Abstract
This paper tackles two variants of a Dynamic Vehicle Routing Problem with Time Windows as real-world applications of several companies in the Canary Islands, Spain. In these dynamic vehicle routing problems, customer requests can be either known at the beginning of the planning horizon or dynamically revealed over it. Particularly, the problems corresponding to a delivery company and a vending machines company are taken into consideration. In addition to the dynamism feature of these problems, the companies consider several attributes that consist of a fixed heterogeneous fleet of vehicles, multiple time windows, customers priorities and vehicle–customer constraints. This work proposes a metaheuristic procedure to solve these problems. The computational experiments indicate that the proposed method is feasible to solve these real-world problems.




Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Notes
https://sites.google.com/site/gciports/vrptw/dynamic-vrptw.
Table 2 Dynamic customers Table 3 Solution example. Insertion of dynamic requests
References
Bräysy O (2003) A reactive variable neighborhood search for the vehicle routing problem with time windows. INFORMS J Comput 15:347–368
Cassani L, Righini G (2004) Heuristic algorithms for the tsp with rear-loading. In: 35th Annual Conference of the Italian Operations Research Society (AIRO XXXV), Lecce, Italy
Chen ZL, Xu H (2006) Dynamic column generation for dynamic vehicle routing with time windows. Transp Sci 40(1):74–88
Croes GA (1958) A method for solving traveling-salesman problems. Oper Res 6(6):791–812
De Armas J, Melián-Batista B, Moreno-Pérez JA, Brito J (2013) GVNS for a real-world rich vehicle routing problem with time windows. University of La Laguna, Technical report
Fleszar K, Osman I, Hindi K (2008) A variable neighbourhood search algorithm for the open vehicle routing problem. Eur J Oper Res 195(3):803–809
Gendreau M, Potvin JY (eds) (2004) Focused section on real-time fleet management, vol 38. Transportation Science
Michel Gendreau, Alain Hertz, Gilbert Laporte (1992) New insertion and postoptimization procedures for the traveling salesman problem. Oper Res 40(6):1086–1094
Ghiani G, Guerriero F, Laporte G, Musmanno R (2003) Real-time vehicle routing: solution concepts, algorithms and parallel computing strategies. Eur J Oper Res 151:1–11
Goel A, Gruhn V (2008) A general vehicle routing problem. Eur J Oper Res 191(3):650–660
Hansen P, Mladenovic N, Moreno-Pérez JA (2010) Variable neighbourhood search: methods and applications. Ann OR 175(1):367–407
Hemmelmayr V, Doerner K, Hartl R (2009) A variable neighborhood search heuristic for periodic routing problems. Eur J Oper Res 195(3):791–802
Hong L (2012) An improved LNS algorithm for real-time vehicle routing problem with time windows. Comput Oper Res 39(2):151–163
Ichoua S, Gendreau M, Potvin J-Y (2007) In: Zeimpekis V, Tarantilis CD, Giaglis GM, Minis I (eds) Planned route optimization for real-time vehicle routing., Dynamic fleet management, volume 38 of operations research/computer science interfaces seriesSpringer, US, pp 1–8
Nicolas J, Frederic S, El-Ghazali T (2008) Multi-objective vehicle routing problems. Eur J Oper Res 189(2):293–309
Khouadjia MR, Sarasola B, Alba E, Jourdan L, Talbi EG (2012) A comparative study between dynamic adapted PSO and VNS for the vehicle routing problem with dynamic requests. Appl Soft Comput 12(4):1426–1439
Kytöjoki J, Nuortio T, Brysy O, Gendreau M (2007) An efficient variable neighborhood search heuristic for very large scale vehicle routing problems. Comput Oper Res 34(9):2743–2757
Lackner A (2004) Selection meta-heuristics for dynamic vehicle routing problem (Dynamische Tourenplanung mit ausgewählten Metaheuristiken). Number 47. Göttinger Wirtschftinformatik
Larsen A (2001) The dynamic vehicle routing problem. Ph.D. Thesis
Larsen A, Madsen OBG, Solomon MM (2008) In: Golden B, Raghavan S, Wasil E (eds) Recent developments in dynamic vehicle routing systems., The Vehicle Routing Problem: Latest Advances and New Challenges, volume 43 of Operations Research/Computer Science InterfacesSpringer, US, pp 199–218
Lund K, Madsen OBG, Rygaard JM (1996) Vehicle routing problems with varying degrees of dynamism. Technical Report, IMM Institute of Mathematical Modelling
Montemanni R, Gambardella LM, Rizzoli AE, Donati A (2005) Ant colony system for a dynamic vehicle routing problem. J Comb Optim 10(4):327–343
Ilhan O (1976) Traveling salesman-type combinatorial problems and their relation to the logistics of regional blood banking. Xerox University Microfilms
Pillac V, Gendreau M, Gueret C, Medaglia AL (2013) A review of dynamic vehicle routing problems. Eur J Oper Res 225(1):1–11
Polacek M, Hartl K, Doerner K, Reimann M (2004) A variable neighborhood search for the multi depot vehicle routing problem with time windows. J Heuristics 10(6):613–627
Psaraftis HN (1980) A Dynamic-programming solution to the single vehicle many-to-many immediate request dial-a-ride problem. Transp Sci 14(2):130–154
Rizzoli AE, Montemanni R, Lucibello E, Gambardella LM (2007) Ant colony optimization for real-world vehicle routing problems. Swarm Intel 1:135–151
Solomon MM (1987) Algorithms for the vehicle-routing and scheduling problems with time window constraints. Oper Res 35(2):254–265
Taillard E, Badeau P, Gendreau M, Guertin F, Potvin JY (1997) A tabu search heuristic for the vehicle routing problem with soft time windows. Transp Sci 31(2):170–186
Acknowledgments
This work has been partially funded by the Spanish Ministry of Economy and Competitiveness (TIN2012-32608) and the Spanish Ministry of Industry, Tourism and Trade (TSI-020100-2011-298). Research by Jesica de Armas, supported by the Canary Islands CIE: Tricontinental Atlantic Campus.
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by I. R. Ruiz.
Rights and permissions
About this article
Cite this article
de Armas, J., Melián-Batista, B. Constrained dynamic vehicle routing problems with time windows. Soft Comput 19, 2481–2498 (2015). https://doi.org/10.1007/s00500-014-1574-4
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00500-014-1574-4