Abstract
Vendor-managed inventory is a coordinated system where a vendor decides about the retailer’s replenishment quantity and time. This work studies a two-echelon distribution work composed of multiple vendors and retailers in traditional and vendor-managed inventory systems where unsatisfied demands are lost sales. We also consider that the retailers’ demand is stochastic following a uniform distribution. The mathematical models are developed and applied in vendor-managed inventory and traditional systems. Under the traditional supply chain, the vendor incurs the cost of holding and production setup, while a retailer incurs expenses for inventory holding, ordering, transportation and lost sales. In a vendor-managed inventory system, as the vendor is responsible for his retailers, the retailer’s costs are transferred to the vendor. We aim to identify benefits of vendor-managed inventory. The total cost per unit time is used as a comparable measure between vendor-managed inventory and traditional systems. Numerical examples and a sensitivity analysis of key parameters include the vendor’s setup cost and holding cost; the retailer’s transportation and ordering costs are presented in both vendor-managed inventory and traditional systems. The results illustrate that vendor-managed inventory total system inventory cost is lower than a traditional system where shortage is allowed.
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References
Angulo, A., Nachtmann, H., & Waller, M. A. (2004). Supply chain information sharing in a vendor managed inventory partnership. Journal of Business Logistics, 25(1), 101–20.
Ata, A. T., Seyed, T. A. N., Nima, S., Ramak, G. M., & Armin, J. (2010). A particle swarm optimization approach for constraint joint single buyer-single vendor inventory problem with changeable lead time and (r, Q) policy in supply chain. International Journal of Advanced Manufacture Technology, 51, 1209–1223.
Babak, G.-J., Bruce, C.-S., & Rasoul, H. (2004). A multi-product continuous review inventory system with stochastic demand, backorders, and a budget constraint. European Journal of Operational Research, 158, 456–469.
Ben-Daya, M., & Hariga, M. (2004). Integrated single vendor single buyer model with stochastic demand and variable lead time. International Journal of Production Economics, 92, 75–80.
Borade, A. B., Kannan, G., & Bansod, S. V. (2013). Analytical hierarchy process-based framework for VMI adoption. International Journal of Production Research, 51(4), 963–978.
Cachon, G., & Fisher, M. (2000). Supply chain inventory management and the value of shared information. Management Science, 46, 1032–1048.
Diabat, A. (2014). Hybrid algorithm for a vendor managed inventory system in a two-echelon supply chain. European Journal of Operational Research, 238(1), 114–121.
Diabat, A., Abdallah, T., & Henschel, A. (2015). A closed-loop location-inventory problem with spare parts consideration. Computers & Operations Research, 54, 245–256.
Diabat, A., Abdallah, T. & Le, T. (2014). A hybrid tabu search based heuristic for the periodic distribution inventory problem with perishable goods. Annals of Operations Research. doi:10.1007/s10479-014-1640-4.
Diabat, A., & Al-Salem, M. (2015). An integrated supply chain problem with environmental considerations. International Journal of Production Economics, 164, 330–338.
Diabat, A., Aouam, T., & Ozsen, L. (2009). An evolutionary programming approach for solving the capacitated facility location problem with risk pooling. International Journal of Applied Decision Sciences, 2(4), 389–405.
Diabat, A., Battaïa, O., & Nazzal, D. (2015). An improved Lagrangian relaxation-based heuristic for a joint location-inventory problem. Computers & Operations Research, 61, 170–178.
Diabat, A., & Richard, J. P. P. (2015). An integrated supply chain problem: A nested lagrangian relaxation approach. Annals of Operations Research, 229(1), 303–323.
Diabat, A., & Theodorou, E. (2015). A location-inventory supply chain problem: Reformulation and piecewise linearization. Computers & Industrial Engineering. doi:10.1016/j.cie.2015.05.021.
Darwish, M. A., & Odah, O. M. (2010). Vendor managed inventory model for single-vendor multi-retailer supply chains. European Journal of Operational Research, 201, 473–484.
Fox, M. L. (1996). Integrating vendor-managed inventory into supply chain decision-making. In APICS 39th international conference proceedings, New Orleans, pp. 126–128.
Govindan, K. (2013). Vendor-managed inventory: A review based on dimensions. International Journal of Production Research, 51(13), 3808–3835.
Govindan, K. (2015). The optimal replenishment policy for time-varying stochastic demand under vendor managed inventory. European Journal of Operational Research, 242(2), 402–423.
Govindan, K., & Fattahi, M. (2015) Investigating risk and robustness measures for supply chain network design under demand uncertainty: A case study of glass supply chain. International Journal of Production Economics. doi:10.1016/j.ijpe.2015.09.033.
Hu, W., Li, Y., & Govindan, K. (2014). The impact of consumer returns policies on consignment contracts with inventory control. European Journal of Operational Research, 233(2), 398–407.
Jarfar, R., Reza, H. R., & Mohamed, S. S. (2010). Developing a two-echelon on mathematical model for a vendor-managed inventory (VMI) system. International Journal of Advanced Manufacture Technology, 48, 773–783.
Javad, S., Seyed, M. M., Seyed, T. A. N., & Saeid, S. (2013). Optimizing a multi-vendor multi-retailer vendor managed inventory problem: Two tuned meta-heuristic algorithms. Knowledge-Based Systems, 50, 159–170.
Jun-Yeon, L., & Richard, K. C. (2014). Contracting for vendor-managed inventory with consignment stock and stockout-cost sharing. International Journal of Production Economics, 51, 158–173.
Kannan, G., Grigore, M. C., Devika, K., & Senthilkumar, A. (2013). An analysis of the general benefits of a centralised VMI system based on the EOQ model. International Journal of Production Research, 51(1), 172–188.
Le, T., Diabat, A., Richard, J.-P., & Yih, Y. (2013). A column generation-based heuristic algorithm for an inventory routing problem with perishable goods. Optimization Letters, 7(7), 1481–1502.
Mahesh, N., & Sampath, R. (2008). Contracting under vendor managed inventory systems using holding cost subsidies. Production and Operations Management, 17, 200–210.
Rad, R. H., Razmi, J., Sangari, M. S., & Ebrahimi, Z. F. (2014). Optimizing an integrated vendor-managed inventory system for a single-vendor two-buyer supply chain with determining weighting factor for vendor’s ordering cost. International Journal of Production Economics, 153, 295–308.
Seyed, H. R. P., Seyed, T. A. N., & Ali, R. N. (2010). An investigation of vendor-managed inventory application in supply chain: The EOQ model with shortage. International Journal of Advanced Manufacture Technology, 49, 329–339.
Shen, L., Govindan, K., Borade, A. B., Diabat, A., & Kannan, D. (2013). An evaluation of vendor managed inventory practices from small and medium indian enterprises. Journal of Business Economics and Management, 14, S76–S95.
Silver, E. F., Dyke, D. F., & Peterson, R. (1998). Inventory management and production planning and scheduling (3rd ed.). New York: Wiley.
Waller, M., Johnson, M. E., & Davis, T. (1999). Vendor-managed inventory in the retail supply chain. Journal of Business Logistics, 20(1), 183–203.
Yan, D., & Kefeng, X. (2002). A supply chain model of vendor managed inventory. Transportation Research Part E, 38, 75–95.
Yao, Y. L., Evers, P. T., & Dresner, M. E. (2007). Supply chain integration in vendor managed inventory. Decision Support System, 43, 663–674.
Yuliang, Y., Yan, D., & Martin, D. (2010). Managing supply chain backorders under vendor managed inventory: An incentive approach and empirical analysis. European Journal of Operational Research, 203, 350–359.
Acknowledgments
This research was supported in part by National Natural Science Foundation of China (Grant No. 71302005), the major Program of the National Social Science Fund of China (Grant No. 13&ZD147), and Fundamental Research Funds for the Central Universities (Grant No. 2662014BQ048), and Research Project of Department of Education of Hubei Province (Grant No. Q20141803).
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Hong, X., Chunyuan, W., Xu, L. et al. Multiple-vendor, multiple-retailer based vendor-managed inventory. Ann Oper Res 238, 277–297 (2016). https://doi.org/10.1007/s10479-015-2040-0
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DOI: https://doi.org/10.1007/s10479-015-2040-0