TY - CHAP AU - Elizabeth F. G. Goldbarg AU - Marco C. Goldbarg AU - Givanaldo R. de Souza ED - Federico Greco Y1 - 2008-09-01 PY - 2008 T1 - Particle Swarm Optimization Algorithm for the Traveling Salesman Problem N2 - The idea behind TSP was conceived by Austrian mathematician Karl Menger in mid 1930s who invited the research community to consider a problem from the everyday life from a mathematical point of view. A traveling salesman has to visit exactly once each one of a list of m cities and then return to the home city. He knows the cost of traveling from any city i to any other city j. Thus, which is the tour of least possible cost the salesman can take? In this book the problem of finding algorithmic technique leading to good/optimal solutions for TSP (or for some other strictly related problems) is considered. TSP is a very attractive problem for the research community because it arises as a natural subproblem in many applications concerning the every day life. Indeed, each application, in which an optimal ordering of a number of items has to be chosen in a way that the total cost of a solution is determined by adding up the costs arising from two successively items, can be modelled as a TSP instance. Thus, studying TSP can never be considered as an abstract research with no real importance. BT - Traveling Salesman Problem SP - Ch. 4 UR - https://doi.org/10.5772/5580 DO - 10.5772/5580 SN - PB - IntechOpen CY - Rijeka Y2 - 2024-04-19 ER -