HYBRID COLUMN GENERATION-BASED APPROACH FOR VRP WITH SIMULTANEOUS DISTRIBUTION, COLLECTION, PICKUP-AND-DELIVERY AND REAL-WORLD SIDE CONSTRAINTS

Lorenzo Ruinelli, Matteo Salani, Luca Maria Gambardella

Abstract

We present an optimization algorithm that hybridizes heuristic and exact methods to solve the problem of a real-world distribution company. Our algorithm combines three existing optimization techniques (Ant Colony Optimization, Column Generation and Mixed Integer Programming). Standard Column Generation is improved with an incremental search technique able to speed up the entire process. We present computational results on 14 real-world instances obtained from our industrial partner. Finally, we compare the solutions obtained by our algorithm against those currently computed by the route planning office of our industrial partner. Beside cost savings, we asses the reliability of our approach in terms of computational time and quality.

References

  1. Archetti, C., Savelsbergh, M. W. P., and Speranza, M. G. (2006). Worst-case analysis for split delivery vehicle routing problems. Transportation Science, 40:226- 234.
  2. Archetti, C., Speranza, M., and Savelsbergh, M. (2008). An optimization-based heuristic for the split delivery vehicle routing problem. Transportation Science, 42(1):22-31.
  3. Baldacci, R., Christofides, N., and Mingozzi, A. (2008). An exact algorithm for the vehicle routing problem based on the set partitioning formulation with additional cuts. Mathematical Programming, 115:351- 385.
  4. Ceselli, A., Righini, G., and Salani, M. (2009). A column generation algorithm for a vehicle routing problem with economies of scale and additional constraints.
  5. Transportation Science, 43(1):56-69.
  6. Desaulniers, G. (2010). Branch-and-price-and-cut for the split-delivery vehicle routing problem with time windows. Operations Research, 58:179-192.
  7. Desrosiers, J., Pelletier, P., and Soumis, F. (1981). Plus court chemin avec contraintes d'horaires. Montréal: Université de Montréal, Centre de recherche sur les transports.
  8. Doerner, K. and Schmid, V. (2010). Survey: Matheuristics for rich vehicle routing problems. In Blesa, M., Blum, C., Raidl, G., Roli, A., and Sampels, M., editors, Hybrid Metaheuristics, volume 6373 of Lecture Notes in Computer Science, pages 206-221. Springer Berlin / Heidelberg.
  9. Dror, M. (1994). Note on the complexity of the shortest path models for column generation in vrptw. Operations Research, 42(5):977-978.
  10. Gambardella, L. M., Taillard, E., and Agazzi, G. (1999). Macs-vrptw: a multiple ant colony system for vehicle routing problems with time windows. In New ideas in optimization, pages 63-76. McGraw-Hill Ltd., UK, Maidenhead, UK, England.
  11. Golden, B., Raghavan, S., and Wasil, E. A. (2008). The vehicle routing problem : latest advances and new challenges. Operations research/Computer science interfaces series, 43. Springer.
  12. Nowak, M., Ergun, O., and White III, C. C. (2009). An empirical study on the benefit of split loads with the pickup and delivery problem. European Journal of Operational Research, 198(3):734-740.
  13. Righini, G. and Salani, M. (2006). Symmetry helps: Bounded bi-directional dynamic programming for the elementary shortest path problem with resource constraints. Discrete Optimization, 3(3):255-273.
  14. Righini, G. and Salani, M. (2008). New dynamic programming algorithms for the resource constrained elementary shortest path problem. Netw., 51:155-170.
  15. Rizzoli, A., Montemanni, R., Lucibello, E., and Gambardella, L. (2007). Ant colony optimization for realworld vehicle routing problems. Swarm Intelligence, 1(2):135-151.
  16. Ruinelli, L. (2011). Column generation for a rich vrp. Master's thesis, Department of Innovative Technologies, SUPSI, Manno, Scuola universitaria professionale della Svizzera italiana, Galleria 2, CH-6928 Manno.
  17. Salani, M. and Vacca, I. (2011). Branch and price for the vehicle routing problem with discrete split deliveries and time windows. European Journal of Operational Research, 213(3):470-477.
  18. Salari, M., Toth, P., and Tramontani, A. (2010). An ilp improvement procedure for the open vehicle routing problem. Computers and Operations Research, 37(12):2106-2120.
  19. Schmid, V., Doerner, K. F., Hartl, R. F., Savelsbergh, M. W. P., and Stoecher, W. (2009). A hybrid solution approach for ready-mixed concrete delivery. Transportation Science, 43(1):70-85.
  20. Sharda, R., Vo, S., Archetti, C., and Speranza, M. G. (2008). The split delivery vehicle routing problem: A survey. In Golden, B., Raghavan, S., and Wasil, E., editors, The Vehicle Routing Problem: Latest Advances and New Challenges, volume 43 of Operations Research/Computer Science Interfaces Series, pages 103-122. Springer US.
  21. Toth, P. and Vigo, D. (2002). The vehicle routing problem. SIAM monographs on discrete mathematics and applications. Society for Industrial and Applied Mathematics.
  22. Wolsey, L. (1998). Integer programming. WileyInterscience series in discrete mathematics and optimization. Wiley, New York, NY, USA.
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Paper Citation


in Harvard Style

Ruinelli L., Salani M. and Maria Gambardella L. (2012). HYBRID COLUMN GENERATION-BASED APPROACH FOR VRP WITH SIMULTANEOUS DISTRIBUTION, COLLECTION, PICKUP-AND-DELIVERY AND REAL-WORLD SIDE CONSTRAINTS . In Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES, ISBN 978-989-8425-97-3, pages 247-255. DOI: 10.5220/0003713702470255


in Bibtex Style

@conference{icores12,
author={Lorenzo Ruinelli and Matteo Salani and Luca Maria Gambardella},
title={HYBRID COLUMN GENERATION-BASED APPROACH FOR VRP WITH SIMULTANEOUS DISTRIBUTION, COLLECTION, PICKUP-AND-DELIVERY AND REAL-WORLD SIDE CONSTRAINTS},
booktitle={Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,},
year={2012},
pages={247-255},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003713702470255},
isbn={978-989-8425-97-3},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 1st International Conference on Operations Research and Enterprise Systems - Volume 1: ICORES,
TI - HYBRID COLUMN GENERATION-BASED APPROACH FOR VRP WITH SIMULTANEOUS DISTRIBUTION, COLLECTION, PICKUP-AND-DELIVERY AND REAL-WORLD SIDE CONSTRAINTS
SN - 978-989-8425-97-3
AU - Ruinelli L.
AU - Salani M.
AU - Maria Gambardella L.
PY - 2012
SP - 247
EP - 255
DO - 10.5220/0003713702470255