### Abstract

Combined with Geographic Information System (GIS) and Global Positioning System (GPS), the vehicle navigation system had become a quite popular product in daily life. A key component of the navigation system is the Shortest Path Algorithm. Navigation in real world must face a network consists of tens of thousands nodes and links, and even more. Under the limited computation capability of vehicle navigation equipment, it is difficult to satisfy the realtime response requirement that user expected. Hence, this study focused on shortest path algorithm that enhances the computation speed with less memory requirement. Several well-known algorithms such as Dijkstra, A^{*} and hierarchical concepts were integrated to build hybrid algorithms that reduce searching space and improve searching speed. Numerical examples were conducted on Taiwan highway network that consists of more than four hundred thousands of links and nearly three hundred thousands of nodes. This real network was divided into two connected sub-networks (layers). The upper layer is constructed by freeways and expressways; the lower layer is constructed by local networks. Test origin-destination pairs were chosen randomly and divided into three distance categories; short, medium and long distances. The evaluation of outcome is judged by actual length and travel time. The numerical example reveals that the hybrid algorithm proposed by this research might be tens of thousands times faster than traditional Dijkstra algorithm; the memory requirement of the hybrid algorithm is also much smaller than the tradition algorithm. This outcome shows that this proposed algorithm would have an advantage over vehicle navigation system.

Original language | English |
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Title of host publication | Computation in Modern Science and Engineering - Proceedings of the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007) |

Pages | 1024-1027 |

Number of pages | 4 |

Edition | 2 |

DOIs | |

State | Published - 1 Dec 2007 |

Event | International Conference on Computational Methods in Science and Engineering 2007, ICCMSE 2007 - Corfu, Greece Duration: 25 Sep 2007 → 30 Sep 2007 |

### Publication series

Name | AIP Conference Proceedings |
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Number | 2 |

Volume | 963 |

ISSN (Print) | 0094-243X |

ISSN (Electronic) | 1551-7616 |

### Conference

Conference | International Conference on Computational Methods in Science and Engineering 2007, ICCMSE 2007 |
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Country | Greece |

City | Corfu |

Period | 25/09/07 → 30/09/07 |

### Keywords

- Heuristics
- Hierarchical network
- Shortest path algorithm

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## Cite this

*Computation in Modern Science and Engineering - Proceedings of the International Conference on Computational Methods in Science and Engineering 2007 (ICCMSE 2007)*(2 ed., pp. 1024-1027). (AIP Conference Proceedings; Vol. 963, No. 2). https://doi.org/10.1063/1.2835913