In the traditional manufacture-customer supply-demand joint model, it is assumed that the lead time belongs to the negative exponential distribution in the time interval [0, ∞) and it only related to the customer. But in the real condition, the manufacturer generally plays an more important role than the customer in the supply chain, especially in the vendor-centralized supply chain. The manufacturer controls the operation of the supply chain and thus easily decides the behavior of the lead time. In this paper, it is assumed that the lead time belongs to the uniform distribution and the time interval of the lead time is decided by both the manufacturer and the customer in the supply chain. The lead time based joint inventory optimization model in the supply chain environment is established by combining their independent inventory model together and optimizing the model in the joint environment. The presented optimization method proves that the objective function has the minimum value at optimum order quantity and optimum order times in the lead time condition. The simulation shows that the proposed joint optimization method is always better than the independent optimization method.
LI Qun-xia, MA Feng-cai, ZHANG Qun
. Joint Optimization for Lead-time Supply-demand Inventory in Supply Chain[J]. Chinese Journal of Management Science, 2015
, 23(4)
: 117
-122
.
DOI: 10.16381/j.cnki.issn1003-207x.2015.04.014
[1] Banerjee A. A joint economic lot size model for purchaser and vendor[J]. DecisionSciences, 1986, 17(3):292-311.
[2] Goyal S K A joint economic-lot-size model for purchaser and vendor:Acomment[J]. Decision Sciences, 1988, 19(1):236-241.
[3] Lu Lu.A one-vendor multi-buyer integrated inventory model [J]. European Journal of Operational Research, 1995, 81(2):312-323
[4] Hill R M. The single-vendor single-buyer integrated production-inventory model with a generalized policy [J]. European Journal of Operational Re-search, 1997, 97(3):493-499.
[5] Yang P C, Wee H M. A single-vendor and multiple-buyers production-inventory policy for a deteriorating item [J]. European Journal of Operational Research, 2002, 143(3):570-581.
[6] Hill R M. The optimal production and shipment policy for the single-vendor single-buyer integrated production-inventory model. International Journal of Production Research [J]. 1999, 37(11):2463-2475.
[7] Zhou Yongwu, Wang Shengdong. Optimal production and shipment models for a single-vendor-single-buyer integrated system. European Journal of Operation Research [J]. 2007, 180(1):309-328.
[8] Sarmah S P, Acharya D, Goyal S K. Coordination of a single-manufacturer/multi-buyer supply chain with credit option[J]. International Journal of Production Economics, 2008, 111(2):676-685.
[9] Zahir S, Sarker R. Joint economic ordering policies of multiple wholesalers and a single-manufacturer with price dependent demand functions[J]. Journal of Operational Research Society, 1991, 42:157-164.
[10] Woo Y Y, Hsu S, Wu Soushan. An integrated inventory model for a single vendor and multiple buyers with ordering cost reduction[J]. International Journal of Production Economics, 2001, 73(3):203-215.
[11] Wang Qinan. Determination of Supplier's optimal quantity discount schedules with heterogeneous buyers[J]. Naval Research Logistics, 2002, 49(1):46-59.
[12] Wang P C, Wee H M. A single-vendor and multiple-buyers production-inventory policy for a deteriorating item[J].Production, Manufacturing and Logistics, 2002, 143(3):579-581.
[13] Sana S S. A production-inventory model of imperfect quality products in a three-layer supply chain[J]. Decision Support Systems, 2011, 50(2):539-547.
[14] 李群霞, 张群, 朱晓宁, 等. 缺陷品可完全退货的库存控制模型的研究[J]. 中国管理科学, 2009, 17(6):116-121.
[15] 李群霞, 张群.考虑缺货和缺陷品的模糊生产库存模型的优化求解[J].系统工程理论与实践, 2011, 31(3):480-488.
[16] Chang H C, Ho C H, Ouyang L Y, Su C H. The optimal pricing and ordering policy for an integrated inventory model when trade credit linked to order quantity[J]. Applied mathematical modelling, 2009, 33(7):2978-2991.
[17] Mahata G C. An EPQ-based inventory model for exponentially deteriorating items under retailer partial trade credit policy in supply chain[J].Expert Systems with Applications, 2012, 39(3):3537-3550.
[18] Sajadieh M S, Jokar M R A, Modarres M. Developing a coordinated vendor-buyer model in two-stage supply chains with stochastic lead-times[J]. Computers & operations research, 2009, 36(8):2484-2489.