Skip to main content
Top

2018 | OriginalPaper | Chapter

An Evolutionary Algorithm with Practitioner’s-Knowledge-Based Operators for the Inventory Routing Problem

Authors : Piotr Lipinski, Krzysztof Michalak

Published in: Evolutionary Computation in Combinatorial Optimization

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper concerns the Inventory Routing Problem (IRP) which is an optimization problem addressing the optimization of transportation routes and the inventory levels at the same time. The IRP is notable for its difficulty - even finding feasible initial solutions poses a significant problem.
In this paper an evolutionary algorithm is proposed that uses approaches to solution construction and modification utilized by practitioners in the field. The population for the EA is initialized starting from a base solution which in this paper is generated by a heuristic, but can as well be a solution provided by a domain expert. Subsequently, feasibility-preserving moves are used to generate the initial population. In the paper dedicated recombination and mutation operators are proposed which aim at generating new solutions without loosing feasibility. In order to reduce the search space, solutions in the presented EA are encoded as lists of routes with the quantities to be delivered determined by a supplying policy.
The presented work is a step towards utilizing domain knowledge in evolutionary computation. The EA presented in this paper employs mechanisms of solution initialization capable of generating a set of feasible initial solutions of the IRP in a reasonable time. Presented operators generate new feasible solutions effectively without requiring a repair mechanism.

Dont have a licence yet? Then find out more about our products and how to get one now:

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!

Literature
1.
go back to reference Aghezzaf, E.H., Raa, B., Van Landeghem, H.: Modeling inventory routing problems in supply chains of high consumption products. Eur. J. Oper. Res. 169(3), 1048–1063 (2006)MathSciNetCrossRef Aghezzaf, E.H., Raa, B., Van Landeghem, H.: Modeling inventory routing problems in supply chains of high consumption products. Eur. J. Oper. Res. 169(3), 1048–1063 (2006)MathSciNetCrossRef
2.
go back to reference Archetti, C., Bianchessi, N., Irnich, S., Speranza, M.G.: Formulations for an inventory routing problem. Int. Trans. Oper. Res. 21(3), 353–374 (2014)MathSciNetCrossRef Archetti, C., Bianchessi, N., Irnich, S., Speranza, M.G.: Formulations for an inventory routing problem. Int. Trans. Oper. Res. 21(3), 353–374 (2014)MathSciNetCrossRef
3.
go back to reference Bertazzi, L., Speranza, M.G.: Inventory routing problems: an introduction. EURO J. Transp. Logist. 1(4), 307–326 (2012)CrossRef Bertazzi, L., Speranza, M.G.: Inventory routing problems: an introduction. EURO J. Transp. Logist. 1(4), 307–326 (2012)CrossRef
5.
go back to reference Laporte, G.: Fifty years of vehicle routing. Transp. Sci. 43(4), 408–416 (2009)CrossRef Laporte, G.: Fifty years of vehicle routing. Transp. Sci. 43(4), 408–416 (2009)CrossRef
6.
go back to reference Coelho, L.C., Cordeau, J.F., Laporte, G.: The inventory-routing problem with transshipment. Comput. Oper. Res. 39(11), 2537–2548 (2012)MathSciNetCrossRef Coelho, L.C., Cordeau, J.F., Laporte, G.: The inventory-routing problem with transshipment. Comput. Oper. Res. 39(11), 2537–2548 (2012)MathSciNetCrossRef
7.
go back to reference Nolz, P.C., Absi, N., Feillet, D.: A stochastic inventory routing problem for infectious medical waste collection. Networks 63(1), 82–95 (2014)MathSciNetCrossRef Nolz, P.C., Absi, N., Feillet, D.: A stochastic inventory routing problem for infectious medical waste collection. Networks 63(1), 82–95 (2014)MathSciNetCrossRef
8.
go back to reference Hiassat, A., Diabat, A., Rahwan, I.: A genetic algorithm approach for location-inventory-routing problem with perishable products. J. Manuf. Syst. 42, 93–103 (2017)CrossRef Hiassat, A., Diabat, A., Rahwan, I.: A genetic algorithm approach for location-inventory-routing problem with perishable products. J. Manuf. Syst. 42, 93–103 (2017)CrossRef
9.
go back to reference Archetti, C., Bertazzi, L., Laporte, G., Speranza, M.G.: A branch-and-cut algorithm for a vendor-managed inventory-routing problem. Transp. Sci. 41(3), 382–391 (2007)CrossRef Archetti, C., Bertazzi, L., Laporte, G., Speranza, M.G.: A branch-and-cut algorithm for a vendor-managed inventory-routing problem. Transp. Sci. 41(3), 382–391 (2007)CrossRef
10.
go back to reference Bard, J.F., Nananukul, N.: Heuristics for a multiperiod inventory routing problem with production decisions. Comput. Ind. Eng. 57(3), 713–723 (2009)CrossRef Bard, J.F., Nananukul, N.: Heuristics for a multiperiod inventory routing problem with production decisions. Comput. Ind. Eng. 57(3), 713–723 (2009)CrossRef
11.
go back to reference Diabat, A., Dehghani, E., Jabbarzadeh, A.: Incorporating location and inventory decisions into a supply chain design problem with uncertain demands and lead times. J. Manuf. Syst. 43, 139–149 (2017)CrossRef Diabat, A., Dehghani, E., Jabbarzadeh, A.: Incorporating location and inventory decisions into a supply chain design problem with uncertain demands and lead times. J. Manuf. Syst. 43, 139–149 (2017)CrossRef
12.
go back to reference Liu, S.C., Chen, J.R.: A heuristic method for the inventory routing and pricing problem in a supply chain. Expert Syst. Appl. 38(3), 1447–1456 (2011)CrossRef Liu, S.C., Chen, J.R.: A heuristic method for the inventory routing and pricing problem in a supply chain. Expert Syst. Appl. 38(3), 1447–1456 (2011)CrossRef
13.
go back to reference Juan, A.A., et al.: A review of simheuristics: extending metaheuristics to deal with stochastic combinatorial optimization problems. Oper. Res. Perspect. 2, 62–72 (2015)MathSciNetCrossRef Juan, A.A., et al.: A review of simheuristics: extending metaheuristics to deal with stochastic combinatorial optimization problems. Oper. Res. Perspect. 2, 62–72 (2015)MathSciNetCrossRef
14.
go back to reference Juan, A.A., Grasman, S.E., Caceres-Cruz, J., Bekta, T.: A simheuristic algorithm for the single-period stochastic inventory-routing problem with stock-outs. Simul. Model. Pract. Theor. 46, 40–52 (2014)CrossRef Juan, A.A., Grasman, S.E., Caceres-Cruz, J., Bekta, T.: A simheuristic algorithm for the single-period stochastic inventory-routing problem with stock-outs. Simul. Model. Pract. Theor. 46, 40–52 (2014)CrossRef
Metadata
Title
An Evolutionary Algorithm with Practitioner’s-Knowledge-Based Operators for the Inventory Routing Problem
Authors
Piotr Lipinski
Krzysztof Michalak
Copyright Year
2018
DOI
https://doi.org/10.1007/978-3-319-77449-7_10

Premium Partner