A context-based geoprocessing framework for optimizing meetup location of multiple moving objects along road networks

ABSTRACT Given different types of constraints on human life, people must make decisions that satisfy social activity needs. Minimizing costs (i.e. distance, time, or money) associated with travel plays an important role in perceived and realized social quality of life. Identifying optimal interaction locations on road networks when there are multiple moving objects (MMO) with space–time constraints remains a challenge. In this research, we formalize the problem of finding dynamic ideal interaction locations for MMO as a spatial optimization model and introduce a context-based geoprocessing heuristic framework to address this problem. As a proof of concept, a case study involving identification of a meetup location for multiple people under traffic conditions is used to validate the proposed geoprocessing framework. Five heuristic methods with regard to efficient shortest-path search space have been tested. We find that the R* tree-based algorithm performs the best with high quality solutions and low computation time. This framework is implemented in a geographic information systems environment to facilitate integration with external geographic contextual information, e.g. temporary road barriers, points of interest, and real-time traffic information, when dynamically searching for ideal meetup sites. The proposed method can be applied in trip planning, carpooling services, collaborative interaction, and logistics management.

[1]  M. Haklay How Good is Volunteered Geographical Information? A Comparative Study of OpenStreetMap and Ordnance Survey Datasets , 2010 .

[2]  Q. Wu,et al.  A shortest path algorithm with novel heuristics for dynamic transportation networks , 2007, Int. J. Geogr. Inf. Sci..

[3]  Wilfred Ng,et al.  Efficient algorithms for finding optimal meeting point on road networks , 2011, Proc. VLDB Endow..

[4]  H. Miller A MEASUREMENT THEORY FOR TIME GEOGRAPHY , 2005 .

[5]  Harvey J. Miller,et al.  Modelling accessibility using space-time prism concepts within geographical information systems , 1991, Int. J. Geogr. Inf. Sci..

[6]  Piotr Indyk,et al.  Fast estimation of diameter and shortest paths (without matrix multiplication) , 1996, SODA '96.

[7]  Chris Fleizach The R*-Tree: An Efficient and Robust Access Method for Points and Rectangles , 2017 .

[8]  Andrew V. Goldberg,et al.  Computing the shortest path: A search meets graph theory , 2005, SODA '05.

[9]  Dorothea Wagner,et al.  Engineering multilevel overlay graphs for shortest-path queries , 2009, JEAL.

[10]  Edsger W. Dijkstra,et al.  A note on two problems in connexion with graphs , 1959, Numerische Mathematik.

[11]  Peter Sanders,et al.  Contraction Hierarchies: Faster and Simpler Hierarchical Routing in Road Networks , 2008, WEA.

[12]  Robert Weibel,et al.  Analysis of movement data , 2016, Int. J. Geogr. Inf. Sci..

[13]  Cun-Hui Zhang,et al.  A modified Weiszfeld algorithm for the Fermat-Weber location problem , 2001, Math. Program..

[14]  Jon Louis Bentley,et al.  Multidimensional binary search trees used for associative searching , 1975, CACM.

[15]  Luc-Normand Tellier,et al.  The Weber Problem: Solution and Interpretation* , 2010 .

[16]  Richard L. Church,et al.  Finding shortest paths on real road networks: the case for A* , 2009, Int. J. Geogr. Inf. Sci..

[17]  Mei-Po Kwan,et al.  Space-time accessibility measures: A geocomputational algorithm with a focus on the feasible opportunity set and possible activity duration , 2003, J. Geogr. Syst..

[18]  Mei-Po Kwan,et al.  The Internet, mobile phone and space-time constraints , 2008 .

[19]  A. Shalaby,et al.  The Four Pillars of Sustainable Urban Transportation , 2005 .

[20]  Wilfred Ng,et al.  Efficient processing of optimal meeting point queries in Euclidean space and road networks , 2013, Knowledge and Information Systems.

[21]  F. Frances Yao,et al.  Computational Geometry , 1991, Handbook of Theoretical Computer Science, Volume A: Algorithms and Complexity.

[22]  Dennis Luxen,et al.  Real-time routing with OpenStreetMap data , 2011, GIS.

[23]  Jay Lee,et al.  On Applying Viewshed Analysis for Determining Least-Cost Paths on Digital Elevation Models , 1998, Int. J. Geogr. Inf. Sci..

[24]  N. Gale,et al.  Exploring the anchor-point hypothesis of spatial cognition , 1987 .

[25]  Bettina Speckmann,et al.  Analysis and visualisation of movement: an interdisciplinary review , 2015, Movement Ecology.

[26]  Hanan Samet,et al.  Scalable network distance browsing in spatial databases , 2008, SIGMOD Conference.

[27]  Alan T. Murray Site placement uncertainty in location analysis , 2003, Comput. Environ. Urban Syst..

[28]  Alexander Zipf,et al.  An Introduction to OpenStreetMap in Geographic Information Science: Experiences, Research, and Applications , 2015, OpenStreetMap in GIScience.

[29]  Hans-Arno Jacobsen,et al.  Processing proximity relations in road networks , 2010, SIGMOD Conference.

[30]  Tijs Neutens,et al.  Anchor uncertainty and space-time prisms on road networks , 2010, Int. J. Geogr. Inf. Sci..

[31]  SeegerBernhard,et al.  The R*-tree: an efficient and robust access method for points and rectangles , 1990 .

[32]  A. Páez,et al.  Sustainable Urban transportation: Performance indicators and some analytical approaches , 2002 .

[33]  David H. Douglas Least-cost Path in GIS Using an Accumulated Cost Surface and Slopelines , 1994 .

[34]  Krzysztof Janowicz,et al.  POI Pulse: A Multi-granular, Semantic Signature–Based Information Observatory for the Interactive Visualization of Big Geosocial Data , 2015, Cartogr. Int. J. Geogr. Inf. Geovisualization.

[35]  Hongbo Yu,et al.  A GIS-based time-geographic approach of studying individual activities and interactions in a hybrid physical–virtual space , 2009 .

[36]  Leon Cooper,et al.  AN EXTENSION OF THE GENERALIZED WEBER PROBLEM , 1968 .

[37]  Peter Sanders,et al.  Exact Routing in Large Road Networks Using Contraction Hierarchies , 2012, Transp. Sci..

[38]  S. Hakimi Optimum Distribution of Switching Centers in a Communication Network and Some Related Graph Theoretic Problems , 1965 .

[39]  Zvi Drezner,et al.  On the Set of Optimal Points to the Weber Problem , 1991, Transp. Sci..

[40]  A. Stewart Fotheringham,et al.  Analysis of human mobility patterns from GPS trajectories and contextual information , 2016, Int. J. Geogr. Inf. Sci..

[41]  Stephan Winter,et al.  Activity-based ridesharing: increasing flexibility by time geography , 2016, SIGSPATIAL/GIS.

[42]  Richard L. Church,et al.  Business Site Selection, Location Analysis and GIS , 2008 .

[43]  Harvey J. Miller,et al.  Green Accessibility: Estimating the Environmental Costs of Network-Time Prisms for Sustainable Transportation Planning , 2017 .

[44]  Bart Kuijpers,et al.  Modeling uncertainty of moving objects on road networks via space–time prisms , 2009, Int. J. Geogr. Inf. Sci..

[45]  Bettina Speckmann,et al.  Context-Aware Similarity of Trajectories , 2012, GIScience.

[46]  Harvey J. Miller,et al.  Necessary Space—Time Conditions for Human Interaction , 2005 .

[47]  Xuedong Yan,et al.  A Traffic Congestion Assessment Method for Urban Road Networks Based on Speed Performance Index , 2016 .

[48]  Alan T. Murray,et al.  Efficient measurement of continuous space shortest distance around barriers , 2013, Int. J. Geogr. Inf. Sci..

[49]  Torsten Hägerstraand WHAT ABOUT PEOPLE IN REGIONAL SCIENCE , 1970 .

[50]  Geoff Boeing,et al.  OSMnx: New Methods for Acquiring, Constructing, Analyzing, and Visualizing Complex Street Networks , 2016, Comput. Environ. Urban Syst..

[51]  M. Shirosaki Another proof of the defect relation for moving targets , 1991 .

[52]  M. Goodchild,et al.  An optimisation model for linear feature matching in geographical data conflation , 2011 .

[53]  Alan T. Murray,et al.  Spatial Optimization in Geography , 2012 .

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

[55]  Dorothea Wagner,et al.  Speed-Up Techniques for Shortest-Path Computations , 2007, STACS.