Abstract
In this work the problem of selective backhauls in the transport of fresh products is investigated for the case of a large Belgian grocery retailer. Explicit measures for estimating the risk involved in certain route - vendor backhauling combinations, which emerge from the uncertainties involved in over road transport and unforeseen waiting and loading/unloading times at the depot or stores, are constructed. Two different models are proposed: an integer linear program with chance constraints, and a stochastic linear program. The chance constraints in the first model are based on the intuition and experience of the people in planning and dispatching. In the second model, the balance between risk and potential profit is directly incorporated into the objective function. For this study, the largest of all transport companies working for the studied retailer is considered for reference and data. The stochastic linear program proved to be superior. Moreover, we demonstrate that, even if only considering a small part of the fleet, the potential profits and reduction in empty kilometers due to the selected backhauls are considerable.
Similar content being viewed by others
Data Availability
Not applicable.
Notes
Throughout this work, a route will denote a certain combination of stores that are visited in a specific order.
References
Amorim P, Günther HO, Almada-Lobo B (2012) Multi-objective integrated production and distribution planning of perishable products. Int J Prod Econ 138(1):89–101
Baldacci R, Bartolini E, Laporte G (2010) Some applications of the generalized vehicle routing problem. J Oper Res Soc 61(7):1072–1077
Birge JR, Louveaux F (2011) Introduction to stochastic programming. Springer Science & Business Media
Braekers K, Ramaekers K, Van Nieuwenhuyse I (2016) The vehicle routing problem: State of the art classification and review. Comput Ind Eng 99:300–313
Coelho IM, Munhoz PLA, Haddad MN et al (2012) A hybrid heuristic based on general variable neighborhood search for the single vehicle routing problem with deliveries and selective pickups. Electron Notes Discrete Math 39:99–106
Eurostat (2021) A fifth of road freight kilometres by empty vehicles. https://ec.europa.eu/eurostat/web/products-eurostat-news/-/ddn-20211210-1
Gribkovskaia I, Laporte G, Shyshou A (2008) The single vehicle routing problem with deliveries and selective pickups. Comput Oper Res 35(9):2908–2924
Gurobi Optimization, LLC (2022) Gurobi Optimizer Reference Manual. https://www.gurobi.com
Jun Y, Kim BI (2012) New best solutions to vrpspd benchmark problems by a perturbation based algorithm. Expert Syst Appl 39(5):5641–5648
Li P, Arellano-Garcia H, Wozny G (2008) Chance constrained programming approach to process optimization under uncertainty. Comput Chem Eng 32(1–2):25–45
Marques A, Soares R, Santos MJ et al (2020) Integrated planning of inbound and outbound logistics with a rich vehicle routing problem with backhauls. Omega 92:102172
Min H (1989) The multiple vehicle routing problem with simultaneous delivery and pick-up points. Transportation Research Part A: General 23(5):377–386
Oyola J, Arntzen H, Woodruff DL (2017) The stochastic vehicle routing problem, a literature review, part ii: solution methods. EURO J Transp Logist 6(4):349–388
Oyola J, Arntzen H, Woodruff DL (2018) The stochastic vehicle routing problem, a literature review, part i: models. EURO J Transp Logist 7(3):193–221
Pradenas L, Oportus B, Parada V (2013) Mitigation of greenhouse gas emissions in vehicle routing problems with backhauling. Expert Syst Appl 40(8):2985–2991
Privé J, Renaud J, Boctor F et al (2006) Solving a vehicle-routing problem arising in soft-drink distribution. J Oper Res Soc 57(9):1045–1052
Santos MJ, Curcio E, Mulati MH et al (2020) A robust optimization approach for the vehicle routing problem with selective backhauls. Transp Res E Logist Transp Rev 136:101888
Silverman B (1986) Density estimator for statistics and data analysis. Statistics and Applied Probability
Sungur I, Ordónez F, Dessouky M (2008) A robust optimization approach for the capacitated vehicle routing problem with demand uncertainty. IIE Trans 40(5):509–523
Toth P, Vigo D (2002) Vrp with backhauls. In: The vehicle routing problem. SIAM, p 195–224
Yano CA, Chan TJ, Richter LK et al (1987) Vehicle routing at quality stores. Interfaces 17(2):52–63
Yu CS, Li HL (2000) A robust optimization model for stochastic logistic problems. Int J Prod Econ 64(1–3):385–397
Zhang D, Li D, Sun H et al (2021) A vehicle routing problem with distribution uncertainty in deadlines. Eur J Oper Res 292(1):311–326
Zhang J, Lam WH, Chen BY (2013) A stochastic vehicle routing problem with travel time uncertainty: trade-off between cost and customer service. Netw Spat Econ 13(4):471–496
Funding
This research is funded by the imec ICON project AI4FoodLogistics and is co-financed by imec and receives financial support from Flanders Innovation & Entrepreneurship (project nr. HBC.2020.3097) and the UGent grant BOF/STA/202009/039.
Author information
Authors and Affiliations
Contributions
K. Stoop worked on the mathematical model, methodology, experiments, and the manuscript. M. Pickavet, D. Colle and P. Audenaert gave feedback on the used methods and formulations, and reviewed the manuscript.
Corresponding author
Ethics declarations
Ethical Approval
Not applicable.
Conflict of Interest
The authors have no competing interests to declare that are relevant to the content of this article.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Stoop, K., Pickavet, M., Colle, D. et al. Selective Backhauls in Truck Transport with Risk Mitigation: Large Belgian Retailer Case Study. Netw Spat Econ 24, 99–130 (2024). https://doi.org/10.1007/s11067-023-09611-1
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11067-023-09611-1