Skip to main content
Springer Nature Link
Log in

Tree-Deletion Pruning in Label-Correcting Algorithms for the Multiobjective Shortest Path Problem

  • Conference paper
  • First Online:
WALCOM: Algorithms and Computation (WALCOM 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10167))

Included in the following conference series:

  • 851 Accesses

Abstract

In this paper, we consider algorithms for multi-objective shortest-path (MOSP) optimization in spatial decision making. We re-evaluate the basic strategies for label-correcting algorithms for the MOSP problem, i.e., node and label selection. In contrast to common believe, we show that—when carefully implemented—the node-selection strategy usually beats the label-selection strategy. Moreover, we present a new pruning method which is easy to implement and performs very well on real-world road networks. In this study, we test our hypotheses on artificial MOSP instances from the literature with up to 15 objectives and real-world road networks with up to almost 160,000 nodes. We also evaluate these algorithms on the problem of finding good power grid lines.

F. Bökler—The author has been supported by the Bundesministerium für Wirtschaft und Energie (BMWi) within the research project “Bewertung und Planung von Stromnetzen” (promotional reference 03ET7505) and by DFG GRK 1855 (DOTS).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

Notes

  1. 1.

    http://www.amprion.de/.

  2. 2.

    http://ogdf.net/.

References

  1. Bachmann, D., Bökler, F., Dokter, M., Kopec, J., Schwarze, B., Weichert, F.: Transparente Identifizierung und Bewertung von Höchstspannungstrassen mittels mehrkriterieller Optimierung. Energiewirtschaftliche Tagesfragen (2015)

    Google Scholar 

  2. Bertsekas, D.P., Guerriero, F., Musmanno, R.: Parallel asynchronous label-correcting methods for shortest paths. J. Optim. Theory Appl. 88(2), 297–320 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  3. Bökler, F., Ehrgott, M., Morris, C., Mutzel, P.: Output-sensitive complexity of multiobjective combinatorial optimization. J. Multi-Criteria Decis. Anal. (2017, to appear)

    Google Scholar 

  4. Brumbaugh-Smith, J., Shier, D.: An empirical investigation of some bicriterion shortest path algorithms. Eur. J. Oper. Res. 43(2), 216–224 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  5. Cherkassky, B.V., Goldberg, A.V., Radzik, T.: Shortest paths algorithms: theory and experimental evaluation. Math. Program. 73(2), 129–174 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  6. Clímaco, J.C.N., Pascoal, M.M.B.: Multicriteria path and tree problems: discussion on exact algorithms and applications. Int. Trans. Oper. Res. 19(1–2), 63–98 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  7. Delling, D., Wagner, D.: Pareto paths with SHARC. In: Vahrenhold, J. (ed.) SEA 2009. LNCS, vol. 5526, pp. 125–136. Springer, Heidelberg (2009). doi:10.1007/978-3-642-02011-7_13

    Chapter  Google Scholar 

  8. Erb, S., Kobitzsch, M., Sanders, P.: Parallel bi-objective shortest paths using weight-balanced B-trees with bulk updates. In: Gudmundsson, J., Katajainen, J. (eds.) SEA 2014. LNCS, vol. 8504, pp. 111–122. Springer, Heidelberg (2014). doi:10.1007/978-3-319-07959-2_10

    Google Scholar 

  9. Greco, S., Ehrgott, M., Figueira, J.R. (eds.): Multiple Criteria Decision Analysis: State of the Art Surveys. International Series in Operations Research & Management Science, 2nd edn. Springer, Berlin (2016)

    MATH  Google Scholar 

  10. Guerriero, F., Musmanno, R.: Label correcting methods to solve multicriteria shortest path problems. J. Optim. Theory Appl. 111(3), 589–613 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  11. Hansen, P.: Bicriterion path problems. In: Fandel, G., Gal, T. (eds.) Multiple Criteria Decision Making Theory and Application. LNEMS, vol. 177, pp. 109–127. Springer, Heidelberg (1979). doi:10.1007/978-3-642-48782-8_9

    Chapter  Google Scholar 

  12. Martins, E.Q.V.: On a multicriteria shortest path problem. Eur. J. Oper. Res. 16, 236–245 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  13. Paixao, J., Santos, J.: Labelling methods for the general case of the multiobjective shortest path problem: a computational study. In: Madureira, A., Reis, C., Marques, V. (eds.) Computational Intelligence and Decision Making. ISCA, vol. 61, pp. 489–502. Springer, Dordrecht (2013). doi:10.1007/978-94-007-4722-7_46

    Chapter  Google Scholar 

  14. Paixao, J.M., Santos, J.L.: Labelling methods for the general case of the multi-objective shortest path problem - a computational study. Technical report 07-42, Universidade de Coimbra (2007)

    Google Scholar 

  15. Raith, A., Ehrgott, M.: A comparison of solution strategies for biobjective shortest path problems. Comput. OR 36(4), 1299–1331 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  16. Tung, C.T., Chew, K.L.: A multicriteria Pareto-optimal path algorithm. Eur. J. Oper. Res. 62, 203–209 (1992)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Computer Science, TU Dortmund, Dortmund, Germany

    Fritz Bökler & Petra Mutzel

Authors
  1. Fritz Bökler
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Petra Mutzel
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Fritz Bökler .

Editor information

Editors and Affiliations

  1. Universiti Teknologi Brunei, Bandar Seri Begawan, Brunei Darussalam

    Sheung-Hung Poon

  2. Bangladesh University of Engineering and Technology, Dhaka, Bangladesh

    Md. Saidur Rahman

  3. National Taiwan University, Taipei, Taiwan

    Hsu-Chun Yen

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Bökler, F., Mutzel, P. (2017). Tree-Deletion Pruning in Label-Correcting Algorithms for the Multiobjective Shortest Path Problem. In: Poon, SH., Rahman, M., Yen, HC. (eds) WALCOM: Algorithms and Computation. WALCOM 2017. Lecture Notes in Computer Science(), vol 10167. Springer, Cham. https://doi.org/10.1007/978-3-319-53925-6_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-53925-6_15

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-53924-9

  • Online ISBN: 978-3-319-53925-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation