Abstract
Optimal location query in road networks is a basic operation in the location intelligence applications. Given a set of clients and servers on a road network, the purpose of optimal location query is to obtain a location for a new server, so that a certain objective function calculated based on the locations of clients and servers is optimal. Existing works assume no labels for servers and that a client only visits the nearest server. These assumptions are not realistic and it renders the existing work not useful in many cases. In this paper, we relax these assumptions and consider the k nearest neighbours (KNN) of clients. We introduce the problem of KNN-based optimal location query (KOLQ) which considers the k nearest servers of clients and labeled servers. We also introduce a variant problem called relocation KOLQ (RKOLQ) which aims at relocating an existing server to an optimal location. Two main analysis algorithms are proposed for these problems. Extensive experiments on the real road networks illustrate the efficiency of our proposed solutions.
Similar content being viewed by others
References
Cabello S, Diaz-Banez J M, Langerman S, Seara C, Ventura I. Reverse Facility Location Problems. Ljubljana: University of Ljubljana, Department of Mathematics, 2006
Cardinal J, Langerman S. Min-max-min geometric facility location problems. In: Proceedings of European Workshop on Computational Geometry. 2006, 149–152
Jakob K R A, Pruzan P M. The simple plant location problem: survey and synthesis. European Journal of Operational Research, 1983, 12: 36–81
Tansel B C, Francis R L, Lowe T J. Location on networks: a survey. Management Science, 1983, 29(4): 498–511
Xiao X K, Yao B, Li F F. Optimal location queries in road network databases. In: Proceedings of IEEE International Conference on Data Engineering. 2011, 804–815
Van Kreveld M, Schwarzkopf O, de Berg M, Overmars M. Computational Geometry Algorithms and Applications. Heidelberg: Springer, 2000
Yao B, Xiao X K, Li F F, Wu Y F. Dynamic monitoring of optimal locations in road network databases. The VLDB Journal—The International Journal on Very Large Data Bases, 2014, 23(5): 697–720
Qi J Z, Zhang R, Kulik L, Lin D, Xue Y. The min-dist location selection query. In: Proceedings of IEEE International Conference on Data Engineering. 2012, 366–377
Qi J Z, Zhang R, Wang Y Q, Xue A Y, Yu G, Kulik L. The min-dist location selection and facility replacement queries. World Wide Web, 2014, 17(6): 1261–1293
Chen Z, Liu Y B, Wong R C W, Xiong J M, Mai G L, Long C. Efficient algorithms for optimal location queries in road networks. In: Proceedings of the ACM SIGMOD International Conference on Management of Data. 2014, 123–134
Chen Z T, Liu Y B, Wong R C W, Xiong J M, Mai G L, Long C. Optimal location queries in road networks. ACM Transactions on Database Systems, 2015, 40(3): 17
Gu Y, Zhang H, Wang Z, Yu G. Efficient moving k nearest neighbor queries over line segment objects. World Wide Web, 2016, 19(4): 653–677
Cui J T, Wang M, Li H, Cai Y. Place your next branch with MILE-RUN: min-dist location selection over user movement. Information Sciences, 2018, 463: 1–20
Shokeen S. A study on fast food consumption pattern in India. International Journal of Research and Engineering, 2016, 3(12): 10–15
Chen Z T, Liu Y B, Fu A W C, Wong R C W, Dai G N. KOLQ in a road network. In: Proceedings of IEEE International Conference on Mobile Data Management. 2019, 81–90
Sankaranarayanan J, Samet H, Alborzi H. Path oracles for spatial networks. Proceedings of the VLDB Endowment, 2009, 2(1): 1210–1221
Hu H, Lee D L, Lee V. Distance indexing on road networks. In: Proceedings of the International Conference on Very Large Data Bases. 2006, 894–905
Samet H, Sankaranarayanan J, Alborzi H. Scalable network distance browsing in spatial databases. In: Proceedings of the 2008 ACM SIG-MOD International Conference on Management of Data. 2008, 43–54
Mouratidis K, Yiu M L, Papadias D, Mamoulis N. Continuous nearest neighbor monitoring in road networks. In: Proceedings of the 32nd International Conference on Very Large Data Bases. 2006, 43–54
Cheema M A, Zhang W, Lin X, Zhang Y, Li X F. Continuous reverse k nearest neighbors queries in euclidean space and in spatial networks. The VLDB Journal—The International Journal on Very Large Data Bases, 2012, 21(1): 69–95
Yan D, Zhao Z, Ng W. Efficient algorithms for finding optimal meeting point on road networks. Proceedings of the VLDB Endowment, 2011, 4(11): 968–979
Qi J Z, Xu Z H, Xue Y, Wen Z Y. A branch and bound method for mindist location selection queries. In: Proceedings of the 23rd Australasian Database Conference-Volume 124. 2012, 51–60
Huang J, Wen Z Y, Qi J Z, Zhang R, Chen J, He Z. Top-k most influential locations selection. In: Proceedings of the 20th ACM International Conference on Information and Knowledge Management. 2011, 2377–2380
Gao Y J, Qi S Y, Chen L, Zheng B H, Li X H. On efficient k-optimal-location-selection query processing in metric spaces. Information Sciences, 2015, 298: 98–117
Wong R C W, Ozsu M T, Fu A W C, Yu P S, Liu L. Efficient method for maximizing bichromatic reverse nearest neighbor. Proceedings of the VLDB Endowment, 2009, 2(1): 1126–1137
Wong R C W, Ozsu M T, Fu A W C, Yu P S, Liu L, Liu Y B. Maximizing bichromatic reverse nearest neighbor for Lp-norm in two-and three-dimensional spaces. The VLDB Journal—The International Journal on Very Large Data Bases, 2011, 20(6): 893–919
Yan D, Wong R C W, Ng W. Efficient methods for finding influential locations with adaptive grids. In: Proceedings of the 20th ACM International Conference on Information and Knowledge Management. 2011, 1475–1484
Liu Y B, Wong R C W, Wang K, Li Z J, Chen C, Chen Z T. A new approach for maximizing bichromatic reverse nearest neighbor search. Knowledge and Information Systems, 2013, 36(1): 23–58
Zhou Z N, Wu W, Li X H, Li M L, Hsu W. Maxfirst for maxbrknn. In: Proceedings of IEEE International Conference on Data Engineering. 2011, 828–839
Liu R F, Fu A W C, Chen Z T, Huang Sl L, Liu Y B. Finding multiple new optimal locations in a road network. In: Proceedings of the 24th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems. 2016, 1–10
Ghaemi P, Shahabi K, Wilson J P, Kashani F B. A comparative study of two approaches for supporting optimal network location queries. GeoInformatica, 2014, 18(2): 229–251
Gamper J, Bohlen M, Innerebner M. Scalable computation of isochrones with network expiration. In: Proceedings of International Conference on Scientific and Statistical Database Management. 2012, 526–543
Xu Z D, Jacobsen H A. Processing proximity relations in road networks. In: Proceedings of the ACM SIGMOD International Conference on Management of Data. 2010, 243–254
Yilmaz E, Elbasi S, Ferhatosmanoglu H. Predicting optimal facility location without customer locations. In: Proceedings of the 23rd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. 2017, 2121–2130
Du Y, Zhang D H, Xia T. The optimal-location query. In: Proceedings of International Symposium on Spatial and Temporal Databases. 2005, 163–180
Zhang D H, Du Y, Xia T, Tao Y F. Progressive computation of the min-dist optimal-location query. In: Proceedings of the International Conference on Very Large Data Bases. 2006, 643–654
Yiu M L, Mamoulis N, Papadias D. Aggregate nearest neighbor queries in road networks. IEEE Transactions on Knowledge and Data Engineering, 2005, 17(6): 820–833
Papadias D, Tao Y F, Mouratidis K, Hui K. Aggregate nearest neighbor queries in spatial databases. ACM Transactions on Database Systems, 2005, 30(2): 529–576
Elmongui H G, Mokbel M F, Aref W G. Continuous aggregate nearest neighbor queries. GeoInformatica, 2013, 17(1): 63–95
Korn F, Muthukrishnan S. Influence sets based on reverse nearest neighbor queries. ACM Sigmod Record, 2000, 29(2): 201–212
Vlachou A, Doulkeridis C, Kotidis Y, Norvag K. Monochromatic and bichromatic reverse top-k queries. IEEE Transactions on Knowledge and Data Engineering, 2011, 23(8): 1215–1229
Bernecker T, Emrich T, Kriegel H P, Renz M, Zankl S, Zufle A. Efficient probabilistic reverse nearest neighbor query processing on uncertain data. Proceedings of the VLDB Endowment, 2011, 4(10): 669–680
Cheema M A, Lin X, Wang W, Zhang W J, Pei J. Probabilistic reverse nearest neighbor queries on uncertain data. IEEE Transactions on Knowledge and Data Engineering, 2009, 22(4): 550–564
Xu L, Mai G L, Chen Z T, Liu Y B, Dai G N. MinSum based optimal location query in road networks. In: Proceedings of International Conference on Database Systems for Advanced Applications. 2017, 441–457
Dijkstra E W. A note on two problems in connexion with graphs. Numerische Mathematik, 1959, 1(1): 269–271
Acknowledgements
We would like to thank all the anonymous reviewers for their insightful and helpful comments. This paper was supported by the National Nature Science Foundation of China (Grant Nos. 61572537, U1501252).
Author information
Authors and Affiliations
Corresponding author
Additional information
The initial version of this work has been included in the proceedings of MDM 2019 as a regular research paper [15]
Yubao Liu is currently a professor with the Department of Computer Science of Sun Yat-Sen University, China. He received his PhD in computer science from Huazhong University of Science and Technology, China in 2003. He has published more than 50 refereed journal and conference papers including SIGMOD, TODS, VLDB and VLDBJ, etc. His research interests include database systems and data mining. He is a senior member of the China Computer Federation (CCF).
Zitong Chen is currently working towards the PhD degree in the Department of Computer Science and Engineering, the Chinese University of Hong Kong, China. His research interests include database, data mining, and machine learning.
Ada Wai-Chee Fu received her BSc degree in computer science in the Chinese University of Hong Kong, China in 1983, and both MSc and PhD degrees in Computer Science in Simon Fraser University of Canada in 1986, 1990, respectively; worked at Bell Northern Research in Ottawa, Canada from 1989 to 1993; joined the Chinese University of Hong Kong, China in 1993.
Raymond Chi-Wing Wong is an associate professor in Computer Science and Engineering (CSE) of The Hong Kong University of Science and Technology (HKUST), China. He is currently the associate director of the Data Science and Technology (DSCT) program. He was the director of the Risk Management and Business Intelligence (RMBI) program from 2017 to 2019, the director of the Computer Engineering (CPEG) program from 2014 to 2016 and was the associate director of the Computer Engineering (CPEG) program from 2012 to 2014. He received the BSc, MPhil and PhD degrees in Computer Science and Engineering in the Chinese University of Hong Kong (CUHK), China in 2002, 2004 and 2008, respectively.
Genan Dai is currently working towards the PhD degree in the School of Data and Computer Science, Sun Yat-Sen University, China. Her research interests include data mining and artificial intelligence.
Electronic supplementary material
Rights and permissions
About this article
Cite this article
Liu, Y., Chen, Z., Fu, A.WC. et al. Optimal location query based on k nearest neighbours. Front. Comput. Sci. 15, 152606 (2021). https://doi.org/10.1007/s11704-020-9279-6
Received:
Published:
DOI: https://doi.org/10.1007/s11704-020-9279-6