Title :
A dynamic optimization algorithm of Traveling Salesman Problem based on construction of greed circuit
Author :
Hongbo, Li ; Wenjun, Ma ; Jun, Chen
Author_Institution :
Coll. of Manage., LuDong Univ., Yantai
Abstract :
This new algorithm was composed of four phases in turn, that is, construction of the initial circuit path based on the shortest edge first, iterative decreases of individual point, iterative decreases of individual edge and iterative decreases of multiple edges. For convenience and simplicity of computation, the most appropriate data structure was introduced. Being tested by three instances in TSPLIB shows that some current known best solutions are able to be largely decreased by the new algorithm, at the same time, their corresponding circuit path are also given. The time complexity of the new algorithm is O(max(n(logntimessume/Deltae+sumk/Deltak+ntimessumi,j/Deltai, j),n3)).
Keywords :
travelling salesman problems; data structure; dynamic optimization algorithm; greed circuits; time complexity; traveling salesman problem; Circuit testing; Cities and towns; Educational institutions; Heuristic algorithms; Iterative algorithms; Law; Legal factors; Polynomials; Symmetric matrices; Traveling salesman problems; Iterative decrease of individual edge; Iterative decrease of individual point; Iterative decrease of multiple edges; TSP greed circuit;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605857