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2024 | OriginalPaper | Chapter

Average TSP Tour Length Approximations for Territory Design

Authors : Daisuke Hasegawa, Naoshi Shiono

Published in: Proceedings of Industrial Engineering and Management

Publisher: Springer Nature Singapore

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Abstract

In vehicle routing, estimating route lengths using continuous approximation models can be valuable for delivery planning, especially for tour cost estimation and territory design because it avoids the computational cost associated with solving TSP and VRP directly. In this study, we propose a route length estimation formula based on rectilinear distances by considering the shape of the area. We calibrated the parameters through numerical experiments. Thus, our proposed formula can estimate the average tour length in rectilinear distance with high accuracy; and as the number of points increases, the influence of the shape decreases.

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Literature
1.
go back to reference Applegate DL, Bixby RE, Chvatál V, Cook WJ (2006) The traveling salesman problem. Computational study. Princeton University Press, Princeton, New Jersey Applegate DL, Bixby RE, Chvatál V, Cook WJ (2006) The traveling salesman problem. Computational study. Princeton University Press, Princeton, New Jersey
6.
go back to reference Johnson DS, McGeoch LA, Rothberg EE (1996) Asymptotic experimental analysis for the Held-Karp traveling salesman bound. In: The proceedings of the 7th annual ACM-SIAM symposium on discrete algorithms, pp. 341–350, Atlanta, Georgia Johnson DS, McGeoch LA, Rothberg EE (1996) Asymptotic experimental analysis for the Held-Karp traveling salesman bound. In: The proceedings of the 7th annual ACM-SIAM symposium on discrete algorithms, pp. 341–350, Atlanta, Georgia
7.
go back to reference Deza E, Deza MM (2014) Encyclopedia of distances. Springer-Verlag, Berlin, HeidelbergCrossRef Deza E, Deza MM (2014) Encyclopedia of distances. Springer-Verlag, Berlin, HeidelbergCrossRef
15.
go back to reference Johnson DS, McGeoch LA (2002) Experimental analysis of heuristic for the STSP. In: Gutin G, Punnen AP (eds) The traveling salesman problems and its variations. Kluwer Acdemic Publishers. Springer New York, New York, pp 369–443 Johnson DS, McGeoch LA (2002) Experimental analysis of heuristic for the STSP. In: Gutin G, Punnen AP (eds) The traveling salesman problems and its variations. Kluwer Acdemic Publishers. Springer New York, New York, pp 369–443
Metadata
Title
Average TSP Tour Length Approximations for Territory Design
Authors
Daisuke Hasegawa
Naoshi Shiono
Copyright Year
2024
Publisher
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-97-0194-0_5

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