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A survey of variants and extensions of the location-routing problem

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  • Drexl, Michael
  • Schneider, Michael

Abstract

This is a review of the literature on variants and extensions of the standard location-routing problem published since the last survey, by Nagy and Salhi, appeared in 2006. We propose a classification of problem variants, provide concise paper excerpts that convey the central ideas of each work, discuss recent developments in the field, and list promising topics for further research.

Suggested Citation

  • Drexl, Michael & Schneider, Michael, 2015. "A survey of variants and extensions of the location-routing problem," European Journal of Operational Research, Elsevier, vol. 241(2), pages 283-308.
  • Handle: RePEc:eee:ejores:v:241:y:2015:i:2:p:283-308
    DOI: 10.1016/j.ejor.2014.08.030
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    1. Marshall L. Fisher, 1994. "Optimal Solution of Vehicle Routing Problems Using Minimum K-Trees," Operations Research, INFORMS, vol. 42(4), pages 626-642, August.
    2. Karaoglan, Ismail & Altiparmak, Fulya & Kara, Imdat & Dengiz, Berna, 2012. "The location-routing problem with simultaneous pickup and delivery: Formulations and a heuristic approach," Omega, Elsevier, vol. 40(4), pages 465-477.
    3. K.S. Al‐Sultan & M.A. Al‐Fawzan, 1999. "A tabu search approach to the uncapacitated facility location problem," Annals of Operations Research, Springer, vol. 86(0), pages 91-103, January.
    4. Laumanns, Marco & Thiele, Lothar & Zitzler, Eckart, 2006. "An efficient, adaptive parameter variation scheme for metaheuristics based on the epsilon-constraint method," European Journal of Operational Research, Elsevier, vol. 169(3), pages 932-942, March.
    5. Guido Perboli & Ferdinando Pezzella & Roberto Tadei, 2008. "EVE-OPT: a hybrid algorithm for the capacitated vehicle routing problem," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(2), pages 361-382, October.
    6. Hashemi Doulabi, Seyed Hossein & Seifi, Abbas, 2013. "Lower and upper bounds for location-arc routing problems with vehicle capacity constraints," European Journal of Operational Research, Elsevier, vol. 224(1), pages 189-208.
    7. Aksen, Deniz & Altinkemer, Kemal, 2008. "A location-routing problem for the conversion to the "click-and-mortar" retailing: The static case," European Journal of Operational Research, Elsevier, vol. 186(2), pages 554-575, April.
    8. Salhi, Said & Rand, Graham K., 1989. "The effect of ignoring routes when locating depots," European Journal of Operational Research, Elsevier, vol. 39(2), pages 150-156, March.
    9. Roberto Baldacci & Aristide Mingozzi & Roberto Wolfler Calvo, 2011. "An Exact Method for the Capacitated Location-Routing Problem," Operations Research, INFORMS, vol. 59(5), pages 1284-1296, October.
    10. Jean-Paul Watson, 2010. "An Introduction to Fitness Landscape Analysis and Cost Models for Local Search," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 599-623, Springer.
    11. Teodor Gabriel Crainic & Nicoletta Ricciardi & Giovanni Storchi, 2009. "Models for Evaluating and Planning City Logistics Systems," Transportation Science, INFORMS, vol. 43(4), pages 432-454, November.
    12. Gillett, Billy E & Johnson, Jerry G, 1976. "Multi-terminal vehicle-dispatch algorithm," Omega, Elsevier, vol. 4(6), pages 711-718.
    13. Barreto, Sergio & Ferreira, Carlos & Paixao, Jose & Santos, Beatriz Sousa, 2007. "Using clustering analysis in a capacitated location-routing problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 968-977, June.
    14. Christos D. Tarantilis & Emmanouil E. Zachariadis & Chris T. Kiranoudis, 2008. "A Hybrid Guided Local Search for the Vehicle-Routing Problem with Intermediate Replenishment Facilities," INFORMS Journal on Computing, INFORMS, vol. 20(1), pages 154-168, February.
    15. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part I: Route Construction and Local Search Algorithms," Transportation Science, INFORMS, vol. 39(1), pages 104-118, February.
    16. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(1), pages 193-194, February.
    17. Jacobsen, S. K. & Madsen, O. B. G., 1980. "A comparative study of heuristics for a two-level routing-location problem," European Journal of Operational Research, Elsevier, vol. 5(6), pages 378-387, December.
    18. Albareda-Sambola, Maria & Fernandez, Elena & Laporte, Gilbert, 2007. "Heuristic and lower bound for a stochastic location-routing problem," European Journal of Operational Research, Elsevier, vol. 179(3), pages 940-955, June.
    19. Nadizadeh, Ali & Hosseini Nasab, Hasan, 2014. "Solving the dynamic capacitated location-routing problem with fuzzy demands by hybrid heuristic algorithm," European Journal of Operational Research, Elsevier, vol. 238(2), pages 458-470.
    20. Ahmadi-Javid, Amir & Seddighi, Amir Hossein, 2013. "A location-routing problem with disruption risk," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 53(C), pages 63-82.
    21. Mina, Hokey & Jayaraman, Vaidyanathan & Srivastava, Rajesh, 1998. "Combined location-routing problems: A synthesis and future research directions," European Journal of Operational Research, Elsevier, vol. 108(1), pages 1-15, July.
    22. Albareda-Sambola, Maria & Fernández, Elena & Nickel, Stefan, 2012. "Multiperiod Location-Routing with Decoupled Time Scales," European Journal of Operational Research, Elsevier, vol. 217(2), pages 248-258.
    23. Olli Bräysy & Michel Gendreau, 2005. "Vehicle Routing Problem with Time Windows, Part II: Metaheuristics," Transportation Science, INFORMS, vol. 39(1), pages 119-139, February.
    24. Prodhon, Caroline, 2011. "A hybrid evolutionary algorithm for the periodic location-routing problem," European Journal of Operational Research, Elsevier, vol. 210(2), pages 204-212, April.
    25. Branco, I. M. & Coelho, J. D., 1990. "The hamiltonian p-median problem," European Journal of Operational Research, Elsevier, vol. 47(1), pages 86-95, July.
    26. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(2), pages 541-545, April.
    27. Guido Perboli & Roberto Tadei & Daniele Vigo, 2011. "The Two-Echelon Capacitated Vehicle Routing Problem: Models and Math-Based Heuristics," Transportation Science, INFORMS, vol. 45(3), pages 364-380, August.
    28. Lin, C.K.Y. & Kwok, R.C.W., 2006. "Multi-objective metaheuristics for a location-routing problem with multiple use of vehicles on real data and simulated data," European Journal of Operational Research, Elsevier, vol. 175(3), pages 1833-1849, December.
    29. Ahn, Jaemyung & de Weck, Olivier & Geng, Yue & Klabjan, Diego, 2012. "Column generation based heuristics for a generalized location routing problem with profits arising in space exploration," European Journal of Operational Research, Elsevier, vol. 223(1), pages 47-59.
    30. Éric Taillard & Philippe Badeau & Michel Gendreau & François Guertin & Jean-Yves Potvin, 1997. "A Tabu Search Heuristic for the Vehicle Routing Problem with Soft Time Windows," Transportation Science, INFORMS, vol. 31(2), pages 170-186, May.
    31. Nagy, Gabor & Salhi, Said, 2007. "Location-routing: Issues, models and methods," European Journal of Operational Research, Elsevier, vol. 177(2), pages 649-672, March.
    32. Karaoglan, Ismail & Altiparmak, Fulya & Kara, Imdat & Dengiz, Berna, 2011. "A branch and cut algorithm for the location-routing problem with simultaneous pickup and delivery," European Journal of Operational Research, Elsevier, vol. 211(2), pages 318-332, June.
    33. Michael Drexl, 2012. "Synchronization in Vehicle Routing---A Survey of VRPs with Multiple Synchronization Constraints," Transportation Science, INFORMS, vol. 46(3), pages 297-316, August.
    34. Caballero, Rafael & Gonzalez, Mercedes & Guerrero, Flor M & Molina, Julian & Paralera, Concepcion, 2007. "Solving a multiobjective location routing problem with a metaheuristic based on tabu search. Application to a real case in Andalusia," European Journal of Operational Research, Elsevier, vol. 177(3), pages 1751-1763, March.
    35. Rieck, Julia & Ehrenberg, Carsten & Zimmermann, Jürgen, 2014. "Many-to-many location-routing with inter-hub transport and multi-commodity pickup-and-delivery," European Journal of Operational Research, Elsevier, vol. 236(3), pages 863-878.
    36. John Silberholz & Bruce Golden, 2010. "Comparison of Metaheuristics," International Series in Operations Research & Management Science, in: Michel Gendreau & Jean-Yves Potvin (ed.), Handbook of Metaheuristics, chapter 0, pages 625-640, Springer.
    37. T. L. Magnanti & R. T. Wong, 1981. "Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria," Operations Research, INFORMS, vol. 29(3), pages 464-484, June.
    38. Martínez-Salazar, Iris Abril & Molina, Julian & Ángel-Bello, Francisco & Gómez, Trinidad & Caballero, Rafael, 2014. "Solving a bi-objective Transportation Location Routing Problem by metaheuristic algorithms," European Journal of Operational Research, Elsevier, vol. 234(1), pages 25-36.
    39. Guerrero, W.J. & Prodhon, C. & Velasco, N. & Amaya, C.A., 2013. "Hybrid heuristic for the inventory location-routing problem with deterministic demand," International Journal of Production Economics, Elsevier, vol. 146(1), pages 359-370.
    40. Govindan, K. & Jafarian, A. & Khodaverdi, R. & Devika, K., 2014. "Two-echelon multiple-vehicle location–routing problem with time windows for optimization of sustainable supply chain network of perishable food," International Journal of Production Economics, Elsevier, vol. 152(C), pages 9-28.
    41. Christian Prins & Caroline Prodhon & Angel Ruiz & Patrick Soriano & Roberto Wolfler Calvo, 2007. "Solving the Capacitated Location-Routing Problem by a Cooperative Lagrangean Relaxation-Granular Tabu Search Heuristic," Transportation Science, INFORMS, vol. 41(4), pages 470-483, November.
    42. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(4), pages 1007-1017, August.
    43. Luca Bertazzi & Giuseppe Paletta & M. Grazia Speranza, 2002. "Deterministic Order-Up-To Level Policies in an Inventory Routing Problem," Transportation Science, INFORMS, vol. 36(1), pages 119-132, February.
    44. Skorin-Kapov, Darko & Skorin-Kapov, Jadranka & O'Kelly, Morton, 1996. "Tight linear programming relaxations of uncapacitated p-hub median problems," European Journal of Operational Research, Elsevier, vol. 94(3), pages 582-593, November.
    45. Max Shen, Zuo-Jun & Qi, Lian, 2007. "Incorporating inventory and routing costs in strategic location models," European Journal of Operational Research, Elsevier, vol. 179(2), pages 372-389, June.
    46. Caroline Prodhon, 2008. "A Metaheuristic for the Periodic Location-Routing Problem," Operations Research Proceedings, in: Jörg Kalcsics & Stefan Nickel (ed.), Operations Research Proceedings 2007, pages 159-164, Springer.
    47. Zare Mehrjerdi, Yahia & Nadizadeh, Ali, 2013. "Using greedy clustering method to solve capacitated location-routing problem with fuzzy demands," European Journal of Operational Research, Elsevier, vol. 229(1), pages 75-84.
    48. Selim Çetiner & Canan Sepil & Haldun Süral, 2010. "Hubbing and routing in postal delivery systems," Annals of Operations Research, Springer, vol. 181(1), pages 109-124, December.
    49. Prodhon, Caroline & Prins, Christian, 2014. "A survey of recent research on location-routing problems," European Journal of Operational Research, Elsevier, vol. 238(1), pages 1-17.
    50. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(6), pages 1461-1465, December.
    51. Stenger, Andreas & Schneider, Michael & Schwind, Michael & Vigo, Daniele, 2012. "Location routing for small package shippers with subcontracting options," International Journal of Production Economics, Elsevier, vol. 140(2), pages 702-712.
    52. Dondo, Rodolfo & Cerda, Jaime, 2007. "A cluster-based optimization approach for the multi-depot heterogeneous fleet vehicle routing problem with time windows," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1478-1507, February.
    53. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(5), pages 1273-1289, October.
    54. Ahmadi Javid, Amir & Azad, Nader, 2010. "Incorporating location, routing and inventory decisions in supply chain network design," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 46(5), pages 582-597, September.
    55. S Salhi & G Nagy, 1999. "A cluster insertion heuristic for single and multiple depot vehicle routing problems with backhauling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(10), pages 1034-1042, October.
    56. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(3), pages 819-821, June.
    57. Nguyen, Viet-Phuong & Prins, Christian & Prodhon, Caroline, 2012. "Solving the two-echelon location routing problem by a GRASP reinforced by a learning process and path relinking," European Journal of Operational Research, Elsevier, vol. 216(1), pages 113-126.
    58. Richard Hartl & Geir Hasle & Gerrit Janssens, 2006. "Special issue on Rich Vehicle Routing Problems," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 14(2), pages 103-104, June.
    59. J-F Cordeau & M Gendreau & G Laporte & J-Y Potvin & F Semet, 2002. "A guide to vehicle routing heuristics," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(5), pages 512-522, May.
    60. Saïd Salhi & Gábor Nagy, 2009. "Local improvement in planar facility location using vehicle routing," Annals of Operations Research, Springer, vol. 167(1), pages 287-296, March.
    61. Ravindra K. Ahuja & James B. Orlin, 1996. "Use of Representative Operation Counts in Computational Testing of Algorithms," INFORMS Journal on Computing, INFORMS, vol. 8(3), pages 318-330, August.
    62. Stenger, A. & Schneider, M. & Schwind, M. & Vigo, D., 2012. "Location Routing for Small Package Shippers with Subcontracting Options," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 62387, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    63. Ambrosino, Daniela & Grazia Scutella, Maria, 2005. "Distribution network design: New problems and related models," European Journal of Operational Research, Elsevier, vol. 165(3), pages 610-624, September.
    64. Baldacci, Roberto & Mingozzi, Aristide & Roberti, Roberto, 2012. "Recent exact algorithms for solving the vehicle routing problem under capacity and time window constraints," European Journal of Operational Research, Elsevier, vol. 218(1), pages 1-6.
    65. Tuzun, Dilek & Burke, Laura I., 1999. "A two-phase tabu search approach to the location routing problem," European Journal of Operational Research, Elsevier, vol. 116(1), pages 87-99, July.
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