A Decomposition Algorithm for Uniform Traveling Salesman Problem
نویسندگان
چکیده
This paper presents a decomposition algorithm for solving the uniform Travelling Salesman Problem (TSP). The algorithm assumes that the initial set of points is divided into subsets and overlapping regions between these subsets. The algorithm starts by considering a subset and find the solution in that subset. The solution in the next subset is calculated by expanding the earlier solution for the current subset and this process continues until all the subsets are considered. In this algorithm, a given problem with n points is replaced by m problems, each having k (k << n) points. The algorithm is tested with 10000-points and the results prove that it considerably reduces the computational time. In addition, its quality is close to that of the best known heuristic algorithm.
منابع مشابه
Random gravitational emulation search algorithm (RGES (in scheduling traveling salesman problem
this article proposes a new algorithm for finding a good approximate set of non-dominated solutions for solving generalized traveling salesman problem. Random gravitational emulation search algorithm (RGES (is presented for solving traveling salesman problem. The algorithm based on random search concepts, and uses two parameters, speed and force of gravity in physics. The proposed algorithm is ...
متن کاملSolving the Traveling Salesman Problem by an Efficient Hybrid Metaheuristic Algorithm
The traveling salesman problem (TSP) is the problem of finding the shortest tour through all the nodes that a salesman has to visit. The TSP is probably the most famous and extensively studied problem in the field of combinatorial optimization. Because this problem is an NP-hard problem, practical large-scale instances cannot be solved by exact algorithms within acceptable computational times. ...
متن کاملA Hybrid Modified Meta-heuristic Algorithm for Solving the Traveling Salesman Problem
The traveling salesman problem (TSP) is one of the most important combinational optimization problems that have nowadays received much attention because of its practical applications in industrial and service problems. In this paper, a hybrid two-phase meta-heuristic algorithm called MACSGA used for solving the TSP is presented. At the first stage, the TSP is solved by the modified ant colony s...
متن کاملSolving the Traveling Salesman Problem by an Efficient Hybrid Metaheuristic Algorithm
The traveling salesman problem (TSP) is the problem of finding the shortest tour through all the nodes that a salesman has to visit. The TSP is probably the most famous and extensively studied problem in the field of combinatorial optimization. Because this problem is an NP-hard problem, practical large-scale instances cannot be solved by exact algorithms within acceptable computational times. ...
متن کاملAn 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...
متن کاملA reactive bone route algorithm for solving the traveling salesman problem
The traveling salesman problem (TSP) is a well-known optimization problem in graph theory, as well as in operations research that has nowadays received much attention because of its practical applications in industrial and service problems. In this problem, a salesman starts to move from an arbitrary place called depot and after visits all of the nodes, finally comes back to the depot. The obje...
متن کامل