Optimal Order Policy for Deteriorating Items Under the Conditions of Two-warehouse, Delay in Payments and Cash Discounts

doi:10.12005/orms.2016.0058

Operations Research and Management Science ›› 2017, Vol. 26 ›› Issue (3): 63-71.DOI: 10.12005/orms.2016.0058

• Theory Analysis and Methodology Study • Previous Articles Next Articles

Optimal Order Policy for Deteriorating Items Under the Conditions of Two-warehouse, Delay in Payments and Cash Discounts

LIU Ji-qiong^1,2, YANG Ai-feng³, FENG Shuai², ZHANG Xue-mei^1,2

1.School of Business, FuYang Normal College, Fuyang 236037, China;
2.Anhui Provincial Key Laboratory of Regional Logistics Planning and Modern Logistics Engineering, Fuyang 236037, China,
3.School of Management, Hefei University of Technologh, Hefei 230009,China

Online:2017-03-25

两货栈及延期支付和现金折扣情形下变质产品的最优订货策略

刘冀琼^1,2, 杨爱峰³, 冯帅^1,2, 张雪梅^1,2

1.阜阳师范学院商学院,安徽阜阳 236037;
2.区域物流规划与现代物流工程安徽省重点实验室,安徽阜阳 236037;
3.合肥工业大学管理学院,安徽合肥 230009

作者简介:刘冀琼(1984-),女,硕士,讲师,主要研究方向为供应链管理、服务营销;冯帅(1983-),男,硕士,讲师,主要研究方向为供应链管理、服务营销。
基金资助:
国家自然科学基金资助项目(71201034);安徽省高校人文社会科学研究重大/重点项目(SK2016SD46、SK2016A0694);安徽省自然科学研究一般项目(2014KJ007);国家级大学生创新创业训练项目(201410371008)

Abstract

Abstract: The existed two-warehouse inventory models usually do not consider combining permissible delay in payments and the cash discount. However, in fact, while the suppliers provide the vendors a permissible delay in payments, the cash discounts policy will be also carried out to encourage the vendors paying off as soon as possible. It would accelerate the suppliers’cash flows and reduce bad debt losses. Therefore, under the situation of combining policies of permissible delay in payments and the cash discount, a new two-warehouse inventory model for deteriorating items is developed. Then we provide theoretical analysis of the optimal solutions and the solving step to find the optimal order policy and the optimal timing of payments. Finally, numerical examples and sensitive analysis of parameters are presented to illustrate the developed model.

Key words: two-warehouse, permissible delay in payments, cash discount, deteriorating items

摘要： 已有的两货栈库存模型通常不考虑将延期支付和现金折扣相结合的情形,但实际上,供应商在给予销售商延期支付政策的同时,也会实施现金折扣策略以激励销售商尽快付款,加快资金周转,减少坏账损失。为此,本文建立了延期支付和现金折扣情形下变质产品的两货栈库存模型,并对模型的最优解进行理论分析,给出了最优解的求解步骤。最后通过数值算例对模型的可行性进行了验证,并分析了模型参数变化对最优订货策略和最优付款时间的影响。

关键词: 两货栈, 延期支付, 现金折扣, 变质产品

CLC Number:

O227

LIU Ji-qiong, YANG Ai-feng, FENG Shuai, ZHANG Xue-mei. Optimal Order Policy for Deteriorating Items Under the Conditions of Two-warehouse, Delay in Payments and Cash Discounts[J]. Operations Research and Management Science, 2017, 26(3): 63-71.

刘冀琼, 杨爱峰, 冯帅, 张雪梅. 两货栈及延期支付和现金折扣情形下变质产品的最优订货策略[J]. 运筹与管理, 2017, 26(3): 63-71.

References

[1] Nahmias S. Perishable inventory theory: a review[J]. Operations Research, 1982, (30): 680-708.
[2] Raffat F. Survey of literature on continuously deteriorating inventory model[J]. European Journal of Operational Research Society,1991, (42): 27-37.
[3] Goyal S K, Giri B C. Recent trends in modeling of deteriorating inventory[J]. European Journal of Operational Research, 2001, (134): 1-16.
[4] Wu K S, Ouyang L Y, Yang C T. An optimal replenishment policy for non-instantaneous deteriorating items with stock dependent demand and partial backlogging[J]. International Journal of Production Economics, 2006, (101): 369-384.
[5] 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): 637-651.
[6] Hartely V R. Operarions research-a managerial emphasis[M]. Santa Monica, CA: Good Year, 1976. 315-317.
[7] Yang H L. Two-warehouse inventory models for deteriorating items with shortages under inflation[J]. European Journal of Operational Research, 2004, (157): 344-356.
[8] Yang H L. Two-warehouse partial backlogging inventory models for deteriorating items under inflation[J]. International Journal of Production Economics, 2006, (103): 362-370.
[9] Rong M, Mahapatra N K, Maiti M. A two warehouse inventory model for a deteriorating item with partially/fully backlogged shortage and fuzzy lead time[J]. European Journal of Operational Research, 2008, (189): 59-75.
[10] Dey J K. Shyamal kumar mondal, manoranjan maiti. two storage inventory problem with dynamic demand and interval valued lead-time over finite time horizon under inflation and time-value of money[J]. European Journal of Operational Research, 2008, (185): 170-194.
[11] 闵杰,常浩.两货栈及允许延期付款情形下变质性物品的最优订货策略[J].系统工程理论与实践,2009,29(3):90-99.
[12] Hui-Ling Yang, Chun-Tao Chang. A two-warehouse partial backlogging inventory model for deteriorating items with permissible delay in payment under inflation[J]. Applied Mathematical Modelling, 2013, (37): 2717-2726.
[13] Yanlai Liang, Fangming Zhou. A two-warehouse inventory model for deteriorating items under conditionally permissible delay in payment[J]. Applied Mathematical Modelling, 2011, (35): 2221-2231.
[14] 杨爱峰,杨晓琴,胡小建.基于两货栈和延期支付的销售商最优订货和支付策略[J].合肥工业大学学报(自然科学版),2013,36(2):236-242.
[15] 刘冀琼,杨爱峰,冯帅.基于延期支付的供应链协调模型研究[J].合肥工业大学学报(自然科学版),2010,33(11):1702-1706.
[16] Chang C T, Wu S J, Chen L C. Optimal payment time with deteriorating items under inflation and permissible delay in payments[J]. International Journal of Systems Science, 2009, (40): 985-993.
[17] 何伟,徐福缘.货架和仓库商品共同影响需求的供应链延期支付协调[J].大学数学,2014,30(2):34-42.
[18] 梁培培,黄国华,孙延明.需求率基于库存的变质物品的两货栈模型[J].运筹与管理,2013,22(2):201-242.
[19] 闵杰,徐小明,张家精.等级信用支付策略下变质性产品的库存优化模型[J].运筹与管理,2014,23(6):29-36.
[20] 李明芳,王道平,李锋.基于现金折扣和延期支付条件下变质产品的补货策略[J].管理评论,2011,23(4):122-128.

Optimal Order Policy for Deteriorating Items Under the Conditions of Two-warehouse, Delay in Payments and Cash Discounts

两货栈及延期支付和现金折扣情形下变质产品的最优订货策略

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