Skip to main content

Variable Neighbourhood Descent with Memory: A Hybrid Metaheuristic for Supermarket Resupply

  • Conference paper
  • First Online:
Hybrid Metaheuristics (HM 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9668))

Included in the following conference series:

  • 602 Accesses

Abstract

Supermarket supply chains represent an area in which optimisation of vehicle routes and scheduling can lead to huge cost and environmental savings. As just-in-time ordering practices become more common, traditionally fixed resupply routes and schedules are increasingly unable to meet the demands of the supermarkets. Instead, we model this as a dynamic pickup and delivery problem with soft time windows (PDPSTW). We present the variable neighbourhood descent with memory (VNDM) hybrid metaheuristic (HM) and compare its performance against Q-learning (QL), binary exponential back off (BEBO) and random descent (RD) hyperheuristics on published benchmark and real-world instances of the PDPSTW. We find that VNDM consistently generates the highest quality solutions, with the fewest routes or shortest distances, amongst the methods tested. It is capable of finding the best known solutions to 55 of 176 published benchmarks as well as producing the best results on our real-world data set, supplied by Transfaction Ltd.

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

Access this chapter

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

Institutional subscriptions

Notes

  1. 1.

    Full results are available at www.cs.york.ac.uk/~philm.

References

  1. Belhaiza, S., Hansen, P., Laporte, G.: A hybrid variable neighborhood tabu search heuristic for the vehicle routing problem with multiple time windows. Comput. Oper. Res. 52(part B), 269–281 (2013)

    Google Scholar 

  2. Bent, R., Van Hentenryck, P.: A two-stage hybrid algorithm for pickup and delivery vehicle routing problems with time windows. In: Rossi, F. (ed.) CP 2003. LNCS, vol. 2833, pp. 123–137. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  3. Blocho, M.: A parallel algorithm for minimizing the fleet size in the pickup and delivery problem with time windows. In: Proceedings of the 22nd European MPI Users’ Group Meeting, pp. 20–21. ACM (2015)

    Google Scholar 

  4. Blum, C., Puchinger, J., Raidl, G.R., Roli, A.: Hybrid metaheuristics in combinatorial optimization: a survey. Appl. Soft Comput. 11(6), 4135–4151 (2011)

    Article  MATH  Google Scholar 

  5. Bräysy, O.: A reactive variable neighborhood search for the vehicle-routing problem with time windows. INFORMS J. Comput. 15(4), 347–368 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  6. Carić, T., Fosin, J., Galić, A., Gold, H., Reinholz, A.: Empirical analysis of two different metaheuristics for real-world vehicle routing problems. In: Bartz-Beielstein, T., Blesa Aguilera, M.J., Blum, C., Naujoks, B., Roli, A., Rudolph, G., Sampels, M. (eds.) HCI/ICCV 2007. LNCS, vol. 4771, pp. 31–44. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  7. Cherkesly, M., Desaulniers, G., Laporte, G.: Branch-price-and-cut algorithns for the pickup and delivery problem with time windows and LIFO loading. Comput. Oper. Res. 62(1), 23–35 (2015)

    Article  MathSciNet  Google Scholar 

  8. Cordeau, J.F., Laporte, G.: A tabu search heuristic for the static multi-vehicle dial-a-ride problem. Transp. Res. Part B Methodol. 37, 579–594 (2003)

    Article  Google Scholar 

  9. Cowling, P.I., Kendall, G., Soubeiga, E.: A hyperheuristic approach to scheduling a sales summit. In: Burke, E., Erben, W. (eds.) PATAT 2000. LNCS, vol. 2079, pp. 176–190. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  10. Desaulniers, G., Desrosiers, J., Solomon, M.M., Erdmann, A., Soumis, F.: VRP with pickup and delivery. In: Toth, P., Vigo, D. (eds.) The Vehicle Routing Problem, pp. 225–242. SIAM, Philadelphia (2002)

    Chapter  Google Scholar 

  11. Dorer, K., Calisti, M.: An adaptive approach to dynamic transport optimization. In: Klugl, F., Bazzan, A., Ossowski, S. (eds.) Applications of Agent Technology in Traffic and Transportation. Whitestein Series in Software Agent Technologies, pp. 33–49. Birkhäuser, Basel (2005)

    Chapter  Google Scholar 

  12. Dumas, Y., Desrosiers, J., Soumis, F.: The pickup and delivery problem with time windows. Eur. J. Oper. Res. 54(1), 7–22 (1991)

    Article  MATH  Google Scholar 

  13. Gendreau, M., Hertz, A., Laporte, G.: New insertion and post optimization procedures for the traveling salesman problem. Oper. Res. 40(6), 1086–1095 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  14. Gschwind, T., Irnich, S., Mainz, D.: Effective Handling of Dynamic Time Windows and Synchronization with Precedences for Exact Vehicle Routing. Technical report, Johannes Gutenberg University Mainz, Mainz, Germany. Retrieved from (2012). http://logistik.bwl.uni-mainz.de/

  15. Hasle, G., Lie, K.A., Quak, E.: Geometric Modelling, Numerical Simuation, and Optimization. Applied Mathematics at SINTEF, vol. 54. Springer, Heidelberg (2007)

    Book  MATH  Google Scholar 

  16. Hosny, M.I.: Investigating Heuristic and Meta-Heuristic Algorithms for Solving Pickup and Delivery Problems Manar Ibrahim Hosny School of Computer Science & Informatics. Ph.D. thesis, Cardiff University (2010)

    Google Scholar 

  17. Koning, D.: Using Column Generation for the Pickup and Delivery Problem with Disturbances. Masters thesis, Universiteit Utrecht (2011)

    Google Scholar 

  18. Laporte, G.: Fifty years of vehicle routing. Transp. Sci. 43(4), 408–416 (2009)

    Article  MathSciNet  Google Scholar 

  19. Li, H., Lim, A.: A metaheuristic for the pickup and delivery problem with time windows. In: Tools with Artificial Intelligence, pp. 160–167. IEEE (2001)

    Google Scholar 

  20. Ostertag, A., Doerner, K.F., Hartl, R.F.: A variable neighborhood search integrated in the POPMUSIC framework for solving large scale vehicle routing problems. In: Blesa, M.J., Blum, C., Cotta, C., Fernández, A.J., Gallardo, J.E., Roli, A., Sampels, M. (eds.) HM 2008. LNCS, vol. 5296, pp. 29–42. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  21. Paraskevopoulos, D.C., Repoussis, P.P., Tarantilis, C.D., Ioannou, G., Prastacos, G.P.: A reactive variable neighborhood tabu search for the heterogeneous fleet vehicle routing problem with time windows. J. Heuristics 14(5), 425–455 (2008)

    Article  MATH  Google Scholar 

  22. Parragh, S.N., Doerner, K.F., Hartl, R.F.: Variable neighborhood search for the dial-a-ride problem. Comput. Oper. Res. 37(6), 1129–1138 (2009)

    Article  MATH  Google Scholar 

  23. Pirkwieser, S., Raidl, G.R.: Multiple variable neighborhood search enriched with ILP techniques for the periodic vehicle routing problem with time windows. In: Blesa, M.J., Blum, C., Di Gaspero, L., Roli, A., Sampels, M., Schaerf, A. (eds.) HM 2009. LNCS, vol. 5818, pp. 45–59. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  24. Quintiq: PDPTW World Records (2015). http://www.quintiq.com/optimization/pdptw-world-records.html

  25. Remde, S., Cowling, P.I., Dahal, K., Colledge, N., Selensky, E.: An empirical study of hyperheuristics for managing very large sets of low level heuristics. J. Oper. Res. Soc. 63(3), 392–405 (2011)

    Article  Google Scholar 

  26. Repoussis, P.P., Paraskevopoulos, D.C., Tarantilis, C.D., Ioannou, G.: A reactive greedy randomized variable neighborhood tabu search for the vehicle routing problem with time windows. In: Almeida, F., Blesa Aguilera, M.J., Blum, C., Moreno Vega, J.M., Pérez Pérez, M., Roli, A., Sampels, M. (eds.) HM 2006. LNCS, vol. 4030, pp. 124–138. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  27. Ropke, S., Pisinger, D.: An adaptive large neighborhood search heuristic for the pickup and delivery problem with time windows. Transp. Sci. 40(4), 455–472 (2005)

    Article  Google Scholar 

  28. Savelsbergh, M.W.P.: The vehicle routing problem with time windows: minimizing route duration. INFORMS J. Comput. 4(2), 146–154 (1992)

    Article  MATH  Google Scholar 

  29. Statistica: Number of stores of leading grocery retailers in the United Kingdom (UK) as of (2013). http://www.statista.com/statistics/299155/number-of-stores-of-grocery-retailers-supermarkets-united-kingdom-uk/

  30. TetraSoft, A.: MapBooking Algoritm for Pickup and Delivery Solutions with Time Windows and Capacity restraints. (2003). http://www.tetrasoft.dk/english-info/

  31. Toth, P., Vigo, D.: Heuristic algorithms for the handicapped persons transportation problem. Transp. Sci. 31(1), 60–71 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  32. Watkins, C.J.C.H., Dayan, P.: Q-learning. Mach. Learn. 8(3–4), 279–292 (1992)

    MATH  Google Scholar 

  33. Xu, H., Chen, Z.L., Rajagopal, S., Arunapuram, S.: Solving a practical pickup and delivery problem. Transp. Sci. 37(3), 347–364 (2003)

    Article  Google Scholar 

Download references

Acknowledgements

This work has been funded by the Large Scale Complex IT Systems (LSCITS) project of the EPSRC with help from Transfaction Ltd.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Philip Mourdjis .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Mourdjis, P., Chen, Y., Polack, F., Cowling, P., Robinson, M. (2016). Variable Neighbourhood Descent with Memory: A Hybrid Metaheuristic for Supermarket Resupply. In: Blesa, M., et al. Hybrid Metaheuristics. HM 2016. Lecture Notes in Computer Science(), vol 9668. Springer, Cham. https://doi.org/10.1007/978-3-319-39636-1_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-39636-1_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-39635-4

  • Online ISBN: 978-3-319-39636-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics