Order Allocation Model Considering Transportation Alternatives and Lateral Transhipment

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Ashylla Maharani
Cucuk Nur Rosyidi
Pringgo Widyo Laksono


optimization model, order allocation, lateral transshipment, MILP, carrier selection


Intense competition among companies encourages them to provide the best quality of products in competitive price. It is important for company to manage supply chain properly in order to achieve that. Selecting the best reliable supplier is the key to reduce purchasing cost, increase customer satisfaction and improve the competitive ability. In this study, we develop an order allocation model in multi echelon environment which includes supplier, manufacturer, and retailer. We consider transportation alternatives for the shipment from supplier to manufacturer and also the shipment from manufacturer to retailer. This model allows lateral transshipment between retailers.  A Mixed Integer Linear Programming (MILP) is used to model the system. Sensitivity analysis is conducted at the end of the research. The result shows that the retailer demand, lead time, material variable price are sensitive to the objective function while the transportation costs from supplier to manufacturer, from manufacturer to retailers, and between retailers are not sensitive to the objective function. Retailer demand parameter is also sensitive to all decision variables. The transportation cost from supplier to manufacturer, material prices, and lead time are sensitive to the order allocation from manufacturer to supplier, while transportation cost from manufacturer to retailers and transportation cost between retailers are sensitive to the allocation of product sent from the manufacturer to retailers and the allocation of product sent between retailers.


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[1] J. Heizer, et al. Operations management: sustainability and supply chain management, 12/e. Pearson Education, 2017.

[2] D. Blanchard, Supply chain management best practices. John Wiley & Sons, 2021. https://doi.org/10.1002/9781119738275.

[3] V. Jain, et al. "Supplier selection using fuzzy AHP and TOPSIS: a case study in the Indian automotive industry." Neural computing and applications, vol. 29, no. 7, pp. 555-564, 2018. https://doi.org/10.1007/s00521-016-2533-z.

[4] A. Wetzstein, E. Hartmann, W.C. Benton Jr, and N.O. Hohenstein, “A systematic assessment of supplier selection literature–state-of-the-art and future scope.” Int. J. Prod. Econ., vol. 182, pp. 304-323, 2016. https://doi.org/10.1016/j.ijpe.2016.06.022.

[5] A. Arabsheybani, M.M. Paydar, and A.S. Safaei, "An integrated fuzzy MOORA method and FMEA technique for sustainable supplier selection considering quantity discounts and supplier's risk." J. Clean. Prod., vol. 190, pp. 577-591, 2018. https://doi.org/10.1016/j.jclepro.2018.04.167.

[6] A.N. Mishra, S. Devaraj, and G. Vaidyanathan, "Capability hierarchy in electronic procurement and procurement process performance: An empirical analysis." J. Oper. Manag., vol. 31, no.6, pp. 376-390, 2013. https://doi.org/10.1016/j.jom.2013.07.011.

[7] G. Basa, T. Becker, and A. Kedir, "Single Item Supplier Selection and Order Allocation Problem with a Quantity Discount and Transportation Costs." Momona Ethiop. J. Sci., vol. 12, no. 1, pp. 20-38, 2020. https://doi.org/10.4314/mejs.v12i1.2.

[8] S. Aouadni, I. Aouadni, and A. Rebaï, "A systematic review on supplier selection and order allocation problems." J. Ind. Eng. Int., vol. 15, no.1, pp. 267-289, 2019. https://doi.org/10.1007/s40092-019-00334-y.

[9] A.F. Guneri, A. Yucel, and G. Ayyildiz, "An integrated fuzzy-lp approach for a supplier selection problem in supply chain management," Expert Syst. Appl., vol. 36, no. 5, pp. 9223-9228, 2009. https://doi.org/10.1016/j.eswa.2008.12.021.

[10] A. Amindoust, S. Ahmed, and A. Saghafinia, "Supplier selection and order allocation scenarios in supply chain: A review." Eng. Manag. Rev. (EMR) vol. 2, no. 3, pp. 75-80, 2013.

[11] M.J. Songhori, M. Tavana, A. Azadeh, and M.H. Khakbaz, “A supplier selection and order allocation model with multiple transportation alternatives,” Int. J. Adv. Manuf. Technol., vol. 52, no.1, pp. 365-376, 2011. https://doi.org/10.1007/s00170-010-2697-0.

[12] S. PrasannaVenkatesan and M. Goh, “Multi-objective supplier selection and order allocation under disruption risk.” Transp. Res. E: Logist. Transp. Rev, vol. 95, pp. 124-142, 2016. https://doi.org/10.1016/j.tre.2016.09.005.

[13] P.N. Shalke, M.M. Paydar, and M. Hajiaghaei-Keshteli. "Sustainable supplier selection and order allocation through quantity discounts," Int. J. Manag. Sci. Eng. Manag., vol. 13, no. 1, pp. 20-32, 2018. https://doi.org/10.1080/17509653.2016.1269246.

[14] Rodrigue, J. P. The Geography of Transport Systems. Routledge, 2020. https://doi.org/10.4324/9780429346323.

[15] S.H. Ghodsypour and C. O’brien. "The total cost of logistics in supplier selection, under conditions of multiple sourcing, multiple criteria and capacity constraint," Int. J. Prod. Econ., vol. 73, no.1, pp. 15-27, 2001. https://doi.org/10.1016/S0925-5273(01)00093-7.

[16] M.M. Nasiri, A. Rahbari, F. Werner, and R. Karimi, "Incorporating supplier selection and order allocation into the vehicle routing and multi-cross-dock scheduling problem." Int. J. Prod. Res., vol. 56, no. 19, pp. 6527-6552, 2018. https://doi.org/10.1080/00207543.2018.1471241.

[17] M. Firoozi, M.Z. Babai, W. Klibi, and Y. Ducq, "Distribution planning for multi-echelon networks considering multiple sourcing and lateral transshipments," Int. J. Prod. Res., vol. 58, no.7, pp. 1968-1986, 2020. https://doi.org/10.1080/00207543.2019.1639841.

[18] C. Paterson, G. Kiesmüller, R. Teunter, and K. Glazebrook, "Inventory models with lateral transshipments: A review." Eur. J. Oper. Res., vol. 210, no.2, pp. 125-136, 2011. https://doi.org/10.1016/j.ejor.2010.05.048.

[19] J. Zhi and B.B. Keskin, “A multi-product production/distribution system design problem with direct shipments and lateral transshipments,” Netw. Spat. Econ., vol. 18, no. 4, pp. 937-972, 2018. https://doi.org/10.1007/s11067-018-9436-8.

[20] C. Pichery, C. “Sensitivity Analysis,” Encyclopedia of Toxicology, pp. 236-237, 2014. https://doi.org/10.1016/B978-0-12-386454-3.00431-0.