Skip to main content

The Machine Learning and Traveling Repairman Problem

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6992))

Abstract

The goal of the Machine Learning and Traveling Repairman Problem (ML&TRP) is to determine a route for a “repair crew,” which repairs nodes on a graph. The repair crew aims to minimize the cost of failures at the nodes, but the failure probabilities are not known and must be estimated. If there is uncertainty in the failure probability estimates, we take this uncertainty into account in an unusual way; from the set of acceptable models, we choose the model that has the lowest cost of applying it to the subsequent routing task. In a sense, this procedure agrees with a managerial goal, which is to show that the data can support choosing a low-cost solution.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Picard, J.-C., Queyranne, M.: The time-dependent traveling salesman problem and its application to the tardiness problem in one-machine scheduling. Operations Research 26(1), 86–110 (1978)

    Article  MathSciNet  Google Scholar 

  2. Chapelle, O., Schölkopf, B., Zien, A. (eds.): Semi-Supervised Learning. MIT Press, Cambridge (2006)

    Google Scholar 

  3. Agarwal, S.: Ranking on graph data. In: Proceedings of the 23rd International Conference on Machine Learning (2006)

    Google Scholar 

  4. Belkin, M., Niyogi, P., Sindhwani, V.: Manifold regularization: A geometric framework for learning from labeled and unlabeled examples. Journal of Machine Learning Research 7, 2399–2434 (2006)

    MathSciNet  MATH  Google Scholar 

  5. Zhou, D., Weston, J., Gretton, A., Bousquet, O., Schölkopf, B.: Ranking on data manifolds. In: Advances in Neural Information Processing Systems, vol. 16, pp. 169–176. MIT Press, Cambridge (2004)

    Google Scholar 

  6. Fischetti, M., Laporte, G., Martello, S.: The delivery man problem and cumulative matroids. Oper. Res. 41, 1055–1064 (1993)

    Article  MathSciNet  Google Scholar 

  7. van Eijl, C.A.: A polyhedral approach to the delivery man problem. Memorandum COSOR 95–19, Department of Mathematics and Computer Science, Eindhoven University of Technology, The Netherlands (1995)

    Google Scholar 

  8. Lechmann, M.: The traveling repairman problem - an overview, pp. 1–79, Diplomarbeit, Universitat Wein (2009)

    Google Scholar 

  9. Urbina, I.: Mandatory safety rules are proposed for electric utilities. New York Times. Late Edition, Sec B, Col 3, Metropolitan Desk, p. 2 (08-21-2004)

    Google Scholar 

  10. Rudin, C., Passonneau, R., Radeva, A., Dutta, H., Ierome, S., Isaac, D.: A process for predicting manhole events in Manhattan. Machine Learning 80, 1–31 (2010)

    Article  MathSciNet  Google Scholar 

  11. Tulabandhula, T., Rudin, C., Jaillet, P.: Machine Learning and the Traveling Repairman. arXiv:1104.5061 (2011)

    Google Scholar 

  12. Blum, A., Chalasani, P., Coppersmith, D., Pulleyblank, B., Raghavan, P., Sudan, M.: On the minimum latency problem. In: Proceedings of the 26th ACM Symposium on Theory of Computing, pp. 163–171 (September 1994)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Tulabandhula, T., Rudin, C., Jaillet, P. (2011). The Machine Learning and Traveling Repairman Problem. In: Brafman, R.I., Roberts, F.S., Tsoukiàs, A. (eds) Algorithmic Decision Theory. ADT 2011. Lecture Notes in Computer Science(), vol 6992. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24873-3_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24873-3_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24872-6

  • Online ISBN: 978-3-642-24873-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics