an NP-hard problem, that meaning an exact solution cannot be solved in polynomial time. However, there are polynomial solutions that can be used which give an approximation of the shortest route between all vertices. In this ...
Travelling Salesman: Directed by Timothy Lanzone. With Danny Barclay, Eric Bloom, David John Cole, Malek Houlihan. Four mathematicians are hired by the US government to solve the most powerful problem in computer science history.