Open Access Open Access  Restricted Access Subscription or Fee Access

A novel Algorithm based on Deterministic Finite Automaton for solving the mono-objective Symmetric Traveling Salesman Problem

Elias D. Niño, Carlos J. Ardila, Daladier Jabba, Yezid Donoso

Abstract


This paper states an Algorithm Based on Finite Automata: the Exchange Deterministic Algorithm (EDA). EDA is an improvement of the EDNR algorithm(Ausiello, Feuerstein, Leonardi, Stougie and Talamo, 2001). that is applied to one of the classic problems in combinatorial optimization: The Symmetric Traveling Salesman Problem (TSP). First, the feasible solutions space of TSP was modeled by using a Deterministic Finite Automaton of Swapping (DFAS). DFAS is a data structure that allows the representation of the feasible solutions space of a combinatorial problem. Once that structure is defined, the algorithm is applied to different random scenarios of the TSP in order to contrast proximity with the global optimum obtained by exhaustive searching. Afterwards, the algorithm is applied to a particular problem, and the results are compared with others that were obtained by techniques such as Ant Colony, GRASP, Genetic Algorithms, Simulated Annealing, and Tabu Search(Bin and Raidl, 2008). EDA surpassed the others in terms of number of iterations the optimum is obtained.

Keywords


Combinatorial Optimization, TSP, Global Optimum, Feasible Solution.

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.