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Fastest-Path Computation

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Encyclopedia of GIS
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Synonyms

A∗ Algorithm; Dijktra’s shortest path algorithm; Driving direction; Fastest route; Shortest paths

Definition

In the United states, only 9.3 % of the households do not have cars. Driving is part of people’s daily life. GIS systems like MapQuest and MapPoint are heavily relied on to provide driving directions. However, surprisingly enough, existing systems either ignore the driving speed on road networks or assume that the speed remains constant on the road segments. In both cases, the users’ preferred leaving time does not affect the query result. For instance, MapQuest does not ask the users to input the day and time of driving. However, during rush hour, inbound highways to big cities allow much lower speeds than usual. Therefore, a fastest path computed during non-rush hours, which may consist of some inbound highway segments, may not remain the fastest path during rush hour.

Consider a road network modeled as a graph where each node is a road intersection and each edge is a...

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References

  • Chabini I (1998) Discrete dynamic shortest path problems in transportation applications. Transp Res Rec 1645:170–175

    Article  Google Scholar 

  • Chakka VP, Everspaugh A, Patel JM (2003) Indexing large trajectory data sets with SETI. In: Biennial conference on innovative data systems research (CIDR), Asilomar

    Google Scholar 

  • Huang Y, Jing N, Rundensteiner E (1997) Spatial joins using R-trees: breadth-first traversal with global optimizations. In: VLDB, Athens, pp 396–405

    Google Scholar 

  • Jiang B (1992) I/O-efficiency of shortest path algorithms: an analysis. In: ICDE, Tempe. IEEE Computer Society, pp 12–19

    Google Scholar 

  • Jing N, Huang YW, Rundensteiner EA (1998) Hierarchical encoded path views for path query processing: an optimal model and its performance evaluation. TKDE 10(3):409–432

    Google Scholar 

  • Kamoun F, Kleinrock L (1977) Hierarchical routing for large networks: performance evaluation and optimization. Comput Netw 1:155–174

    MathSciNet  Google Scholar 

  • Kanoulas E, Du Y, Xia T, Zhang D (2006) Finding fastest paths on a road network with speed patterns. In: ICDE, Atlanta. IEEE Computer Society

    Book  Google Scholar 

  • Kung RM, Hanson EN, Ioannidis YE, Sellis TK, Shapiro LD, Stonebraker M (1984) Heuristic search in data base systems. In: Expert database systems workshop (EDS), Kiawah Island, pp 537–548

    Google Scholar 

  • Nachtigall K (1995) Time depending shortest-path problems with applications to railway networks. Eur J Oper Res 83:154–166

    Article  MATH  Google Scholar 

  • Orda A, Rom R (1991) Minimum weight paths in timedependent networks. Networks Int J 21:295–320

    MATH  Google Scholar 

  • Pallottino S, Scutellà MG (1998) Shortest path algorithms in transportation models: classical and innovative aspects. In: Marcotte P, Nguyen S (eds) Equilibrium and advanced transportation modelling. Kluwer Academic Publishers, New York, pp 245–281

    Chapter  Google Scholar 

  • Shekhar S, Fetterer A, Goyal B (1997) Materialization trade-offs in hierarchical shortest path algorithms. In: SSTD. Springer, Berlin, pp 94–111

    Google Scholar 

  • Shekhar S, Kohli A, Coyle M (1993) Path computation algorithms for advanced traveller information system (ATIS). In: ICDE, Vienna. IEEE Computer Society, pp 31–39

    Google Scholar 

  • Sung K, Bell MGH, Seong M, Park S (2000) Shortest paths in a network with timedependent flow speeds. Eur J Oper Res 121(1):32–39

    Article  MATH  Google Scholar 

  • Zhao JL, Zaki A (1994) Spatial data traversal in road map databases: a graph indexing approach. In: Proceedings of international conference on information and knowledge management (CIKM), Gaithersburg. ACM, pp 355–362

    Google Scholar 

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Zhang, D. (2017). Fastest-Path Computation. In: Shekhar, S., Xiong, H., Zhou, X. (eds) Encyclopedia of GIS. Springer, Cham. https://doi.org/10.1007/978-3-319-17885-1_403

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