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The value of integration of full container load, less than container load and air freight shipments in vendor–managed inventory systems

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  • Bertazzi, Luca
  • Moezi, Sarem Deilami
  • Maggioni, Francesca

Abstract

We address a long–haul transportation problem of delivering a set of products from a producer to a customer, where Full Container Load (FCL) shipments on one side and Less than Container Load (LCL) or Air Freight shipments on the other side are integrated. A Vendor-Managed Inventory (VMI) approach is used: a decision-maker has to find a periodic shipping policy that minimizes the sum of transportation cost and inventory cost, both at the producer and at the customer. This problem is defined at the tactical level implying that the initial inventory levels at the producer and at the customer are not data, but decision variables. For this problem we formulate a Mixed Integer Linear Programming model and prove its computational complexity. Furthermore, we introduce the concept of Value of Integration of FCL and LCL/Air Freight shipments and prove performance bounds to show that the integration of FCL and LCL/Air Freight shipments can lead to significant cost savings, both in the worst case and on average. Systematic computational experiments are finally carried out.

Suggested Citation

  • Bertazzi, Luca & Moezi, Sarem Deilami & Maggioni, Francesca, 2021. "The value of integration of full container load, less than container load and air freight shipments in vendor–managed inventory systems," International Journal of Production Economics, Elsevier, vol. 241(C).
    • Handle: RePEc:eee:proeco:v:241:y:2021:i:c:s092552732100236x
    DOI: 10.1016/j.ijpe.2021.108260
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    1. Qiu, Yuzhuo & Qiao, Jun & Pardalos, Panos M., 2019. "Optimal production, replenishment, delivery, routing and inventory management policies for products with perishable inventory," Omega, Elsevier, vol. 82(C), pages 193-204.
    2. Luca Bertazzi & Maria Grazia Speranza & Walter Ukovich, 2000. "Exact and Heuristic Solutions for a Shipment Problem with Given Frequencies," Management Science, INFORMS, vol. 46(7), pages 973-988, July.
    3. Bertazzi, Luca & Maggioni, Francesca, 2018. "A stochastic multi-stage fixed charge transportation problem: Worst-case analysis of the rolling horizon approach," European Journal of Operational Research, Elsevier, vol. 267(2), pages 555-569.
    4. Bertazzi, Luca & Speranza, Maria Grazia, 2005. "Improved rounding procedures for the discrete version of the capacitated EOQ problem," European Journal of Operational Research, Elsevier, vol. 166(1), pages 25-34, October.
    5. Archetti, Claudia & Speranza, M. Grazia & Boccia, Maurizio & Sforza, Antonio & Sterle, Claudio, 2020. "A branch-and-cut algorithm for the inventory routing problem with pickups and deliveries," European Journal of Operational Research, Elsevier, vol. 282(3), pages 886-895.
    6. Sila Çetinkaya & Chung-Yee Lee, 2000. "Stock Replenishment and Shipment Scheduling for Vendor-Managed Inventory Systems," Management Science, INFORMS, vol. 46(2), pages 217-232, February.
    7. Dennis E. Blumenfeld & Lawrence D. Burns & Carlos F. Daganzo & Michael C. Frick & Randolph W. Hall, 1987. "Reducing Logistics Costs at General Motors," Interfaces, INFORMS, vol. 17(1), pages 26-47, February.
    8. Claudia Archetti & Luca Bertazzi & Gilbert Laporte & Maria Grazia Speranza, 2007. "A Branch-and-Cut Algorithm for a Vendor-Managed Inventory-Routing Problem," Transportation Science, INFORMS, vol. 41(3), pages 382-391, August.
    9. Bertazzi, Luca & Grazia Speranza, Maria, 2005. "Worst-case analysis of the full load policy in the single link problem," International Journal of Production Economics, Elsevier, vol. 93(1), pages 217-224, January.
    10. Luca Bertazzi & Maria Grazia Speranza, 1999. "Minimizing logistic costs in multistage supply chains," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(4), pages 399-417, June.
    11. Bertazzi, Luca & Grazia Speranza, Maria, 1999. "Inventory control on sequences of links with given transportation frequencies," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 261-270, March.
    12. Neves-Moreira, Fábio & Almada-Lobo, Bernardo & Cordeau, Jean-François & Guimarães, Luís & Jans, Raf, 2019. "Solving a large multi-product production-routing problem with delivery time windows," Omega, Elsevier, vol. 86(C), pages 154-172.
    13. Bertazzi, Luca & Speranza, Maria Grazia & Ukovich, Walter, 1997. "Minimization of logistic costs with given frequencies," Transportation Research Part B: Methodological, Elsevier, vol. 31(4), pages 327-340, August.
    14. Blumenfeld, Dennis E. & Burns, Lawrence D. & Diltz, J. David & Daganzo, Carlos F., 1985. "Analyzing trade-offs between transportation, inventory and production costs on freight networks," Transportation Research Part B: Methodological, Elsevier, vol. 19(5), pages 361-380, October.
    15. Yu, Yugang & Chen, Haoxun & Chu, Feng, 2008. "A new model and hybrid approach for large scale inventory routing problems," European Journal of Operational Research, Elsevier, vol. 189(3), pages 1022-1040, September.
    16. Luca Bertazzi & Lap Mui Ann Chan, 2014. "Analysis of the Best Double Frequency Policy in the Single Link Problem with Discrete Shipping Times," Journal of Optimization Theory and Applications, Springer, vol. 163(1), pages 286-309, October.
    17. Walter J. Bell & Louis M. Dalberto & Marshall L. Fisher & Arnold J. Greenfield & R. Jaikumar & Pradeep Kedia & Robert G. Mack & Paul J. Prutzman, 1983. "Improving the Distribution of Industrial Gases with an On-Line Computerized Routing and Scheduling Optimizer," Interfaces, INFORMS, vol. 13(6), pages 4-23, December.
    18. Bhatnagar, Rohit & Mehta, Peeyush & Chong Teo, Chee, 2011. "Coordination of planning and scheduling decisions in global supply chains with dual supply modes," International Journal of Production Economics, Elsevier, vol. 131(2), pages 473-482, June.
    19. Luca Bertazzi, 2008. "Analysis of Direct Shipping Policies in an Inventory-Routing Problem with Discrete Shipping Times," Management Science, INFORMS, vol. 54(4), pages 748-762, April.
    20. M. G. Speranza & W. Ukovich, 1996. "An algorithm for optimal shipments with given frequencies," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(5), pages 655-671, August.
    21. Day, Jamison M. & Daniel Wright, P. & Schoenherr, Tobias & Venkataramanan, Munirpallam & Gaudette, Kevin, 2009. "Improving routing and scheduling decisions at a distributor of industrial gasses," Omega, Elsevier, vol. 37(1), pages 227-237, February.
    22. Qiu, Yuzhuo & Qiao, Jun & Pardalos, Panos M., 2017. "A branch-and-price algorithm for production routing problems with carbon cap-and-trade," Omega, Elsevier, vol. 68(C), pages 49-61.
    23. Bertazzi, Luca & Bosco, Adamo & Laganà, Demetrio, 2015. "Managing stochastic demand in an Inventory Routing Problem with transportation procurement," Omega, Elsevier, vol. 56(C), pages 112-121.
    24. Bertazzi, Luca & Laganà, Demetrio & Ohlmann, Jeffrey W. & Paradiso, Rosario, 2020. "An exact approach for cyclic inbound inventory routing in a level production system," European Journal of Operational Research, Elsevier, vol. 283(3), pages 915-928.
    25. L Bertazzi & O Zappa, 2012. "Integrating transportation and production: an international study case," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(7), pages 920-930, July.
    26. Neves-Moreira, F. & Amorim, P. & Guimarães, L. & Almada-Lobo, B., 2016. "A long-haul freight transportation problem: Synchronizing resources to deliver requests passing through multiple transshipment locations," European Journal of Operational Research, Elsevier, vol. 248(2), pages 487-506.
    27. Luca Bertazzi & Lap Mui Ann Chan & Maria Grazia Speranza, 2007. "Analysis of practical policies for a single link distribution system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(5), pages 497-509, August.
    28. Luca Bertazzi & Giuseppe Paletta & M. Grazia Speranza, 2002. "Deterministic Order-Up-To Level Policies in an Inventory Routing Problem," Transportation Science, INFORMS, vol. 36(1), pages 119-132, February.
    29. Luca Bertazzi & Maria Speranza, 2001. "Rounding Procedures for the Discrete Version of the Capacitated Economic Order Quantity Problem," Annals of Operations Research, Springer, vol. 107(1), pages 33-49, October.
    30. Lawrence D. Burns & Randolph W. Hall & Dennis E. Blumenfeld & Carlos F. Daganzo, 1985. "Distribution Strategies that Minimize Transportation and Inventory Costs," Operations Research, INFORMS, vol. 33(3), pages 469-490, June.
    31. Maria Grazia Speranza & Walter Ukovich, 1994. "Minimizing Transportation and Inventory Costs for Several Products on a Single Link," Operations Research, INFORMS, vol. 42(5), pages 879-894, October.
    32. Awi Federgruen & Paul Zipkin, 1984. "A Combined Vehicle Routing and Inventory Allocation Problem," Operations Research, INFORMS, vol. 32(5), pages 1019-1037, October.
    33. Luca Bertazzi & Maria Grazia Speranza, 2002. "Continuous and Discrete Shipping Strategies for the Single Link Problem," Transportation Science, INFORMS, vol. 36(3), pages 314-325, August.
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