Browse > Article

An One-To-One K-Shortest Path Algorithm Considering Vine Travel Pattern  

Lee, Mee-Young (위스콘신대학교 토목환경공학부)
Yu, Ki-Yun (서울대학교 지구환경시스템공학부)
Kim, Jeong-Hyun (한양대학교 토목환경공학부)
Shin, Seong-Il (서울시정개발연구원 도시교통연구부)
Publication Information
Journal of Korean Society of Transportation / v.21, no.6, 2003 , pp. 89-99 More about this Journal
Abstract
Considering a path represented by a sequence of link numbers in a network, the vine is differentiated from the loop in a sense that any link number can be appeared in the path only once, while more than once in the loop. The vine provides a proper idea how to account for complicated travel patterns such as U-turn and P-turn witnessed nearby intersections in urban roads. This paper proposes a new algorithm in which the vine travel pattern can be considered for finding K number of sequential paths. The main idea of this paper is achieved by replacing the node label of the existing Yen's algorithm by the link label technique. The case studies show that the algorithm properly represent the vine travel patterns in searching K number of paths. A noticeable result is that the algorithm may be a promising alternative for ITS deployment by enabling to provide reasonable route information including perceived traveler costs.
Keywords
K-th Path; VIne; Link-Label; Turn Delay; Turn Prohibition; Perceived Cost; Reasonable Alternative Route;
Citations & Related Records
연도 인용수 순위
  • Reference
1 노정현. 남궁성(1995), 도시가로망에 적합한 최단경로탐색 기법의 개발, 대한국토계획학회지, 제30권, 제5호
2 Azevedo J. A., Costa M. E. O. S., Madeira J.J.E.R.S., and Martins E.Q.V.(1993) An Algorithm from the Ranking of Shortest Paths, European Journal of Operational Research, Vol.69, pp.97-106   DOI   ScienceOn
3 Kirby R. F. and Potts R. B.(1969) The Minimum Route Problem for Networks with Turn Penalties and Prohibitions. Transportation Research 3, pp.397 -408   DOI   ScienceOn
4 Pollack M,(1961) The Kth Best Route Through A Network, Operations Research, Vol.9, pp.578-580   DOI   ScienceOn
5 Shier R. D. (1979) On Algorithms from Finding the k Shortest Paths in a Network, Networks, Vol.9, pp.195-214   DOI   ScienceOn
6 Van Vliet D.(1978) Improved Shortest Path Algorithms from Transport Networks, Transportation Research, Vol.12, pp.7-20   DOI   ScienceOn
7 김익기(1998). ATIS를 위한 수정형 덩굴망 최단경로 탐색 알고리즘의 개발, 대한교통학회지, 제16권 제2호, 대한교통학회, pp.157-167   과학기술학회마을
8 Moore E. F. (1957) The Shortest Path through A Maze. Proc. Int. Conf. on the Theory of Switching. Harvard Univ., Cambridge, MA.
9 Ziliaskopoulos A. K. and Mahmassani H. S.(1996) A Note on Least Time Path Computation Considering Delays and Prohibitions for Intersection Movements. Transportation Research 30B, pp.359-367
10 Dijkstra E. W.(1959) A Note of Two Problems in Connected with Graphs. Numerical Mathematics. I, pp.269-271
11 Rilett L. R. and Park D.(1996) Identifying Unique Routes in Transportation Networks, Presented at the 3rd Annual World Congress on Intelligent Transportation Systems, Orlando, Florida, October
12 최기주(1995) U-Turn을 포함한 가로망 표현 및 최단경로의 구현, 대한교통학회지, 제13권 제3호, 대한교통학회. pp.35-52   과학기술학회마을
13 Dreyfus S. E.(1969) An Appraisal of Some Shortest-Path Algorithms, Operational Research, Vol.17, No.3, pp.395-412   DOI   ScienceOn
14 Carraway R. L., Morin T. L., and Moskowitz H.(1990) Generalized Dynamic Programming for Multicriteria Optimization, European Journal of Operational Research, Vol.44, pp.95-104   DOI   ScienceOn
15 Bellman R.(1957) Dynamic Programming, Princeton University Press, Princeton, New Jersey
16 Bellman R. and Kalaba R. (1968) On Kth Best Policies. J. SIAM 8, pp.582-588
17 Hoffman W. and Pavley R.(1959) A Method for the Solution of the Nth Best Problem, Journal of ACM, Vol.6, No.4, pp.506-514   DOI
18 Martins E. Q. V. (1984) An Algorithm for Ranking Paths that May Contain Cycles, European Journal of Operational Research, Vol.18, pp.123-130   DOI   ScienceOn
19 Clarke S., Krikorian A., and Rausan J.(1963) Computing the N Best Loopless Paths in A Network, Journal of SIAM, Vol.11, No.4, pp.1096-1102
20 Thomas R.(1991) Traffic Assignment Techniques, Avebury Technical
21 Yen J. Y.(1971) Finding the K shortest Loopless Paths in a Network, Management Science, Vol.17, pp.711-715