Abstract
The present paper highlights the impact of heuristic hybridization on Vehicle Routing Problems (VRPs). More specifically, we focus on the hybridization of the Iterated Local Search heuristic (ILS). We propose different hybridization levels for ILS with two other heuristics, namely a Variable Neighborhood Descent with Random neighborhood ordering (RVND) and a Large Neighborhood Search heuristic (LNS). To evaluate the proposed approaches, we test them on a variant of VRPs called the Capacitated Profitable Tour Problem (CPTP). In a CPTP, the visit of all customers is no longer required and the visit of each customer generates a specific profit. The available fleet of vehicle is limited and capacitated. The aim of the CPTP is to choose which set of customers to visit and in which order to maximize the difference between collected profits and routing costs. Our experiments show that the more ILS is hybridized the better are the results. To bring out the effectiveness of the proposed hybrid approach combining ILS, RVND and LNS, a comparison is made between that proposed approach and three local search heuristics from the literature of the CPTP. The obtained results are competitive.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Archetti, C., Feillet, D., Hertz, A., Speranza, M.G.: The capacitated team orienteering and profitable tour problems. J. Oper. Res. Soc. 60, 831–842 (2009)
Lourenço, H.R., Martin, O.C., Stützle, T.: Iterated local search. In: Glover, F., Kochenberger, G.A. (eds) Handbook of Metaheuristics, vol. 57. Springer, Boston (2003). https://doi.org/10.1007/0-306-48056-5_11
Martins, A.X., Duhamel, C., Mahey, P., Saldanha, R.R., de Souza, M.C.: Variable neighborhood descent with iterated local search for routing and wavelength assignment. Comput. Oper. Res. 39, 2133–2141 (2012)
Martins, I.C., Pinheiro, R.G., Protti, F., Ochi, L.S.: A hybrid iterated local search and variable neighborhood descent heuristic applied to the cell formation problem. Expert Syst. Appl. 42, 8947–8955 (2015)
Chen, P., Huang, H.k., Dong, X.Y.: Iterated variable neighborhood descent algorithm for the capacitated vehicle routing problem. Expert Syst. Appl. 37, 1620–1627 (2010)
Subramanian, A., Drummond, L.M.D.A., Bentes, C., Ochi, L.S., Farias, R.: A parallel heuristic for the vehicle routing problem with simultaneous pickup and delivery. Comput. Oper. Res. 37, 1899–1911 (2010)
Subramanian, A., Uchoa, E., Ochi, L.S.: A hybrid algorithm for a class of vehicle routing problems. Comput. Oper. Res. 40, 2519–2531 (2013)
Assis, L.P., Maravilha, A.L., Vivas, A., Campelo, F., Ramírez, J.A.: Multiobjective vehicle routing problem with fixed delivery and optional collections. Optimization Letters 7, 1419–1431 (2013)
Subramanian, A., Battarra, M.: An iterated local search algorithm for the travelling salesman problem with pickups and deliveries. J. Oper. Res. Soc. 64, 402–409 (2013)
Hernández-Pérez, H., Rodríguez-Martín, I., Salazar-González, J.J.: A hybrid heuristic approach for the multi-commodity pickup-and-delivery traveling salesman problem. Eur. J. Oper. Res. 251, 44–52 (2016)
Todosijević, R., Hanafi, S., Urošević, D., Jarboui, B., Gendron, B.: A general variable neighborhood search for the swap-body vehicle routing problem. Comput. Oper. Res. 78, 468–479 (2017)
Erdoğan, G., Cordeau, J.F., Laporte, G.: The pickup and delivery traveling salesman problem with first-in-first-out loading. Comput. Oper. Res. 36, 1800–1808 (2009)
Hernández-Pérez, H., Rodríguez-Martín, I., Salazar-González, J.J.: A hybrid grasp/vnd heuristic for the one-commodity pickup-and-delivery traveling salesman problem. Comput. Oper. Res. 36, 1639–1645 (2009)
Rodríguez-Martín, I., Salazar-González, J.J.: A hybrid heuristic approach for the multi-commodity one-to-one pickup-and-delivery traveling salesman problem. J. Heuristics 18, 849–867 (2012)
Gansterer, M., Küçüktepe, M., Hartl, R.F.: The multi-vehicle profitable pickup and delivery problem. OR Spectrum 39, 303–319 (2017)
Sifaleras, A., Konstantaras, I.: Variable neighborhood descent heuristic for solving reverse logistics multi-item dynamic lot-sizing problems. Comput. Oper. Res. 78, 385–392 (2017)
Samà, M., Corman, F., Pacciarelli, D., et al.: A variable neighbourhood search for fast train scheduling and routing during disturbed railway traffic situations. Comput. Oper. Res. 78, 480–499 (2017)
Hassannayebi, E., Zegordi, S.H.: Variable and adaptive neighbourhood search algorithms for rail rapid transit timetabling problem. Comput. Oper. Res. 78, 439–453 (2017)
Sassi, O., Cherif-Khettaf, W.R., Oulamara, A.: Multi-start iterated local search for the mixed fleet vehicle routing problem with heterogenous electric vehicles. In: Ochoa, G., Chicano, F. (eds.) EvoCOP 2015. LNCS, vol. 9026, pp. 138–149. Springer, Cham (2015). https://doi.org/10.1007/978-3-319-16468-7_12
Cuervo, D.P., Goos, P., Sörensen, K., Arráiz, E.: An iterated local search algorithm for the vehicle routing problem with backhauls. Eur. J. Oper. Res. 237, 454–464 (2014)
Silva, M.M., Subramanian, A., Ochi, L.S.: An iterated local search heuristic for the split delivery vehicle routing problem. Comput. Oper. Res. 53, 234–249 (2015)
Morais, V.W., Mateus, G.R., Noronha, T.F.: Iterated local search heuristics for the vehicle routing problem with cross-docking. Expert Syst. Appl. 41, 7495–7506 (2014)
Li, J., Pardalos, P.M., Sun, H., Pei, J., Zhang, Y.: Iterated local search embedded adaptive neighborhood selection approach for the multi-depot vehicle routing problem with simultaneous deliveries and pickups. Expert Syst. Appl. 42, 3551–3561 (2015)
François, V., Arda, Y., Crama, Y., Laporte, G.: Large neighborhood search for multi-trip vehicle routing. Eur. J. Oper. Res. 255, 422–441 (2016)
Grangier, P., Gendreau, M., Lehuédé, F., Rousseau, L.M.: A matheuristic based on large neighborhood search for the vehicle routing problem with cross-docking. Comput. Oper. Res. 84, 116–126 (2017)
Akpinar, S.: Hybrid large neighbourhood search algorithm for capacitated vehicle routing problem. Expert Syst. Appl. 61, 28–38 (2016)
Dominguez, O., Guimarans, D., Juan, A.A., de la Nuez, I.: A biased-randomised large neighbourhood search for the two-dimensional vehicle routing problem with backhauls. Eur. J. Oper. Res. 255, 442–462 (2016)
Canca, D., De-Los-Santos, A., Laporte, G., Mesa, J.A.: An adaptive neighborhood search metaheuristic for the integrated railway rapid transit network design and line planning problem. Comput. Oper. Res. 78, 1–14 (2017)
Chentli, H., Ouafi, R., Cherif-Khettaf, W.R.: Behaviour of a hybrid ils heuristic on the capacitated profitable tour problem. In: Proceedings of the 7th International Conference on Operations Research and Enterprise Systems: ICORES, INSTICC, SciTePress, vol. 1, pp. 115–123 (2018)
Solomon, M.M.: Algorithms for the vehicle routing and scheduling problems with time window constraints. Oper. Res. 35, 254–265 (1987)
Talbi, E.G.: Metaheuristics: from design to implementation (2009)
Pisinger, D., Ropke, S.: A general heuristic for vehicle routing problems. Comput. Oper. Res. 34, 2403–2435 (2007)
Christofides, N., Mingozzi, A., Toth, P.: The vehicle routing problem. In: Christofides, N., Mingozzi, A., Toth, P., Sandi, C. (eds.) Combinatorial Optimization, pp. 315–338. Wiley, Chichester (1979)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Chentli, H., Ouafi, R., Cherif-Khettaf, W.R. (2019). Impact of Iterated Local Search Heuristic Hybridization on Vehicle Routing Problems: Application to the Capacitated Profitable Tour Problem. In: Parlier, G., Liberatore, F., Demange, M. (eds) Operations Research and Enterprise Systems. ICORES 2018. Communications in Computer and Information Science, vol 966. Springer, Cham. https://doi.org/10.1007/978-3-030-16035-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-16035-7_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-16034-0
Online ISBN: 978-3-030-16035-7
eBook Packages: Computer ScienceComputer Science (R0)