Skip to main content

A Stochastic, Multi-Commodity Multi-Period Inventory-Location Problem: Modeling and Solving an Industrial Application

  • Conference paper
  • First Online:
Computational Logistics (ICCL 2019)

Abstract

This paper addresses the real-world supply chain network design problem with a strategic multi-commodity and multi-period inventory-location problem with stochastic demands. The proposed methodology involves a complex non-linear, non-convex, mixed integer programming model, which allows for the optimization of warehouse location, demand zone’s assignment, and manufacturing settings while minimizing the fixed costs of a distribution center (DC), along with the transportation and inventory costs in a multi-commodity, multi-period scenario. In addition, a genetic algorithm is implemented to obtain near-optimal solutions at competitive times. We applied the model to a real-world industrial case of a Colombian rolled steel manufacturing company, where a new, optimized supply chain distribution network is required to serve customers at a national level. The proposed approach provides a practical solution to optimize their distribution network, achieving significant cost reductions for the company.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Alberto, P.: The logistics of industrial location decisions: an application of the analytic hierarchy process methodology. Int. J. Logist. Res. Appl. 3(3), 273–289 (2000)

    Article  Google Scholar 

  2. Berman, O., Krass, D., Tajbakhsh, M.M.: A coordinated location-inventory model. Eur. J. Oper. Res. 217(3), 500–508 (2012)

    Article  MathSciNet  Google Scholar 

  3. Daskin, M.S., Coullard, C.R., Shen, Z.J.M.: An inventory-location model: Formulation, solution algorithm and computational results. Ann. Oper. Res. 110(14), 83–106 (2002)

    Article  MathSciNet  Google Scholar 

  4. DNP, Encuesta nacional de logística “Colombia es logística.” http://www.colombiacompetitiva.gov.co/prensa/2015/Paginas/Colombia-es-Logistica-La-Encuesta-Nacional-de-Logistica-2015.aspx. Accessed 29 July 2019

  5. Escalona, P., Ordóñez, F., Marianov, V.: Joint location-inventory problem with differentiated service levels using critical level policy. Transp. Res. Part E Logist. Transp. Rev. 83, 141–157 (2015)

    Article  Google Scholar 

  6. Guerrero, W.J., Prodhon, C., Velasco, N., Amaya, C.A.: Hybrid heuristic for the inventory location-routing problem with deterministic demand. Int. J. Prod. Econ. 146(1), 359–370 (2013)

    Article  Google Scholar 

  7. Jamshidi, R., Esfahani, M.M.S.: A novel hybrid method for supply chain optimization with capacity constraint and shipping option. Int. J. Adv. Manuf. Technol. 67(5), 1563–1575 (2013)

    Article  Google Scholar 

  8. Kaya, O., Urek, B.: A mixed integer nonlinear programming model and heuristic solutions for location, inventory and pricing decisions in a closed loop supply chain. Comput. Oper. Res. 65, 93–103 (2016)

    Article  MathSciNet  Google Scholar 

  9. Melo, M.T., Nickel, S., Saldanha-da-Gama, F.: Facility location and supply chain management – a review. Eur. J. Oper. Res. 196(2), 401–412 (2009)

    Article  MathSciNet  Google Scholar 

  10. Melo, M.T., Nickel, S., Saldanha-da-Gama, F.: An efficient heuristic approach for a multi-period logistics network redesign problem. TOP 22(1), 80–108 (2014)

    Article  MathSciNet  Google Scholar 

  11. Miranda, P.A., Garrido, R.A.: Incorporating inventory control decisions into a strategic distribution network design model with stochastic demand. Transp. Res. Part E Logist. Transp. Rev. 40(3), 183–207 (2004)

    Article  Google Scholar 

  12. Miranda, P.A., Garrido, R.A.: A simultaneous inventory control and facility location model with stochastic capacity constraints. Netw. Spat. Econ. 6(1), 39–53 (2006)

    Article  MathSciNet  Google Scholar 

  13. Miranda, P.A., Garrido, R.A., Ceroni, J.A.: e-Work based collaborative optimization approach for strategic logistic network design problem. Comput. Ind. Eng. 57(1), 3–13 (2009)

    Article  Google Scholar 

  14. Mourits, M., Evers, J.J.M.: Distribution network design: An integrated planning support framework. Int. J. Phys. Distrib. Logist. Manag. 25(5), 43–57 (1995)

    Article  Google Scholar 

  15. Olivares-Benitez, E., González-Velarde, J.L., Ríos-Mercado, R.Z.: A supply chain design problem with facility location and bi-objective transportation choices. TOP 20(3), 729–753 (2012)

    Article  MathSciNet  Google Scholar 

  16. Orozco-Fontalvo, M., Cantillo, V., Miranda, P.: A meta-heuristic approach to a strategic mixed inventory-location model: Formulation and application. Transp. Res. Procedia 25, 729–746 (2017)

    Article  Google Scholar 

  17. Owen, S.H., Daskin, M.S.: Strategic facility location: a review. Eur. J. Oper. Res. 111(3), 423–447 (1998)

    Article  Google Scholar 

  18. Ozsen, L., Daskin, M.S., Coullard, C.R.: Facility location modeling and inventory management with multisourcing. Transp. Sci. 43(4), 455–472 (2009)

    Article  Google Scholar 

  19. Perez Loaiza, R.E., Olivares-Benitez, E., Miranda Gonzalez, P.A., Guerrero Campanur, A., Martinez Flores, J.L.: Supply chain network design with efficiency, location, and inventory policy using a multiobjective evolutionary algorithm. Trans. Oper. Res. 24(1–2), 251–275 (2017)

    Article  MathSciNet  Google Scholar 

  20. Saaty, T.L.: How to make a decision: The analytic hierarchy process. Eur. J. Oper. Res. 48(1), 9–26 (1990)

    Article  MathSciNet  Google Scholar 

  21. Shen, Z.-J.M., Coullard, C., Daskin, M.S.: A joint location-inventory model. Transp. Sci. 37(1), 40–55 (2003)

    Article  Google Scholar 

  22. Simchi-Levi, D., Kaminsky, P., Simchi-Levi, E.: Designing and managing the supply chain: concepts, strategies, and case studies, 2nd edn. McGraw-Hill/Irwin, Boston, Mass (2003)

    MATH  Google Scholar 

  23. Sintec: Transporte, el verdadero reto en latinoamerica y Colombia. http://www.il-latam.com/wp-content/uploads/2018/08/infografia-transporte-Latam-Colombia.pdf. Accessed 29 July 2019

  24. Soleimani, H., Kannan, G.: A hybrid particle swarm optimization and genetic algorithm for closed-loop supply chain network design in large-scale networks. Appl. Math. Model. 39(14), 3990–4012 (2015)

    Article  MathSciNet  Google Scholar 

  25. Vidal, C.J., Goetschalckx, M.: Strategic production-distribution models: A critical review with emphasis on global supply chain models. Eur. J. Oper. Res. 98(1), 1–18 (1997)

    Article  Google Scholar 

  26. Zhang, Y., Qi, M., Miao, L., Liu, E.: Hybrid metaheuristic solutions to inventory location routing problem. Transp. Res. Part E Logist. Transp. Rev. 70, 305–323 (2014)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mauricio Orozco-Fontalvo .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Orozco-Fontalvo, M., Cantillo, V., Miranda, P.A. (2019). A Stochastic, Multi-Commodity Multi-Period Inventory-Location Problem: Modeling and Solving an Industrial Application. In: Paternina-Arboleda, C., Voß, S. (eds) Computational Logistics. ICCL 2019. Lecture Notes in Computer Science(), vol 11756. Springer, Cham. https://doi.org/10.1007/978-3-030-31140-7_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-31140-7_20

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-31139-1

  • Online ISBN: 978-3-030-31140-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics