A quick Heuristic and a general search algorithm for traveling salesman problem

Abstract

This paper puts forward a constructive heuristic algorithm called the method of inserting the minimum neighbor edge from outside to the center (IMNEFOTC) that can be applied to solve large-scale and ultra-large-scale travelling salesman problems. Through it and the randomized greedy heuristic algorithm (RGH) which greedy heuristic algorithm is modified, a general meta-heuristic search algorithm framework is built. The general search algorithm (GSA) is based on a set of initial solutions, and continuous 2-opt operations are performed, so as to search for solutions in better quality. The data from the experiment reveals that the performance of IMNEFOTC is better than the traditional greedy algorithm, and the GSA can obtain a pretty satisfactory solution in a reasonable range of time.

Keywords

• traveling salesman problem
• greedy heuristic
• 2-opt operation
• simulate annealing