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TitleFinding theKth shortest path in a time-schedule network
CreatorTang, Kwei;Chen, Yen-Liang
唐揆
Contributor企管系
Key Words
Date2005
Date Issued9-Mar-2015 16:18:11 (UTC+8)
SummaryWe consider the problem of finding the Kth shortest path for a time-schedule network, where each node in the network has a list of prespecified departure times, and departure from the node can take place only at one of these departure times. We develop a polynomial time algorithm independent of K for finding the Kth shortest path. The proposed algorithm constructs a map structure at each node in the network, using which we can directly find the Kth shortest path without having to enumerate the first K − 1 paths. Since the same map structure is used for different K values, it is not necessary to reconstruct the table for additional paths. Consequently, the algorithm is suitable for directly finding multiple shortest paths in the same network. Furthermore, the algorithm is modified slightly for enumerating the first K shortest paths and is shown to have the lowest possible time complexity under a condition that holds for most practical networks.
RelationNaval Research Logistics , 52(1), 93-102
Typearticle
DOI http://dx.doi.org/10.1002/nav.20061
dc.contributor 企管系
dc.creator (作者) Tang, Kwei;Chen, Yen-Liang
dc.creator (作者) 唐揆zh_TW
dc.date (日期) 2005
dc.date.accessioned 9-Mar-2015 16:18:11 (UTC+8)-
dc.date.available 9-Mar-2015 16:18:11 (UTC+8)-
dc.date.issued (上傳時間) 9-Mar-2015 16:18:11 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/73707-
dc.description.abstract (摘要) We consider the problem of finding the Kth shortest path for a time-schedule network, where each node in the network has a list of prespecified departure times, and departure from the node can take place only at one of these departure times. We develop a polynomial time algorithm independent of K for finding the Kth shortest path. The proposed algorithm constructs a map structure at each node in the network, using which we can directly find the Kth shortest path without having to enumerate the first K − 1 paths. Since the same map structure is used for different K values, it is not necessary to reconstruct the table for additional paths. Consequently, the algorithm is suitable for directly finding multiple shortest paths in the same network. Furthermore, the algorithm is modified slightly for enumerating the first K shortest paths and is shown to have the lowest possible time complexity under a condition that holds for most practical networks.
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dc.relation (關聯) Naval Research Logistics , 52(1), 93-102
dc.subject (關鍵詞)
dc.title (題名) Finding theKth shortest path in a time-schedule network
dc.type (資料類型) articleen
dc.identifier.doi (DOI) 10.1002/nav.20061en_US
dc.doi.uri (DOI) http://dx.doi.org/10.1002/nav.20061 en_US