Skip to main content

Hybrid Best-First Greedy Search for Orienteering with Category Constraints

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 10411))

Abstract

We develop an approach for solving rooted orienteering problems with category constraints as found in tourist trip planning and logistics. It is based on expanding partial solutions in a systematic way, prioritizing promising ones, which reduces the search space we have to traverse during the search. The category constraints help in reducing the space we have to explore even further. We implement an algorithm that computes the optimal solution and also illustrate how our approach can be turned into an anytime approximation algorithm, yielding much faster run times and guaranteeing lower bounds on the quality of the solution found. We demonstrate the effectiveness of our algorithms by comparing them to the state-of-the-art approach and an optimal algorithm based on dynamic programming, showing that our technique clearly outperforms these methods.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Notes

  1. 1.

    The icons are from icons8.com, used under Creative Commons License CC BY-ND 3.0. To view a copy, visit https://creativecommons.org/licenses/by-nd/3.0/.

  2. 2.

    Due to the cut ratio, we did not run this experiment for the real-world data sets, as it would have taken too much time.

References

  1. Blum, A., Chawla, S., Karger, D.R., Lane, T., Meyerson, A., Minkoff, M.: Approximation algorithms for orienteering and discounted-reward TSP. SIAM J. Comput. 37(2), 653–670 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bolzoni, P., Helmer, S., Wellenzohn, K., Gamper, J., Andritsos, P.: Efficient itinerary planning with category constraints. In: SIGSPATIAL/GIS 2014, Dallas, Texas, pp. 203–212 (2014)

    Google Scholar 

  3. Chekuri, C., Korula, N., Pál, M.: Improved algorithms for orienteering and related problems. In: SODA 2008, pp. 661–670 (2008)

    Google Scholar 

  4. Chekuri, C., Pál, M.: A recursive greedy algorithm for walks in directed graphs. In: FOCS 2005, pp. 245–253 (2005)

    Google Scholar 

  5. Gavalas, D., Konstantopoulos, C., Mastakas, K., Pantziou, G.: A survey on algorithmic approaches for solving tourist trip design problems. J. Heuristics 20(3), 291–328 (2014)

    Article  Google Scholar 

  6. Gendreau, M., Laporte, G., Semet, F.: A branch-and-cut algorithm for the undirected selective traveling salesman problem. Networks 32(4), 263–273 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  7. Keller, C.: Algorithms to solve the orienteering problem: a comparison. Eur. J. OR 41, 224–231 (1989)

    MATH  Google Scholar 

  8. Liang, Y.-C., Kulturel-Konak, S., Smith, A.: Meta heuristics for the orienteering problem. In: CEC 2002, pp. 384–389 (2002)

    Google Scholar 

  9. Lu, E.H.-C., Lin, C.-Y., Tseng, V.S.: Trip-mine: an efficient trip planning approach with travel time constraints. In: MDM 2011, pp. 152–161 (2011)

    Google Scholar 

  10. Ramesh, R., Yoon, Y.-S., Karwan, M.H.: An optimal algorithm for the orienteering tour problem. Inf. J. Comput. 4(2), 155–165 (1992)

    Article  MATH  Google Scholar 

  11. Rice, M.N., Tsotras, V.J.: Parameterized algorithms for generalized traveling salesman problems in road networks. In: SIGSPATIAL/GIS 2013, Orlando, Florida, pp. 114–123 (2013)

    Google Scholar 

  12. Righini, G., Salani, M.: Decremental state space relaxation strategies and initialization heuristics for solving the orienteering problem with time windows with dynamic programming. Comput. OR 36(4), 1191–1203 (2009)

    Article  MATH  Google Scholar 

  13. Sevkli, Z., Sevilgen, F.E.: Variable neighborhood search for the orienteering problem. In: Levi, A., Savaş, E., Yenigün, H., Balcısoy, S., Saygın, Y. (eds.) ISCIS 2006. LNCS, vol. 4263, pp. 134–143. Springer, Heidelberg (2006). doi:10.1007/11902140_16

    Chapter  Google Scholar 

  14. Singh, A., Krause, A., Guestrin, C., Kaiser, W.J., Batalin, M.A.: Efficient planning of informative paths for multiple robots. In: IJCAI 2007, pp. 2204–2211 (2007)

    Google Scholar 

  15. Tasgetiren, F., Smith, A.: A genetic algorithm for the orienteering problem. In: IEEE Congress on Evolutionary Computation (2000)

    Google Scholar 

  16. Tsiligrides, T.A.: Heuristic methods applied to orienteering. J. Oper. Res. Soc. 35(9), 797–809 (1984)

    Article  Google Scholar 

  17. Wang, Q., Sun, X., Golden, B.L., Jia, J.: Using artificial neural networks to solve the orienteering problem. Ann. OR 61, 111–120 (1995)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sven Helmer .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Bolzoni, P., Helmer, S. (2017). Hybrid Best-First Greedy Search for Orienteering with Category Constraints. In: Gertz, M., et al. Advances in Spatial and Temporal Databases. SSTD 2017. Lecture Notes in Computer Science(), vol 10411. Springer, Cham. https://doi.org/10.1007/978-3-319-64367-0_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-64367-0_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-64366-3

  • Online ISBN: 978-3-319-64367-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics