Vendor Managed Inventory of a Single-vendor Multiple-retailer Single-warehouse Supply Chain under Stochastic Demands

Document Type : Research Paper

Authors

1 Qazvin Islamic Azad University, Qazvin, Iran

2 Department of Industrial Engineering, Sharif University of Technology, Tehran, Iran

Abstract

In this study, a vendor-managed inventory model is developed for a single-vendor multiple-retailer single-warehouse (SV-MR-SV) supply chain problem based on the economic order quantity in which demands are stochastic and follow a uniform probability distribution. In order to reduce holding costs and to help balanced on-hand inventory cost between the vendor and the retailers, it is assumed that all inventory is held at a central warehouse with the lowest cost among the parties. The capacity of the central warehouse is limited. The objective is to find the warehouse replenishment frequency, the vendor's replenishment frequency, the order points, and the order quantities of the retailers such that the total inventory cost of the integrated supply chain is minimized. The proposed model is a mixed integer nonlinear programming problem (MINLP); hence, a genetic algorithm (GA) is utilized to solve this NP-hard problem. The parameters of the GA are calibrated using the Taguchi method to find better solutions. Some numerical illustrations are solved at the end to demonstrate the applicability of the proposed methodology and to evaluate the performance of the solution method.

Keywords

Main Subjects


Achabal, D.D., Mcintyre, S.H., Smith, S.A., Kalyanam, K. (2000). A decision support system for vendor managed inventory. Journal of Retailing, Vol. 76, pp. 430–454. 
Angulo, A., Nachtmann, H., Waller, M.A. (2004). Supply chain information sharing in a vendor managed inventory partnership. Journal of Business Logistics, Vol. 25, pp. 101–120. 
Bichescu, B. Fry, M. (2009). Vendor-managed inventory and the effect of channel power. OR Spectrum, Vol. 31, pp. 195–228. 
Cachon, G., Fisher, M. (2000). Supply chain inventory management and the value of shared information. Management Science, Vol. 46, pp. 1032–1048. 
Cetinkaya, S., Lee, C. (2000). Stock replenishment and shipment scheduling for vendor-managed inventory systems. Management Science, Vol. 46, pp. 217-232. 
Chaouch, B.A. (2001). Stock levels and delivery rates in vendor-managed inventory programs. Production and Operations Management, Vol. 10, pp. 31–44. 
Cheung, K.L., Lee, H.L. (2002). The inventory benefit of shipment coordination and stock rebalancing in a supply chain. Management Science, Vol. 48, pp. 300–306. 
Coelho, L.C., Cordeau, J.F., Gilbert, L. (2012). Consistency in multi-vehicle inventory-routing. Transportation Research Part C, Vol. 24, pp. 270–287. 
Darwish, M.A., Odah, O.M. (2010). Vendor managed inventory model for single-vendor multi-retailer supply chains. European Journal of Operational Research, Vol. 204, pp. 473–484.
Disney, S.M., Towill, D.R. (2002). A procedure for the optimization of the dynamic response of a vendor managed inventory system. Computers & Industrial Engineering, Vol. 43, pp. 27–58. 
Dong, Y., Xu, K. (2002). A supply chain model of vendor managed inventory. Transportation Research Part E: Logistics and Transportation Review, vol. 38, pp. 75–95. 
Fry, M.J., Kapuscinski, R., Olsen, T.L. (2001). Coordinating production and delivery under a (z,Z)-type vendor-managed inventory contract. Manufacturing and Service Operations Management, Vol. 3, pp. 151–173.  
Holland J. (1962). Outline for a logical theory of adaptive systems. Journal of the Association of Computing Machinery, Vol. 3, pp. 297-314. 
Liao, S.H., Hsieh, C.L., Lai, P.J. (2011). An evolutionary approach for multi-objective optimization of the integrated location–inventory distribution network problem in vendor-managed inventory. Expert Systems with Applications, Vol. 38, pp. 6768–6776. 
Nachiappan, S.P., Jawahar, N. (2007). A genetic algorithm for optimal operating parameters of VMI system in a two-echelon supply chain. European Journal of Operational Research, Vol. 182, pp. 1433–1452. 
Naderi, B., Zandieh, M., Roshanaei, V. (2009). Scheduling hybrid flowshops with sequence dependent setup times to minimize makespan and maximum tardiness. The International Journal of Advanced Manufacturing Technology, Vol. 41, pp. 1186-98. 
Pasandideh, S.H.R., Niaki, S.T.A., Nia, A.R. (2011). A genetic algorithm for vendor managed inventory control system of multi-product multi-constraint economic order quantity model. Expert Systems with Applications, Vol. 38, pp. 2708–2716. 
Rahmati, S.H.A.,   Hajipour, V.,   Niaki, S.T.A. (2013). A soft-computing Pareto-based meta-heuristic algorithm for a multi-objective multi-server facility location problem. Applies Soft Computing, Vol. 13, pp. 1728–1740. 
Sadeghi, J., Mousavi, S.M., Niaki, S.T.A., Sadeghi, S. (2013). Optimizing a multi-vendor multi-retailer vendor managed inventory problem: Two tuned meta-heuristic algorithms. Knowledge-based Systems, Vol. 50, pp. 159–170.
Sadeghi, J., Sadeghi, S., Niaki, S.T.A. (2014). A hybrid vendor managed inventory and redundancy allocation optimization problem in supply chain management: An NSGA-II with tuned parameters. Computers & Operations Research, Vol. 41, pp. 53–64.   
Song, D.-P., Dinwoodie, J. (2008). Quantifying the effectiveness of VMI and integrated inventory management in a supply chain with uncertain lead-times and uncertain demands. Production Planning and Control, Vol. 19, pp. 590–600.
Sue-Ann, G., Ponnambalam, S.G., Jawahar, N. (2012). Evolutionary algorithms for optimal operating parameters of vendor managed inventory systems in a two echelon supply chain. Advances in Engineering Software, Vol. 52, pp. 47–54. 
Taguchi, G. (1993). Taguchi on robust technology development: Bringing quality engineering upstream. New York: ASME Press. 
Taguchi, G., Chowdhury, S., Wu, Y. (2005). Taguchi’s Quality Engineering Handbook, Wiley, New Jersey. 
Yao, Y., Dresner, M. (2008). The inventory value of information sharing, continuous replenishment and vendor-managed inventory. Transportation Research Part E: Logistics and Transportation Review, Vol. 44, pp. 361-378.
Yao, Y., Evers, P.T., Dresner, M.E. (2007). Supply chain integration in vendor-managed inventory. Decision Support Systems, Vol. 43, pp. 663–674.
Zhang, T., Liang, L., Yu, Y., Yu, Y. (2007). An integrated vendor-managed inventory model for a two-echelon system with order cost reduction. International Journal of Production Economics, Vol. 109, pp. 241–253.   
Zhao, Q-H., Cheng, T.C.E. (2009). An analytical study of the modification ability of distribution centers. European Journal of Operational Research, Vol. 194, pp. 901–910.