NDLI: Spatial Transformation of Equality – Generalized Travelling Salesman Problem to Travelling Salesman Problem

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Spatial Transformation of Equality – Generalized Travelling Salesman Problem to Travelling Salesman Problem

Content Provider	Directory of Open Access Journals (DOAJ)
Author	Mohammed Zia Dursun Zafer Seker Ziyadin Cakir
Abstract	The Equality-Generalized Travelling Salesman Problem (E-GTSP), which is an extension of the Travelling Salesman Problem (TSP), is stated as follows: given groups of points within a city, like banks, supermarkets, etc., find a minimum cost Hamiltonian cycle that visits each group exactly once. It can model many real-life combinatorial optimization scenarios more efficiently than TSP. This study presents five spatially driven search-algorithms for possible transformation of E-GTSP to TSP by considering the spatial spread of points in a given urban city. Presented algorithms are tested over 15 different cities, classified by their street-network's fractal-dimension. Obtained results denote that the R-Search algorithm, which selects the points from each group based on their radial separation with respect to the start–end point, is the best search criterion for any E-GTSP to TSP conversion modelled for a city street network. An 8.8% length error has been reported for this algorithm.
Related Links	http://www.mdpi.com/2220-9964/7/3/115
e-ISSN	22209964
DOI	10.3390/ijgi7030115
Journal	ISPRS International Journal of Geo-Information
Issue Number	3
Volume Number	7
Language	English
Publisher	MDPI AG
Publisher Date	2018-01-01
Publisher Place	Switzerland
Access Restriction	Open
Subject Keyword	Geography (general) Generalized Travelling Salesman Problem Shortest Route Combinatorial Optimization Openstreetmap
Content Type	Text
Resource Type	Article

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