Is Euclidean Distance Really that Bad with Road Networks?

Spatial queries play an important role in many transportation services. Existing solutions to spatial queries commonly rely on the measurement of road network distance, which is the length of the shortest path from one point to another in a road network. Due to the high computation cost of measuring road network distance, a service provider may not be able to handle all the queries in a timely manner. We are interested in Euclidean distance-based solutions to spatial queries as Euclidean distance is significantly cheaper to compute than road network distance. A common view is that Euclidean distance is not suitable for solving any spatial query in road networks as road network distance can be significantly different to Euclidean distance. We challenge this view by evaluating the performance of an Euclidean distance-based approach in solving Group Nearest Neighbor queries, which can be used in transportation applications. Our study shows that Euclidean distance can help to achieve an excellent level of accuracy in solving the associated query type. In return, this opens the door for other studies to check whether similar results could be found in other query types and that per query type a judgement should be made.

[1]  S. Muthukrishnan,et al.  Influence sets based on reverse nearest neighbor queries , 2000, SIGMOD '00.

[2]  Shashi Shekhar,et al.  Processing in-route nearest neighbor queries: a comparison of alternative approaches , 2003, GIS '03.

[3]  Nick Roussopoulos,et al.  Nearest neighbor queries , 1995, SIGMOD '95.

[4]  F. Benjamin Zhan,et al.  Shortest Path Algorithms: An Evaluation Using Real Road Networks , 1998, Transp. Sci..

[5]  Kotagiri Ramamohanarao,et al.  Probabilistic Voronoi diagrams for probabilistic moving nearest neighbor queries , 2011, Data Knowl. Eng..

[6]  Kyriakos Mouratidis,et al.  Group nearest neighbor queries , 2004, Proceedings. 20th International Conference on Data Engineering.

[7]  Yufei Tao,et al.  Query Processing in Spatial Network Databases , 2003, VLDB.

[8]  Lars Kulik,et al.  Incremental Rank Updates for Moving Query Points , 2006, GIScience.

[9]  Kotagiri Ramamohanarao,et al.  Continuous Detour Queries in Spatial Networks , 2012, IEEE Transactions on Knowledge and Data Engineering.

[10]  Rui Zhang,et al.  Visible Nearest Neighbor Queries , 2007, DASFAA.

[11]  Stefania Bertazzon,et al.  Comparison of distance measures in spatial analytical modeling for health service planning , 2009, BMC health services research.

[12]  Michael Barbehenn,et al.  A Note on the Complexity of Dijkstra's Algorithm for Graphs with Weighted Vertices , 1998, IEEE Trans. Computers.

[13]  Nils J. Nilsson,et al.  A Formal Basis for the Heuristic Determination of Minimum Cost Paths , 1968, IEEE Trans. Syst. Sci. Cybern..

[14]  Lars Kulik,et al.  Analysis and evaluation of V*-kNN: an efficient algorithm for moving kNN queries , 2010, The VLDB Journal.

[15]  Hanan Samet,et al.  Ranking in Spatial Databases , 1995, SSD.

[16]  Kotagiri Ramamohanarao,et al.  SMARTS: Scalable Microscopic Adaptive Road Traffic Simulator , 2017, ACM Trans. Intell. Syst. Technol..

[17]  Hua Lu,et al.  Two ellipse-based pruning methods for group nearest neighbor queries , 2005, GIS '05.

[18]  Hanan Samet,et al.  Analytical queries on road networks: an experimental evaluation of two system architectures , 2015, SIGSPATIAL/GIS.

[19]  Divyakant Agrawal,et al.  Reverse Nearest Neighbor Queries for Dynamic Databases , 2000, ACM SIGMOD Workshop on Research Issues in Data Mining and Knowledge Discovery.

[20]  Cyrus Shahabi,et al.  A Road Network Embedding Technique for K-Nearest Neighbor Search in Moving Object Databases , 2002, GIS '02.

[21]  Yufei Tao,et al.  Reverse Nearest Neighbor Search in Metric Spaces , 2006, IEEE Transactions on Knowledge and Data Engineering.

[22]  Cyrus Shahabi,et al.  Alternative Solutions for Continuous K Nearest Neighbor Queries in Spatial Network Databases , 2005, STDBM.

[23]  Kyriakos Mouratidis,et al.  Continuous nearest neighbor monitoring in road networks , 2006, VLDB.