可控变质率下基于商业信用的易逝品库存优化模型

doi:10.16381/j.cnki.issn1003-207x.2017.12.002

摘要/Abstract

摘要： 论文考虑产品保鲜技术投入对易逝品变质率的影响，并在商业信用支付模式下，探讨了采购商的最优订货策略及技术投入策略。首先，分两种情形构建了采购商的最优库存模型；其次，通过理论推导，求解采购商的最优订货周期、最优订货量及其最优技术投入策略；最后，通过数值分析对文章中的定理结论进行了验证，并对有关参数进行了灵敏度分析。研究发现，当保鲜技术投资对产品变质率有较强影响时，采购商保鲜技术投资较低，最优订货周期延长；当产品的自然变质率增加时，采购商为了降低变质率会增加保鲜技术投资量，总利润会减少；当供应商给予采购商的商业信用期增加时，最优保鲜技术投资量和最优订货周期减小。

关键词: 商业信用, 技术投入, 易逝品, 库存优化

Abstract: Many firms selling the perishable products adopt the trade credit strategy; meanwhile, they employ a certain technology to reduce the deterioration rate of the products. Therefore,in this paper, the affection of the preservation technology investment is considered to the deterioration rate of the perishable goods, to discuss the purchaser's optimal ordering strategy and technology investment strategies in the trade credit payment mode. First of all, according to the trade credit period and the ordering cycle, the relationship between the purchaser's interest income and the interest payments are divided into the two cases.Secondly, by theoretical derivation, the optimal order strategies can be obtained and give out the optimal preservation technology investment strategy is given out. Finally, the theorem and the conclusions of this paper are verified by the numerical analysis, and also make sensitivity analysis of parameters. It is found that, when the preservation technology investment has a strong influence on the deteriorating rate, the purchaser preservation technology investment is low and the optimal order cycle is prolonged; when the natural deteriorating rate of the product increases, the purchaser increases the investment amount of preservation technology in order to reduce the deterioration rate, and its profit decreases; when the credit period given by supplier to procurement business increases, the firm's optimal preservation technology investment amount and order cycle decrease and its profit increases.

Key words: trade credit, technology investment, perishable goods, inventory optimization

中图分类号:

魏广明, 秦娟娟, 王坤, 张茜. 可控变质率下基于商业信用的易逝品库存优化模型[J]. 中国管理科学, 2017, 25(12): 9-16.

WEI Guang-ming, QIN Juan-juan, WANG Kun, ZHANG Xi. Inventory Optimization Model of Perishable Product with Controlled Deterioration Rate under Trade Credit[J]. Chinese Journal of Management Science, 2017, 25(12): 9-16.

参考文献

[1] Fisman R, Love I. Trade credit, financial intermediary development, and industry growth[J]. Journal of Finance, 2003, 58(1):353-374.

[2] Yang S, Brige J. How inventory is (should be) financed:Trade credit in supply chains with demand uncertainty and costs of financial distress[R].Social Science Research Netwrok,2011, http://dx.doi.org/102139/ssrn.1734682.

[3] Goyal SK. Economic order quantity under conditions of permissible delay in payments[J].The Journal of the Operational Research Society, 1985, 36(4):335-338.

[4] Khanra S, Mandal B, Sarkar B. An inventory model with dependent demand and shortages under trade credit policy[J].Economic Modelling, 2013, 35(9):349-355.

[5] Zhong Yuanguang, Zhou Yongwu. Improving the supply chain's performance through trade credit under inventory-dependent demand and limited storage capacity[J].International Journal of Production Economics, 2013, 143(2):364-370.

[6] 赵忠, 王淑云, 李波. 时变需求下基于两级信用支付的易腐品订货模型[J]. 系统管理学报, 2016, 25(1):83-89.

[7] 秦娟娟. 时变供需下基于商业信用的零售商最优订货策略[J]. 中国管理科学, 2016, 24(3):89-98.

[8] Aggarwal S P, Jaggi C K. Ordering policies of deteriorating items under permissible delay in payments[J]. Journal of the Operational Research Society, 1995, 46(5):658-662.

[9] Chu P, Chung K H, Lan S P. Economic order quantity of deteriorating items under conditions of permissible delay in payments[J]. Computer and Operations Research, 1998, 25(10):817-824.

[10] Jamal A M, Sarker B R, Wang S. An ordering policy for deteriorating items with allowable shortage and permissible delay in payment[J]. The Journal of the Operational Research Society, 1997, 48(8):826-833.

[11] Chang H J, Dye C Y. An inventory model for deteriorating items with partial backlogging and permissible delay in payments[J]. International Journal of Systems Science,2001, 32(3):345-352.

[12] Chen L H, Kang F S. Integrated vendor-buyer cooperative inventory models with variant permissible delay in payments[J]. European Journal of Operational Research, 2007, 183(2):658-673.

[13] Ouyang L Y, Wu K S, Yang C T. A study on an inventory model for non-instantaneous deteriorating items with permissible delay in payments[J]. Computers & Industrial Engineering, 2006, 51(4):637-651.

[14] Balkhi Z T. Optimal economic order policy with deteriorating items under different supplier trade credits for finite horizon case[J]. International Journal of Production Economics, 2011, 133(1):216-223.

[15] Liao J J, Huang K N. Deterministic inventory model for deteriorating items with trade credit financing and capacity constraints[J]. Computers & Industrial Engineering, 2010, 59(4):611-618.

[16] Liang Yanlai, Zhou Fangming. A two warehouse inventory model for deteriorating items under conditionally permissible delay in payment[J]. Applied Mathematical Modelling, 2011, 35(5):2221-2231.

[17] Mahata G. 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] Chang C T, Teng J T, Chern M S. Optimal manufacturer's replenishment policies for deteriorating items in a supply chain with up-stream and down-stream trade credits[J]. International Journal of Production Economics, 2010, 127(1):197-202.

[19] Sarkar B, Saren S, Cárdenas-Barrón L E. An inventory model with trade-credit policy and variable deterioration for fixed lifetime products[J]. Annals of Operations Research, 2015, 229(1):677-702.

[20] Mahata G C. Optimal ordering policy with trade credit and variable deterioration for fixed lifetime products[J]. International Journal of Operational Research, 2016, 25(3):307-326.

[21] Teng J T, Cárdenas-Barrón L E, Chang H J, et al. Inventory lot-size policies for deteriorating items with expiration dates and advance payments[J]. Applied Mathematical Modelling, 2016, 40(19):8605-8616.

[22] Yang P C, Wee H M. A collaborative inventory system with permissible delay in payment for deteriorating items[J]. Mathematical and Computer Modeling, 2006,43(3-4):209-221.

[23] Ouyang L Y, Wu K S, Yang C T. A study on an inventory model for non-instantaneous deteriorating items with permissible delay in payments[J]. Computers and Industrial Engineering, 2006, 51(4):637-651.

[24] Hsu P H, Wee H M, Teng H M. Preservation technology investment for deteriorating inventory[J]. International Journal of Production Economics, 2010, 124(2):388-394.

[25] Dye C Y, Hsieh T P. An optimal replenishment policy for deteriorating items with effective investment in Preservation Technology[J].European Journal of Operational Research, 2012, 218(1):106-112.

[26] Hsieh T P, Dye C Y. A production inventory model incorporating the effect of preservation technology investment when demand is fluctuating with time[J]. Journal of Computational and Applied Mathematics, 2013, 239:25-36.

[27] He Yong, Huang Hongfu. Optimizing inventory and pricing policy for seasonal deteriorating products with preservation technology investment[J].Journal of Industrial Engineering,2013, 2013:1-7.