持有成本和变质率时变的非立即变质品库存策略

doi:10.16381/j.cnki.issn1003-207x.2015.08.014

中国管理科学 ›› 2015, Vol. 23 ›› Issue (8): 122-131.doi: 10.16381/j.cnki.issn1003-207x.2015.08.014

持有成本和变质率时变的非立即变质品库存策略

李贵萍¹, 段永瑞², 霍佳震², 熊德平¹

1. 宁波大学商学院, 浙江宁波 315211;
2. 同济大学经济与管理学院, 上海 200092

收稿日期:2013-05-21 修回日期:2014-09-15 出版日期:2015-08-20 发布日期:2015-08-19
作者简介:李贵萍(1988-),女(汉族),山西人,宁波大学商学院博士,讲师,研究方向:库存与供应链管理.
基金资助:
国家自然科学基金项目(71371139, 51408321, 71402075);宁波大学人文社会科学培育项目(XPYB14006);宁波大学学科项目(XKW14D2005);上海市曙光人才计划项目(13SG24)

Inventory Policy for Non-instantaneously Deteriorating Items with Time-varying Holding Cost and Deterioration Rate

LI Gui-ping¹, DUAN Yong-rui², HUO Jia-zhen², XIONG De-ping¹

1. Business School, Ningbo University, Ningbo Zhengjiang 315211, China;
2. School of Economics and Management, Tongji University, Shanghai 200092, China

Received:2013-05-21 Revised:2014-09-15 Online:2015-08-20 Published:2015-08-19

摘要/Abstract

摘要： 本文主要研究非立即变质品的库存策略设计问题。以平均利润最大化为决策目标,构建了一个一般化的库存模型,假设需求受即时库存水平影响且在保鲜期和变质期内库存水平对需求的影响系数不同,持有成本和变质期内的变质率均随时间发生变化,系统允许缺货且短缺量部分延迟订购。进一步证明了当参数满足一定条件时,模型存在唯一的最优解。最后,采用牛顿法给出一些具体的数值算例,并对模型中主要参数的灵敏度进行了分析。结果显示:延长物品的保鲜期将有助于增加系统的平均利润;增加变质期内的需求比增加保鲜期内的需求更有利于增加系统的平均利润;对于变质率高的产品来说,其变质处理成本对最优策略和平均利润的影响不容忽视。此外,本文所构建的模型具有一般性,因此,其应用范围更加广泛。

关键词: 非立即变质品, 需求依赖于库存水平, 时变持有成本, 部分延迟订购

Abstract: This paper aims to investigate the inventory policy for non-instantaneously deteriorating items. A generalized inventory replenishment model is formulated by maximizing the average profit of the system. In the model, it is assumed that the demand rate is influenced by the instantaneous inventory level with different influence coefficients in the deterioration period and non-deterioration period, the deterioration rate in the deterioration period and the holding cost are time-varying, shortage is allowed and the unmet demand is partially backlogged in the shortage period. The sufficient condition for the existence of the unique optimal solution to the model is presented. Finally, some numerical examples and the sensitivity analyses on the main parameters are given using the Newton's method. The results indicate that, to prolong the non-deterioration period of items will be helpful to the increase of the system's average profit. The increase of the demand in the deterioration period is more beneficial to the increase of the system's average profit than that in the non-deterioration period. For deteriorating items with high deterioration rate, the influence of the disposal cost of the deterioration items on the optimal policy and the average profit is significant. Besides, the model formulated in this paper is generalized, so it has a wide range of application.

Key words: non-instantaneously deteriorating item, stock dependent demand rate, time-varying holding cost, partially backlogging

中图分类号:

F253.4

李贵萍, 段永瑞, 霍佳震, 熊德平. 持有成本和变质率时变的非立即变质品库存策略[J]. 中国管理科学, 2015, 23(8): 122-131.

LI Gui-ping, DUAN Yong-rui, HUO Jia-zhen, XIONG De-ping. Inventory Policy for Non-instantaneously Deteriorating Items with Time-varying Holding Cost and Deterioration Rate[J]. Chinese Journal of Management Science, 2015, 23(8): 122-131.

参考文献

[1] Goyal S K, Giri B C. Recent trends in modeling of deteriorating inventory [J]. European Journal of Operational Research, 2001, 134(1): 1-16.

[2] Bakker M, Riezebos J, Teunter R H. Review of inventory systems with deterioration since 2001 [J]. European Journal of Operational Research, 2012, 221(2): 275-284.

[3] Ghare P M, Schrader G F. A model for an exponentially decaying inventory [J]. Journal of Industrial Engineering, 1963, 14: 238-243.

[4] Covert R P, Philip G C. An EOQ model for items with Weibull distribution deterioration [J]. AIIE Transactions, 1973, 5(4): 323-326.

[5] Philip G C. A generalized EOQ model for items with Weibull distribution deterioration [J]. AIIE Transactions, 1974, 6(2): 159-162.

[6] Tadikamalla P R. An EOQ inventory model for items with gamma distribution [J]. AIIE Transactions,1978, 10(1): 100-103.

[7] Begum R, Sahoo R R, Sahu S K. A replenishment policy for items with price-dependent demand, time-proportional deterioration and no shortages [J]. International Journal of System Science, 2012, 43(5): 903-910.

[8] Sarkar B. An EOQ model with delay in payments and time varying deterioration rate [J]. Mathematical and Computer Modelling, 2012, 218(17): 8295-8308.

[9] Ahmed M A, Al-Khamis T A, Benkherouf L. Inventory models with ramp type demand rate, partial backlogging and general deterioration rate [J]. Applied Mathematics and Computation, 2013, 219(9): 4288-4307.

[10] Wu Kunshan, 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(2): 369-384.

[11] Chang Chuntao, Teng J T, Goyal S K. Optimal replenishment policies for non-instantaneous deteriorating items with stock-dependent demand [J]. International Journal of Production Economics 2010, 123(1): 62-68.

[12] 闵杰, 周永务. 存货影响销售率的非立即变质物品的库存模型[J]. 系统工程学报, 2009, 24(2): 198-204.

[13] Ouyang L Y, Wu Kunshan, 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] Musa A, Sani B. Inventory ordering policies of delayed deteriorating items under permissible delay in payments [J]. International Journal of Production Economics, 2012, 136(1): 75-83.

[15] Maihami R, Abadi N K. Joint control of inventory and its pricing for non-instantaneously deteriorating items under permissible delay in payments and partial backlogging[J]. Mathematical and Computer Modelling, 2012, 55(5-6): 1722-1733.

[16] Maihami R, Kamalabadi I N. Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand [J]. International Journal of Production Economics, 2012, 136(1): 116-122.

[17] Shah N H, Soni H N, Patel K A. Optimizing inventory and marketing policy for non-instantaneous deteriorating items with generalized type deterioration and holding cost rates [J]. Omega, 2013, 41(2): 421-430.

[18] Dye C Y. The effect of preservation technology investment on a non-instantaneous deteriorating inventory model [J]. Omega, 2013, 41(5): 872-880.

[19] Alfares H K. Inventory model with stock-level dependent demand rate and variable holding cost [J]. International Journal of Production Economics, 2007, 108(1-2):259-65.

[20] Pando V, García-Lagunaa J, San-José L A, et al. Maximizing profits in an inventory model with both demand rate and holding cost per unit time dependent on the stock level [J]. Computers and Industrial Engineering, 2012, 62(2): 599-608.

[21] Roy A. An inventory model for deteriorating items with price dependent demand and time-varying holding cost [J]. Advanced Modeling and Optimization, 2008, 10(1): 25-37.

[22] Abad P L. Optimal pricing and lot-sizing under conditions of perishability and partial backlogging [J]. Management Science, 1996, 42(8): 1039-1104.

持有成本和变质率时变的非立即变质品库存策略

Inventory Policy for Non-instantaneously Deteriorating Items with Time-varying Holding Cost and Deterioration Rate

PDF (PC)

可视化

被引次数

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	黄帝, 周泓. 考虑不同回收质量等级的再制造系统回收生产决策[J]. 中国管理科学, 2018, 26(10): 102-112.
[2]	陈静, 陈敬贤, 魏航. 规避农副产品原材料产出不确定风险的商业保险策略[J]. 中国管理科学, 2018, 26(6): 39-50.
[3]	李四杰, 邵灵芝. 考虑消费者策略行为的供应商产品升级策略[J]. 中国管理科学, 2018, 26(4): 1-10.
[4]	孟丽君, 黄祖庆, 张宝友, 杨玉香. 基于OEM与IR竞争的产品差异定价研究[J]. 中国管理科学, 2017, 25(11): 111-121.
[5]	贾舒娴, 黄健柏, 钟美瑞. 生态文明体制构建下的金属矿产开发生态补偿利益均衡研究[J]. 中国管理科学, 2017, 25(11): 122-133.
[6]	支帮东, 陈俊霖, 刘晓红. 碳限额与交易机制下基于成本共担契约的两级供应链协调策略[J]. 中国管理科学, 2017, 25(7): 48-56.
[7]	周继祥, 王勇. 第三方物流参与管理企业采购模型研究[J]. 中国管理科学, 2017, 25(3): 121-129.
[8]	张福安, 达庆利, 公彦德. 考虑双向主导相异的闭环供应链物流策略与补贴机制研究[J]. 中国管理科学, 2016, 24(10): 44-51.
[9]	邱若臻, 苑红涛, 黄小原. 基于似然估计的零售商库存鲁棒均值-风险模型[J]. 中国管理科学, 2016, 24(8): 123-131.
[10]	白世贞, 徐娜. 基于不同支付方式的线上企业库存与定价策略研究[J]. 中国管理科学, 2016, 24(7): 92-100.
[11]	黄帝, 陈剑, 周泓. 配额——交易机制下动态批量生产和减排投资策略研究[J]. 中国管理科学, 2016, 24(4): 129-137.
[12]	邵婧. 两层级分散决策供应链库存转运问题研究[J]. 中国管理科学, 2016, 24(1): 76-81.
[13]	杨光勇, 计国君. 基于战略顾客行为的进入威慑策略研究[J]. 中国管理科学, 2015, 23(11): 153-162.
[14]	史成东, 闫秀霞, 闫厚强, 路洪斌. Loss-averse测度下考虑政府补贴的双第三方回收再制造闭环供应链[J]. 中国管理科学, 2015, 23(7): 152-158.
[15]	陈敬贤, 孟庆峰. 应对突发事件的库存共享策略[J]. 中国管理科学, 2015, 23(5): 65-72.