A Production and Distribution Model for a Declining Inventory Item

Abstract: We create an integrated production-distribution model to address a failing two-tier supply chain. The supplier's production batch size is limited to an integer multiple of the discrete delivery lot amount for the buyer. Cost functions for suppliers, buyers, and the complete supply chain have been established. This leads to determining optimal policies for both individuals and the integrated supply chain. We provide a method for making optimum supply chain decisions while minimising overall system costs. Our technique is presented with a numerical example.   

Integrated Supply Chain, Deterioration and Inventory

1. Changyuan Yan, Avijit Banerjee, and Liangbin Yang, An integrated production and distribution model for a degrading inventory item. Int. J. Production Economics, 133 (2011) 228-232. [Google Scholar] [Crossref]

2. Shah, Bhavin J., Shah, Nita H., and Shah, Y. K., 2005. The EOQ model for time-dependent degradation rate includes a temporary price discount. Asia Pacific Journal of Operational Research, Singapore, 22(4), 479. [Google Scholar] [Crossref]

3. Bhunia, A.K., Maiti, M., 1998. A deterministic inventory model for decaying products with finite replenishment based on inventory levels, Computers & Operations Research. New York. 25(11), 997. [Google Scholar] [Crossref]

4. Chakrabarty, T., Giri, B.C., & Chaudhuri, K.S., 1998. An EOQ model for products with Weibull distribution degradation, shortages, and trended demand is an extension of Philip's model, Computers&OperationsResearch.NewYork25 (7-8), 649. [Google Scholar] [Crossref]

5. Chang, H.J., Teng, J.T., Ouyang, L.Y., and Dye, C.Y., 2006. Optimal pricing and lot-sizing strategies for deteriorating products with partial backlog. European Journal of Operational Research, Amsterdam, 168(1), 51. [Google Scholar] [Crossref]

6. Chung, K.J.; Tsai, S.F., 2001. Inventory systems for decaying products with shortages and a linear demand pattern, taking into consideration time value, Computers and Operations Research. New York 28(9), 915. [Google Scholar] [Crossref]

7. Covert, R.P.; Philip, G.C., 1973. An EOQ model for items with Weibull distribution degradation. AIIE Transactions 5, 323. [Google Scholar] [Crossref]

8. Ghare, P.M.; Schrader, S.F., 1963. Journal of Industrial Engineering, 14(5), 238. A model for exponentially decreasing inventory. [Google Scholar] [Crossref]

9. Hariga, Moncer, Al-Alyan, Ali. 1997. A lot sizing heuristic for degrading products with shortages in rising and decreasing markets. Computers & Operations Research. New York, 24(11), 1075. [Google Scholar] [Crossref]

10. Heng, K.J., Labban, J., and Linn, R.L., 1991. An inventory model for degrading products with a finite replenishment rate based on order levels and lot sizes. Computers & Industrial Engineering (20,187). [Google Scholar] [Crossref]

11. Hou, K.L. 2006. An inventory model for decaying products with stock-dependent consumption rates and shortages under inflation and temporal discounting, European Journal of Operational Research. Amsterdam, 168(2), 463. [Google Scholar] [Crossref]

12. Hsu, P.H.,Wee, H.M.,Teng,H.M.,2006. Optimal lot sizes for expiring products. Journal of Information & Optimization Sciences. Delhi 27(2),271. [Google Scholar] [Crossref]

13. Kim, S.L., Ha, D.A. (2003). The JITlot-splitting concept for supply chain management improves buyer-supplier connectivity. International Journal of Production Eco-nomics 86, 1. [Google Scholar] [Crossref]

14. Lo, S. T., Wee, H. M., & Huang, W. C. 2007. An integrated production-inventory model with suboptimal production processes and Weibull distribution deteriorates with inflation, Internationaljournalofproductioneconomics106,493. [Google Scholar] [Crossref]

15. Mak, K. L., 1982. A production lot size inventory model for deteriorating items, Computers & Industrial Engineering 6,309. [Google Scholar] [Crossref]

16. Manna, S.K., Chaudhuri, K.S. 2006. The EOQ model includes ramp-type demand rates, time-dependent degradation rates, and unit production constraints, European Journal of Operational Research. Amsterdam, 171(2), 557. [Google Scholar] [Crossref]

17. Misra, R. B. 1975. Optimal production lot size for a system with degrading inventory. InternationalJournalofProductionResearch15,495. [Google Scholar] [Crossref]

18. Pal, A. K., Bhunia, A. K., and Mukherjee, R. N. (2006). Optimal lot size model for degrading products with demand rate based on displayed stock level (DSL) and partial backordering. European Journal of Operations Research. Amsterdam, 175(2), 977. [Google Scholar] [Crossref]

19. Rau, H., Wu, M.Y., and Wee, H.M., 2003. Integrated inventory model for degrading products in a multi-echelon supply chain setting. International Journal of Production Economics, 86, 155, Shah, Y.K. 1977. An order-level lot-size inventory model for deteriorating items, AIIE Transactions 9,108. [Google Scholar] [Crossref]

20. Tadikamalla, P.R. 1978. An EOQ inventory model for products with gamma-distributed degradation. AIIETransactions10, 100. [Google Scholar] [Crossref]

21. Teng, J. T., and Chang, C. T., 2005. Economic production quantity models for deteriorating products with price and stock-dependent demand. Computers and Operations Research, New York, 32(2), 297. [Google Scholar] [Crossref]

22. Wang, S. P. 2002. An inventory replenishment policy for degrading products with shortages and partial backlog. Computers & Operations Research. New York 29(14), 2043. [Google Scholar] [Crossref]

23. Wee, H.M. 1995. A deterministic inventory model for decaying products, including shortages and a diminishing market. Computers & Operations Research. New York 22(3), 345. [Google Scholar] [Crossref]

24. Wee, H. M., 1993. Economic production lot size model for decaying products, with partial backordering. Computers & Industrial Engineering 24(3), 449. [Google Scholar] [Crossref]

25. Wu, K.S., Ouyang, L.Y., and Yang, C.T., 2006. Optional replenishment policy for non-instant degrading products with stock-dependent demand and partial backlog. International Journal of Production Economics, Amsterdam 101(2), 369. [Google Scholar] [Crossref]

26. Yang, H. L. 2005. A comparison of partial backlogging inventory lot-size models for deteriorating products based on maximum profit. International Journal of Production Economics. Amsterdam, 96(1), 119. [Google Scholar] [Crossref]

27. Yang, P.C., Wee, H.M. (2003). An integrated multi-lot manufacturing inventory model for degrading items. Computers&OperationsResearch30, 671. [Google Scholar] [Crossref]

28. Balkhi, ZaidT. 2004. Lakdere Benkherouf. An inventory model for degrading products with variable demand rates over time. Computers & Operations Research. New York 31(2), 223. [Google Scholar] [Crossref]

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