Genetic Algorithm with Neighbor Solution Approach for Traveling Salesman Problem

Summary


The Traveling Salesman Problem (TSP) is an NP-Complete problem. Many techniques were developed to solve such problem, including Genetic Algorithms (GA's). The goal of this research is to enhance the performance of the Genetic Algorithm (GA) in solving the TSP. We achieve this goal by developing a local search algorithm called Search for Nearest Solution Algorithm (SNSA). This algorithm produces better solutions in acceptable periods of time. A new Crossover operator is proposed and used in the SNSA. Results for benchmark cases of the TSP show that the algorithm can find known optimum solutions. Comparisons between the proposed algorithm and other GA based methods with known crossover techniques show that SNSA has good quality solutions.

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Genetic Algorithm with Neighbor Solution Approach for Traveling Salesman Problem

1. Introduction

The issue of optimization is on top of the problems that are worthy to be studied. The difficulty of this issue is characterized by the difficulty of reaching solutions that satisfy all objectives. Examples of such problems are the timetabling problem, the TSP, the graph coloring problem, and the transportation problem. Due to the differences in nature and difficulty of each problem, each algorithm cannot work with the same efficiency ...

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