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Inventory service-level optimization within distribution network design problem

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  • Miranda, Pablo A.
  • Garrido, Rodrigo A.

Abstract

We propose a sequential heuristic approach to optimize inventory service levels in a two-stage supply chain. The proposed approach deals with service level and inventory decisions, simultaneously with network design decisions, and incorporating unfulfilled demand costs in a previous inventory-location model. A two-step formulation is considered, where the first step optimizes service level and the second step addresses location and inventory decisions. Each algorithm iteration solves an inventory-location model for a fixed service level, and then the service level is updated in order to reach an equilibrium condition between operating system and unfulfilled demand costs. The algorithm converged in three iterations for a set of sample instances, obtaining the same outcome in comparison with a more intuitive, exact, but more time-consuming search procedure.

Suggested Citation

  • Miranda, Pablo A. & Garrido, Rodrigo A., 2009. "Inventory service-level optimization within distribution network design problem," International Journal of Production Economics, Elsevier, vol. 122(1), pages 276-285, November.
    • Handle: RePEc:eee:proeco:v:122:y:2009:i:1:p:276-285
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    References listed on IDEAS

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    1. Miranda, Pablo A. & Garrido, Rodrigo A., 2008. "Valid inequalities for Lagrangian relaxation in an inventory location problem with stochastic capacity," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 44(1), pages 47-65, January.
    2. Nozick, Linda K. & Turnquist, Mark A., 2001. "A two-echelon inventory allocation and distribution center location analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 37(6), pages 425-441, December.
    3. Stephen C. Graves & Sean P. Willems, 2000. "Optimizing Strategic Safety Stock Placement in Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 2(1), pages 68-83, June.
    4. Mark Daskin & Collette Coullard & Zuo-Jun Shen, 2002. "An Inventory-Location Model: Formulation, Solution Algorithm and Computational Results," Annals of Operations Research, Springer, vol. 110(1), pages 83-106, February.
    5. James R. Bradley & Bruce C. Arntzen, 1999. "The Simultaneous Planning of Production, Capacity, and Inventory in Seasonal Demand Environments," Operations Research, INFORMS, vol. 47(6), pages 795-806, December.
    6. Dupont, Lionel, 2008. "Branch and bound algorithm for a facility location problem with concave site dependent costs," International Journal of Production Economics, Elsevier, vol. 112(1), pages 245-254, March.
    7. Bhutta, Khurrum S. & Huq, Faizul & Frazier, Greg & Mohamed, Zubair, 2003. "An integrated location, production, distribution and investment model for a multinational corporation," International Journal of Production Economics, Elsevier, vol. 86(3), pages 201-216, December.
    8. Arostegui, Marvin Jr. & Kadipasaoglu, Sukran N. & Khumawala, Basheer M., 2006. "An empirical comparison of Tabu Search, Simulated Annealing, and Genetic Algorithms for facilities location problems," International Journal of Production Economics, Elsevier, vol. 103(2), pages 742-754, October.
    9. Kochel, P., 2007. "Order optimisation in multi-location models with hub-and-spoke structure," International Journal of Production Economics, Elsevier, vol. 108(1-2), pages 368-387, July.
    10. Nozick, Linda K. & Turnquist, Mark A., 1998. "Integrating inventory impacts into a fixed-charge model for locating distribution centers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 34(3), pages 173-186, September.
    11. Miranda, Pablo A. & Garrido, Rodrigo A., 2004. "Incorporating inventory control decisions into a strategic distribution network design model with stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 40(3), pages 183-207, May.
    12. Axsater, Sven, 2003. "Approximate optimization of a two-level distribution inventory system," International Journal of Production Economics, Elsevier, vol. 81(1), pages 545-553, January.
    13. Pablo Miranda & Rodrigo Garrido, 2006. "A Simultaneous Inventory Control and Facility Location Model with Stochastic Capacity Constraints," Networks and Spatial Economics, Springer, vol. 6(1), pages 39-53, March.
    14. Zuo-Jun Max Shen & Collette Coullard & Mark S. Daskin, 2003. "A Joint Location-Inventory Model," Transportation Science, INFORMS, vol. 37(1), pages 40-55, February.
    15. Markus Ettl & Gerald E. Feigin & Grace Y. Lin & David D. Yao, 2000. "A Supply Network Model with Base-Stock Control and Service Requirements," Operations Research, INFORMS, vol. 48(2), pages 216-232, April.
    16. Lin, C.K.Y., 2009. "Stochastic single-source capacitated facility location model with service level requirements," International Journal of Production Economics, Elsevier, vol. 117(2), pages 439-451, February.
    17. Gérard P. Cachon, 2001. "Exact Evaluation of Batch-Ordering Inventory Policies in Two-Echelon Supply Chains with Periodic Review," Operations Research, INFORMS, vol. 49(1), pages 79-98, February.
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    2. Nickel, Stefan & Saldanha-da-Gama, Francisco & Ziegler, Hans-Peter, 2012. "A multi-stage stochastic supply network design problem with financial decisions and risk management," Omega, Elsevier, vol. 40(5), pages 511-524.
    3. Aaron Guerrero Campanur & Elias Olivares-Benitez & Pablo A. Miranda & Rodolfo Eleazar Perez-Loaiza & Jose Humberto Ablanedo-Rosas, 2018. "Design of a Logistics Nonlinear System for a Complex, Multiechelon, Supply Chain Network with Uncertain Demands," Complexity, Hindawi, vol. 2018, pages 1-16, November.
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    5. Guerrero, W.J. & Prodhon, C. & Velasco, N. & Amaya, C.A., 2013. "Hybrid heuristic for the inventory location-routing problem with deterministic demand," International Journal of Production Economics, Elsevier, vol. 146(1), pages 359-370.
    6. Cannella, Salvatore & Framinan, Jose M. & Bruccoleri, Manfredi & Barbosa-Póvoa, Ana Paula & Relvas, Susana, 2015. "The effect of Inventory Record Inaccuracy in Information Exchange Supply Chains," European Journal of Operational Research, Elsevier, vol. 243(1), pages 120-129.
    7. Darmawan, Agus & Wong, Hartanto & Thorstenson, Anders, 2021. "Supply chain network design with coordinated inventory control," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 145(C).
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    9. Dezhi Zhang & Shuxin Yang & Shuangyan Li & Jiajun Fan & Bin Ji, 2020. "Integrated Optimization of the Location–Inventory Problem of Maintenance Component Distribution for High-Speed Railway Operations," Sustainability, MDPI, vol. 12(13), pages 1-25, July.
    10. Alaei, Saeed & Setak, Mostafa, 2015. "Multi objective coordination of a supply chain with routing and service level consideration," International Journal of Production Economics, Elsevier, vol. 167(C), pages 271-281.
    11. Escalona, P. & Marianov, V. & Ordóñez, F. & Stegmaier, R., 2018. "On the effect of inventory policies on distribution network design with several demand classes," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 111(C), pages 229-240.
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