Skip to main content
Erschienen in:
Buchtitelbild

2016 | OriginalPaper | Buchkapitel

A Hybrid Constructive Mat-heuristic Algorithm for the Heterogeneous Vehicle Routing Problem with Simultaneous Pick-up and Delivery

verfasst von : Baris Kececi, Fulya Altiparmak, Imdat Kara

Erschienen in: Evolutionary Computation in Combinatorial Optimization

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In this paper, a variant of Vehicle Routing Problem, called Heterogeneous Vehicle Routing Problem with Simultaneous Pick-up and Delivery (HVRPSPD), is considered. The HVRPSPD can be defined as determining the routes and vehicle types on each route in such a way that the pickup and delivery demands of each customer must be performed with same vehicle, while minimizing the total cost. We propose a mathematical model for the problem and some valid inequalities for the model. Since the HVRPSPD is an NP-hard problem, the proposed mathematical model can be used to find the optimal solution for the small-size problems. Therefore we propose a hybrid mat-heuristic approach based on the formulation and Local Search to solve medium and large-size HVRPSPDs. A series of experiments is performed to evaluate the performance of proposed algorithm. Computational results show that hybrid mat-heuristic is computationally efficient to find good quality of initial solutions.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
2.
Zurück zum Zitat Toth, P., Vigo, D.: The vehicle routing problem. Society for Industrial and Applied Mathematics (2001) Toth, P., Vigo, D.: The vehicle routing problem. Society for Industrial and Applied Mathematics (2001)
4.
Zurück zum Zitat Golden, B., Assad, A., Levy, L., Gheysens, F.: The fleet size and mix vehicle routing problem. Comput. Oper. Res. 11(1), 49–66 (1984)CrossRefMATH Golden, B., Assad, A., Levy, L., Gheysens, F.: The fleet size and mix vehicle routing problem. Comput. Oper. Res. 11(1), 49–66 (1984)CrossRefMATH
5.
Zurück zum Zitat Salhi, S., Rand, G.K.: Incorporating vehicle routing into the vehicle fleet composition problem. Eur. J. Oper. Res. 66(3), 313–330 (1993)CrossRefMATH Salhi, S., Rand, G.K.: Incorporating vehicle routing into the vehicle fleet composition problem. Eur. J. Oper. Res. 66(3), 313–330 (1993)CrossRefMATH
6.
Zurück zum Zitat Gheysens, F., Golden, B., Assad, A.: A new heuristic for determining fleet size and composition. In: Gallo, G., Sandi, C. (eds.) Netflow at Pisa. Mathematical Programming Studies, vol. 26, pp. 233–236. Springer, Heidelberg (1986)CrossRef Gheysens, F., Golden, B., Assad, A.: A new heuristic for determining fleet size and composition. In: Gallo, G., Sandi, C. (eds.) Netflow at Pisa. Mathematical Programming Studies, vol. 26, pp. 233–236. Springer, Heidelberg (1986)CrossRef
7.
Zurück zum Zitat Taillard, É.D.: A heuristic column generation method for the heterogeneous fleet vrp. Revue française d’automatique, d’informatique et de Recherche Opérationnelle Recherche Opérationnelle 33(1), 1–14 (1999) Taillard, É.D.: A heuristic column generation method for the heterogeneous fleet vrp. Revue française d’automatique, d’informatique et de Recherche Opérationnelle Recherche Opérationnelle 33(1), 1–14 (1999)
8.
Zurück zum Zitat Tarantilis, C.D., Kiranoudis, C.T., Vassiliadis, V.S.: A threshold accepting metaheuristic for the heterogeneous fixed fleet vehicle routing problem. Eur. J. Oper. Res. 152(1), 148–158 (2004)MathSciNetCrossRefMATH Tarantilis, C.D., Kiranoudis, C.T., Vassiliadis, V.S.: A threshold accepting metaheuristic for the heterogeneous fixed fleet vehicle routing problem. Eur. J. Oper. Res. 152(1), 148–158 (2004)MathSciNetCrossRefMATH
9.
Zurück zum Zitat Baldacci, R., Toth, P., Vigo, D.: Exact algorithms for routing problems under vehicle capacity constraints. Ann. Oper. Res. 175(1), 213–245 (2010)MathSciNetCrossRefMATH Baldacci, R., Toth, P., Vigo, D.: Exact algorithms for routing problems under vehicle capacity constraints. Ann. Oper. Res. 175(1), 213–245 (2010)MathSciNetCrossRefMATH
10.
Zurück zum Zitat Hoff, A., Andersson, H., Christiansen, M., Hasle, G., Løkketangen, A.: Industrial aspects and literature survey: fleet composition and routing. Comput. Oper. Res. 37(12), 2041–2061 (2010)MathSciNetCrossRefMATH Hoff, A., Andersson, H., Christiansen, M., Hasle, G., Løkketangen, A.: Industrial aspects and literature survey: fleet composition and routing. Comput. Oper. Res. 37(12), 2041–2061 (2010)MathSciNetCrossRefMATH
11.
Zurück zum Zitat Berbeglia, G., Cordeau, J.F., Gribkovskaia, I., Laporte, G.: Static pickup and delivery problems: a classification scheme and survey. Top 15(1), 1–31 (2007)MathSciNetCrossRefMATH Berbeglia, G., Cordeau, J.F., Gribkovskaia, I., Laporte, G.: Static pickup and delivery problems: a classification scheme and survey. Top 15(1), 1–31 (2007)MathSciNetCrossRefMATH
12.
Zurück zum Zitat Parragh, S.N., Doerner, K., Hartl, R.F.: A survey on pickup and delivery models part i: transportation between customers and depot. J. Betriebswirtschaft 58, 21–51 (2008)CrossRef Parragh, S.N., Doerner, K., Hartl, R.F.: A survey on pickup and delivery models part i: transportation between customers and depot. J. Betriebswirtschaft 58, 21–51 (2008)CrossRef
13.
Zurück zum Zitat Rieck, J., Zimmermann, J.: A hybrid algorithm for vehicle routing of less-than-truckload carriers. In: Sörensen, K., Sevaux, M., Habenicht, W., Geiger, M.J. (eds.) Metaheuristics in the Service Industry. Lecture Notes in Economics and Mathematical Systems, vol. 624, pp. 155–171. Springer, Heidelberg (2009)CrossRef Rieck, J., Zimmermann, J.: A hybrid algorithm for vehicle routing of less-than-truckload carriers. In: Sörensen, K., Sevaux, M., Habenicht, W., Geiger, M.J. (eds.) Metaheuristics in the Service Industry. Lecture Notes in Economics and Mathematical Systems, vol. 624, pp. 155–171. Springer, Heidelberg (2009)CrossRef
14.
Zurück zum Zitat Çetin, S., Gencer, C.: Heterojen araç filolu zaman pencereli eş zamanlı dağıtım-toplamalı araç rotalama problemleri: Matematiksel model. Int. J. Research Dev. 3(1), 19–27 (2011) Çetin, S., Gencer, C.: Heterojen araç filolu zaman pencereli eş zamanlı dağıtım-toplamalı araç rotalama problemleri: Matematiksel model. Int. J. Research Dev. 3(1), 19–27 (2011)
15.
Zurück zum Zitat Dethloff, J.: Vehicle routing and reverse logistics: the vehicle routing problem with simultaneous delivery and pick-up. OR-Spektrum 23(1), 79–96 (2001)MathSciNetCrossRefMATH Dethloff, J.: Vehicle routing and reverse logistics: the vehicle routing problem with simultaneous delivery and pick-up. OR-Spektrum 23(1), 79–96 (2001)MathSciNetCrossRefMATH
16.
Zurück zum Zitat Ríos-Mercado, R.Z., López-Pérez, J.F., Castrillón-Escobar, A.: A GRASP for a multi-depot multi-commodity pickup and delivery problem with time windows and heterogeneous fleet in the bottled beverage industry. In: Pacino, D., Voß, S., Jensen, R.M. (eds.) ICCL 2013. LNCS, vol. 8197, pp. 143–157. Springer, Heidelberg (2013)CrossRef Ríos-Mercado, R.Z., López-Pérez, J.F., Castrillón-Escobar, A.: A GRASP for a multi-depot multi-commodity pickup and delivery problem with time windows and heterogeneous fleet in the bottled beverage industry. In: Pacino, D., Voß, S., Jensen, R.M. (eds.) ICCL 2013. LNCS, vol. 8197, pp. 143–157. Springer, Heidelberg (2013)CrossRef
17.
Zurück zum Zitat Hoos, H.H., Stützle, T.: Stochastic local search: Foundations & applications. Elsevier (2004) Hoos, H.H., Stützle, T.: Stochastic local search: Foundations & applications. Elsevier (2004)
18.
Zurück zum Zitat Dantzig, G., Fulkerson, R., Johnson, S.: Solution of a large-scale traveling-salesman problem. J. Oper. Res. Soc. Am. 2(4), 393–410 (1954)MathSciNet Dantzig, G., Fulkerson, R., Johnson, S.: Solution of a large-scale traveling-salesman problem. J. Oper. Res. Soc. Am. 2(4), 393–410 (1954)MathSciNet
19.
Zurück zum Zitat Yaman, H.: Formulations and valid inequalities for the heterogeneous vehicle routing problem. Math. Program. 106(2), 365–390 (2006)MathSciNetCrossRefMATH Yaman, H.: Formulations and valid inequalities for the heterogeneous vehicle routing problem. Math. Program. 106(2), 365–390 (2006)MathSciNetCrossRefMATH
20.
Zurück zum Zitat Boschetti, M.A., Maniezzo, V., Roffilli, M., Bolufé Röhler, A.: Matheuristics: optimization, simulation and control. In: Blesa, M.J., Blum, C., Di Gaspero, L., Roli, A., Sampels, M., Schaerf, A. (eds.) HM 2009. LNCS, vol. 5818, pp. 171–177. Springer, Heidelberg (2009)CrossRef Boschetti, M.A., Maniezzo, V., Roffilli, M., Bolufé Röhler, A.: Matheuristics: optimization, simulation and control. In: Blesa, M.J., Blum, C., Di Gaspero, L., Roli, A., Sampels, M., Schaerf, A. (eds.) HM 2009. LNCS, vol. 5818, pp. 171–177. Springer, Heidelberg (2009)CrossRef
21.
Zurück zum Zitat Croce, D.F., Salassa, F.: A variable neighborhood search based matheuristic for nurse rostering problems. Ann. Oper. Res. 218(1), 185–199 (2014)MathSciNetCrossRefMATH Croce, D.F., Salassa, F.: A variable neighborhood search based matheuristic for nurse rostering problems. Ann. Oper. Res. 218(1), 185–199 (2014)MathSciNetCrossRefMATH
22.
Zurück zum Zitat Della Croce, F., Grosso, A., Salassa, F.: A matheuristic approach for the total completion time permutation flow shop problem. Operations Research for Complex Decision Making, pp. 20 (2010) Della Croce, F., Grosso, A., Salassa, F.: A matheuristic approach for the total completion time permutation flow shop problem. Operations Research for Complex Decision Making, pp. 20 (2010)
23.
Zurück zum Zitat Puchinger, J., Raidl, G.R.: Combining metaheuristics and exact algorithms in combinatorial optimization: a survey and classification. In: Mira, J., Álvarez, J.R. (eds.) IWINAC 2005. LNCS, vol. 3562, pp. 41–53. Springer, Heidelberg (2005)CrossRef Puchinger, J., Raidl, G.R.: Combining metaheuristics and exact algorithms in combinatorial optimization: a survey and classification. In: Mira, J., Álvarez, J.R. (eds.) IWINAC 2005. LNCS, vol. 3562, pp. 41–53. Springer, Heidelberg (2005)CrossRef
24.
Zurück zum Zitat Raidl, G.R., Puchinger, J.: Combining (integer) linear programming techniques and metaheuristics for combinatorial optimization. In: Blum, C., Aguilera, M.J.B., Roli, A., Sampels, M. (eds.) An Emerging Approach to Optimization. Studies in Computational Intelligence, vol. 114, pp. 31–62. Springer, Heidelberg (2008)CrossRef Raidl, G.R., Puchinger, J.: Combining (integer) linear programming techniques and metaheuristics for combinatorial optimization. In: Blum, C., Aguilera, M.J.B., Roli, A., Sampels, M. (eds.) An Emerging Approach to Optimization. Studies in Computational Intelligence, vol. 114, pp. 31–62. Springer, Heidelberg (2008)CrossRef
25.
Zurück zum Zitat Maniezzo, V., Stützle, T., Vo, S.: Matheuristics: Hybridizing Metaheuristics and Mathematical Programming. Springer, Heidelberg (2010)CrossRef Maniezzo, V., Stützle, T., Vo, S.: Matheuristics: Hybridizing Metaheuristics and Mathematical Programming. Springer, Heidelberg (2010)CrossRef
26.
Zurück zum Zitat Dondo, R., Cerdá, J.: A cluster-based optimization approach for the multi-depot heterogeneous fleet vehicle routing problem with time windows. Eur. J. Oper. Res. 176(3), 1478–1507 (2007)CrossRefMATH Dondo, R., Cerdá, J.: A cluster-based optimization approach for the multi-depot heterogeneous fleet vehicle routing problem with time windows. Eur. J. Oper. Res. 176(3), 1478–1507 (2007)CrossRefMATH
27.
Zurück zum Zitat Liu, F.H., Shen, S.Y.: The fleet size and mix vehicle routing problem with time windows. J. Oper. Res. Soc. 50, 721–732 (1999)CrossRefMATH Liu, F.H., Shen, S.Y.: The fleet size and mix vehicle routing problem with time windows. J. Oper. Res. Soc. 50, 721–732 (1999)CrossRefMATH
28.
Zurück zum Zitat Solomon, M.M.: Algorithms for the vehicle routing and scheduling problems with time window constraints. Oper. Res. 35(2), 254–265 (1987)MathSciNetCrossRefMATH Solomon, M.M.: Algorithms for the vehicle routing and scheduling problems with time window constraints. Oper. Res. 35(2), 254–265 (1987)MathSciNetCrossRefMATH
29.
Zurück zum Zitat Salhi, S., Nagy, G.: A cluster insertion heuristic for single and multiple depot vehicle routing problems with backhauling. J. oper. Res. Soc. 50, 1034–1042 (1999)CrossRefMATH Salhi, S., Nagy, G.: A cluster insertion heuristic for single and multiple depot vehicle routing problems with backhauling. J. oper. Res. Soc. 50, 1034–1042 (1999)CrossRefMATH
Metadaten
Titel
A Hybrid Constructive Mat-heuristic Algorithm for the Heterogeneous Vehicle Routing Problem with Simultaneous Pick-up and Delivery
verfasst von
Baris Kececi
Fulya Altiparmak
Imdat Kara
Copyright-Jahr
2016
Verlag
Springer International Publishing
DOI
https://doi.org/10.1007/978-3-319-30698-8_1

Premium Partner