Towards Efficient Path Skyline Computation in Bicriteria Networks

  • Dian Ouyang
  • Long Yuan
  • Fan Zhang
  • Lu Qin
  • Xuemin Lin
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10827)


Path skyline query is a fundamental problem in bicriteria network analysis and is widely applied in a variety of applications. Given a source s and a destination t in a bicriteria network G, path skyline query aims to identify all the skyline paths from s to t in G. In the literature, \(\mathsf {PSQ}\) is a fundamental algorithm for path skyline query and is also used as a building block for the afterwards proposed algorithms. In \(\mathsf {PSQ}\), a key operation is to record the skyline paths from s to v for each node v that is possible on the skyline paths from s to t. However, to obtain the skyline paths for v, \(\mathsf {PSQ}\) has to maintain other paths that are not skyline paths for v, which makes \(\mathsf {PSQ}\) inefficient. Motivated by this, in this paper, we propose a new algorithm \(\mathsf {PSQ^+}\) for the path skyline query. By adopting an ordered path exploring strategy, our algorithm can totally avoid the fruitless path maintenance problem in \(\mathsf {PSQ}\). We evaluate our proposed algorithm on real networks and the experimental results demonstrate the efficiency of our proposed algorithm. Besides, the experimental results also demonstrate the algorithm that uses \(\mathsf {PSQ}\) as a building block for the path skyline query can achieve a significant performance improvement after we substitute \(\mathsf {PSQ^+}\) for \(\mathsf {PSQ}\).



Long Yuan is supported by Huawei YBN2017100007. Fan Zhang is supported by Huawei YBN2017100007. Lu Qin is supported by ARC DP160101513. Xuemin Lin is supported by NSFC 61672235, ARC DP170101628, DP180103096 and Huawei YBN2017100007.


  1. 1.
    Brumbaugh-Smith, J., Shier, D.: An empirical investigation of some bicriterion shortest path algorithms. Eur. J. Oper. Res. 43(2), 216–224 (1989)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Clímaco, J.C., Pascoal, M.: Multicriteria path and tree problems: discussion on exact algorithms and applications. Int. Trans. Oper. Res. 19(1–2), 63–98 (2012)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Climaco, J.C.N., Martins, E.Q.V.: A bicriterion shortest path algorithm. Eur. J. Oper. Res. 11(4), 399–404 (1982)MathSciNetCrossRefGoogle Scholar
  4. 4.
    Delling, D., Wagner, D.: Pareto paths with SHARC. In: Proceedings of the SEA, pp. 125–136 (2009)CrossRefGoogle Scholar
  5. 5.
    Ehrgott, M., Gandibleux, X.: A survey and annotated bibliography of multiobjective combinatorial optimization. OR Spectr. 22(4), 425–460 (2000)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Gabrel, V., Vanderpooten, D.: Enumeration and interactive selection of efficient paths in a multiple criteria graph for scheduling an earth observing satellite. Eur. J. Oper. Res. 139(3), 533–542 (2002)CrossRefGoogle Scholar
  7. 7.
    Garroppo, R.G., Giordano, S., Tavanti, L.: A survey on multi-constrained optimal path computation: exact and approximate algorithms. Comput. Netw. 54(17), 3081–3107 (2010)CrossRefGoogle Scholar
  8. 8.
    Hansen, P.: Bicriterion path problems. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making Theory and Application, pp. 109–127. Springer, Berlin (1980). Scholar
  9. 9.
    Jang, S., Yoo, J.: Processing continuous skyline queries in road networks. In: Computer Science and Its Applications, pp. 353–356 (2008)Google Scholar
  10. 10.
    Kriegel, H.-P., Renz, M., Schubert, M.: Route skyline queries: a multi-preference path planning approach. In: Proceedings of the ICDE, pp. 261–272 (2010)Google Scholar
  11. 11.
    Martins, E.Q.V.: On a multicriteria shortest path problem. Eur. J. Oper. Res. 16(2), 236–245 (1984)MathSciNetCrossRefGoogle Scholar
  12. 12.
    Mote, J., Murthy, I., Olson, D.L.: A parametric approach to solving bicriterion shortest path problems. Eur. J. Oper. Res. 53(1), 81–92 (1991)CrossRefGoogle Scholar
  13. 13.
    Mouratidis, K., Lin, Y., Yiu, M.L.: Preference queries in large multi-cost transportation networks. In: Proceedings of the ICDE, pp. 533–544 (2010)Google Scholar
  14. 14.
    Müller-Hannemann, M., Weihe, K.: On the cardinality of the Pareto set in bicriteria shortest path problems. Ann. Oper. Res. 147(1), 269–286 (2006)MathSciNetCrossRefGoogle Scholar
  15. 15.
    Raith, A., Ehrgott, M.: A comparison of solution strategies for biobjective shortest path problems. Comput. Oper. Res. 36(4), 1299–1331 (2009)MathSciNetCrossRefGoogle Scholar
  16. 16.
    Sacharidis, D., Bouros, P., Chondrogiannis, T.: Finding the most preferred path. In: Proceedings of the SIGSPATIAL (2017)Google Scholar
  17. 17.
    Serafini, P.: Some considerations about computational complexity for multi objective combinatorial problems. In: Jahn, J., Krabs, W. (eds.) Recent Advances and Historical Development of Vector Optimization, pp. 222–232. Springer, Berlin (1987). Scholar
  18. 18.
    Shekelyan, M., Jossé, G., Schubert, M.: Linear path skylines in multicriteria networks. In: Proceedings of the ICDE, pp. 459–470 (2015)Google Scholar
  19. 19.
    Skriver, A.J.: A classification of bicriterion shortest path (BSP) algorithms. Asia-Pac. J. Oper. Res. 17(2), 199 (2000)MathSciNetzbMATHGoogle Scholar
  20. 20.
    Skriver, A.J., Andersen, K.A.: A label correcting approach for solving bicriterion shortest-path problems. Comput. Oper. Res. 27(6), 507–524 (2000)MathSciNetCrossRefGoogle Scholar
  21. 21.
    Storandt, S.: Route planning for bicycles-exact constrained shortest paths made practical via contraction hierarchy. In: ICAPS, vol. 4, p. 46 (2012)Google Scholar
  22. 22.
    Tarapata, Z.: Selected multicriteria shortest path problems: an analysis of complexity, models and adaptation of standard algorithms. Int. J. Appl. Math. Comput. Sci. 17(2), 269–287 (2007)MathSciNetCrossRefGoogle Scholar
  23. 23.
    Ulungu, E., Teghem, J., Fortemps, P., Tuyttens, D.: MOSA method: a tool for solving multiobjective combinatorial optimization problems. J. Multicriteria Decis. Anal. 8(4), 221 (1999)CrossRefGoogle Scholar
  24. 24.
    Yang, B., Guo, C., Jensen, C.S., Kaul, M., Shang, S.: Multi-cost optimal route planning under time-varying uncertainty. In: Proceedings of the ICDE (2014)Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Dian Ouyang
    • 1
  • Long Yuan
    • 2
  • Fan Zhang
    • 2
  • Lu Qin
    • 1
  • Xuemin Lin
    • 2
  1. 1.Centre for Artificial IntelligenceUniversity of Technology SydneySydneyAustralia
  2. 2.The University of New South WalesSydneyAustralia

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