Analysis of three level supply chain of inventory with deterioration for multi-items

Abstract: The objective of this work is to generalize the three echelon supply chain model proposed by Jaber and Goyal (2008) [Jaber, M. Y., & Goyal, S. K. (2008). Coordinating a three-level supply chain with multiple suppliers, a vendor and multiple buyers. International Journal Production Economics, 116, 95-103.] for multi-items where single item was considered in production and distribution. This paper develops the coordination amongst different parties in a three-echelon supply chain with a centralized decision process. Producer, suppliers and retailers are the parties of the supply chain where multiple suppliers deliver various types of raw materials to a producer; producer produces different types of items, multi-items, in different units of the factory and supplies the items to multiple retailers. Different deterioration rates for finished items and raw materials are also considered. The model developed of this paper guarantees that the local costs for the members either remain the same as before coordination, or decrease as a result of coordination. A numerical example along with graphical illustrations is considered and the sensitivity analysis is provided to test the feasibility of the proposed model.

How to cite this paper

 Singh, N., Vaish, B & Singh, S. (2014). Analysis of three level supply chain of inventory with deterioration for multi-items.International Journal of Industrial Engineering Computations , 5(3), 417-430.

Refrences

Aliabadi, D. E., Kaazemi, A. & Pourghannad, B. (2013). A two-level GA to solve an integrated multi-item supplier selection model. Applied Mathematics and Computation, 219(14), 7600–7615.

Clark, A. J., & Scarf, H. (1960). Optimal policies for a multi echelon inventory problem. Management Science, 6, 475–490.

Chui, Y. S., Huang, C. C., Wu, M. F. & Chang, H. H. (2013). Joint determination of rotation cycle time and number of shipments for a multi-item EPQ model with random defective rate. Economic Modelling, 35, 112–117.

Goyal, S. K., & Gupta, Y.P. (1989). Integrated inventory models: The buyer–vendor coordination. European Journal of Operational Research, 41(3), 261–269.

Goyal, S. K., & Gunasekaran, A. (1995). An integrated production–inventory–marketing model
for deteriorating items. Computers and Industrial Engineering, 28, 755–762.

Ganeshan, R. (1999). Managing supply chain inventories: a multiple retailer, one warehouse, multiple supplier models. International Journal of Production Economics, 59, 341–354.

Goyal, S. K. (2000). On improving the single-vendor single-buyer integrated production inventory model with a generalized policy. European Journal of Operational Research, 125 (2), 429–430.

Hill, R. M. (1997). The single-vendor single-buyer integrated production–inventory model with a generalized policy. European Journal of Operational Research, 97 (3), 493–499.

Hanbali, A. A. & Heijden, M. V. (2013). Interval availability analysis of a two-echelon, multi-item system. European Journal of Operational Research, 228 (1), 494-503.

Jaber, M. Y., Osman, I. H., & Guiffrida, A.L. (2006). Coordinating a three-level supply chain with price discounts, price dependent demand and profit sharing. International Journal of Integrated Supply Management, 2 (1–2), 28–48.

Jaber, M. Y., & Goyal, S. K. (2008). Coordinating a three-level supply chain with multiple suppliers, a vendor and multiple buyers. International Journal of Production Economics, 116, 95-103.

Jain, R. & Singh, S. R. (2011). Inflation implication on an inventory with expiration date, capital constraint and uncertain lead time in a multi-echelon supply chain. International Journal of Procurement Management, 4 (4), 419-432.

Singh, S. R., Kumar, N. & Kumari, R. (2012). Three echelon supply chain inventory model for deteriorating items with storage facility and lead time under inflation. International Journal of Services and Operations Management, 13 (1), 98-118.

Lenard, J. D. & Roy, B. (1995). Multi-item inventory control: A multi criteria view, European Journal of Operational Research, 87, 685-692.

Ben-Daya, M. & Raouf, A. (1993). On the constrained multi-item single-period inventory problem. International journal of Production Management, 13, 104-112.

Munson, C. L. & Rosenblatt, M. J. (2001). Coordinating a three-level supply chain with quantity discounts. IIE Transactions, 33 (5), 371–384.

Pal, B., Sana, S. S. & Chaudhari, K. S. (2012). A three layer multi-item production–inventory model for multiple suppliers and retailers. Economic Modelling, 29(6), 2704–2710.

Rosenblatt, M. J. (1981). Multi-item inventory system with budgetary constraint: A comparison between the Lagrangian and the fixed cycle approach. International Journal of Production Research, 19(4), 331-339.

Sadjadi, S. J., Yazdian, S. A. & Shahanaghi, K. (2012). Optimal pricing, lot-sizing and marketing planning in a capacitated and imperfect production system. Computers & Industrial Engineering, 62(1), 349–358.

Thomas, D. J. & Grifin, P. J. (1996). Coordinated supply chain management. European Journal of Operational Research, 94, 1–15.

Viswanathan, S. & Wang, Q. (2003). Discount pricing decisions in distribution channels with price-sensitive demand. European Journal of Operational Research, 149 (3), 571–587.

Tsao, Y. C. & Sheen, G. J. (2012). A multi-item supply chain with credit periods and weight freight cost discounts. International Journal of Production Economics, 135(1), 106–115.