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Relevant literary space on travelling salesman problem (TSP): contents, classification, methods and fields of inspiration

This paper describes and analyzes, in terms of content, the types of TSP, methods and fields of inspiration - the most relevant "literary space" on TSP. It is built based on the top most cited on the TSP history and the Top 10 cited from 2006 to 2010. The study of TSP still prevails in Research, focusing on the original problem and its variants: Multiple TSP (m-TSP) and Probabilistic TSP (PTSP). Evidence shows that there has been progress in the development of TSP solving methods, highlighted by various inspiration fields: biological evolution, behavior of real ants, thermodynamics, systematic strategies for combining decision rules, and neighborhood search. There is a tendency to develop hybrid methods, in particular by integrating global approaches to local search. There is need to introduce new fields of inspiration.

Travelling salesman problem; Systematic review; Heuristic method; Combinatorial optimization


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