Traveling Salesman Problem (Hardcover) (ISBN-13: 9789537619107)

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.

Author: Federico Greco
ISBN-10: 9537619109
ISBN-13: 9789537619107
Publisher: Intechopen
Language: English
Published: 09/01/2008
Pages: 214
Format: Hardcover
Weight: 1.19lbs
Size: 9.61h x 6.69w x 0.50d