• ISSN 0258-2724
  • CN 51-1277/U
  • EI Compendex
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  • Chinese Science Citation Database
Volume 20 Issue 5
Oct.  2007
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Article Contents
HAO Guang, ZHANG Dianye, FENG Xunsheng. Model and Algorithm for Shortest Path of Multiple Objectives[J]. Journal of Southwest Jiaotong University, 2007, 20(5): 641-646.
Citation: HAO Guang, ZHANG Dianye, FENG Xunsheng. Model and Algorithm for Shortest Path of Multiple Objectives[J]. Journal of Southwest Jiaotong University, 2007, 20(5): 641-646.

Model and Algorithm for Shortest Path of Multiple Objectives

  • Received Date: 30 Jun 2006
  • Publish Date: 25 Oct 2007
  • To obtain acceptable shortest paths,which meet the decision-maker’s requirements,for a multi-objective shortest path problem,a model and a polynomial algorithm were presented.The algorithm is a combination of a k-shortest path algorithm and a multi-objective lattice-order decision-making method.In the algorithm,a set of feasible paths for each objective is determined using the k-shortest path algorithm according to the acceptable upper limit for the objective,and the intersection of all the sets is obtained.Then efficient paths in the intersection are compared with each other by the method of multi-objective lattice-order decision-making,and the best one in the set is finally selected as the acceptable path.

     

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  • DIJKSTRA E W.A note on two problems in connection with graphs[J].Numer.Math.,1959,1:269-271.[2] CAI X,KLOKS T,WONG C K.Time varying shortest path problems algorithm for problems with constraints[J].Networks,1997,29:141-149.[3] IRINA LOACHIM S G.A dynamic programming algorithm for the shortest path problem with time windows and linear node costs[J].Networks,1998,31:193-204.[4] BURTON D,Toint L.On an instance of the inverse shortest pairs problem[J].Mathematical Programming,1992,53:45-61.[5] YU G,YANG J.On the robust shortest path problem[J].Computer Ops.Res.,1998,25:457-468.[6] PELEGRIM B,FERNQNDEZ P.On the sum-max bi-criterion path problem[J].Computer Ops.Res.,1998,25:1 043-1 054.[7] CURRENT J,MARSH M.Multiobjective transportation network design and routing problems:taxonomy and annotation[J].European Journal of Operational Research,1993,65:1-15.[8] BRUMBAUGH S J,SHIER D.An empirical investigation of some bicriterion shortest path algorithms[J].European Journal of Operational Research,1989,43:216-224.[9] GRANATA J,GUERRIERO F.The interactive analysis of the multicriteria shortest path problem by the reference point method[J].European Journal of Operational Research,2003,151:103-118.[10] MARTINS E Q V.On a multicriteria shortest path problem[J].European Journal of Operational Research,1984,16:236-245.[11] AZVEDO J,MARTINS E Q V.An algorithm for the muhiobjective shortest path problem on acyclic networks[J].Investigacao Operational,1991,11:52-69[12] MARTINS E Q V,SANTOS J L E.The labeling algorithm for the multiobjective shortest path problem[R].CISUC Technical Report TR99/005,Coimbra,Portugal:University of Coimbra,1999.[13] GUERRIERO F,MUSMANNO R.Label correcting methods to solve multicriteria shortest path problems[J].Journal of Optimization Theory and Applications,2001,111 (3):589-613.[14] SKRIVER A J V,ERSEN KA.A label correcting approach for solving bicriterion shortest-path problems[J].Computers and Ops.Res.,2000,27:507-524.[15] CHEN Y L.An algorithm for finding the k quickest path in a network[J].Computer Ops.Res.,1992,20(1):59-65.[16] EPPSTEIN D.Finding the k shortest paths[J].SIAM Journal on Computing,1999,28 (2):652-673.[17] YEN J Y.Finding the k shortest loopless paths in a network[J].Management Science,1971,17 (11):712-716.[18] 郝光,牟奇峰,张殿业,等.基于格序偏好的模糊多目标决策方法[J].西南交通大学学报,2006,41(4):517-521.HAO Guang,MOU Qifeng,ZHANG Dianye,et al.Approach of fuzzy multiple objective decision making based on latticeorder preference[J].Journal of Southwest Jiaotong University,2006,41 (4):517-521.
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