摘要
以往对于库存水平影响需求的研究主要是在假设零售商对于风险保持中立态度的基础之上开展的,而对于商品需求依赖于库存水平且零售商为风险规避型决策者的最优订货决策等相关问题未做深入探讨。本文针对需求依赖于库存水平下的风险规避型零售商的最优订货决策问题,将CVaR准则作为引入零售商风险规避系数的方法,结合需求为库存水平的幂函数形式,给出了有无缺货惩罚成本下的最优订货决策及其满足的条件,并进一步分析发现需求函数中的参数和最优订货量均呈正相关,而零售商的风险规避程度越大,最优订货量则越小。
Previous literature on inventory-dependent demand was based on the assumption that retailers were risk-neutral newsvendors,while they usually didn't analyze further risk-averse newsvendor's optimal ordering policy.As far as the risk-averse newsvendor's optimal policy with inventory-dependent demand is considered,in this paper risk-averse newsvendor's model is established based on CVaR criterion.Given that demand is a power function of stock level,optimal ordering decisions and necessary conditions they meet with and without shortage penalty costs.Finally,it is concluded that the optimal order quantity has a positive correlation with parameters in the demand function.Also,the optimal ordering quantity decreases as the degree of risk aversion of retailers growos.
引文
[1]Levin P I,McLaughlin C P.Lamone R P,et al.Contemporary policy for managing operating system[J].Production Operations Management,New York:McGrawHill,1972.
[2]Peterson R,Silver E A.Decision systems for inventory management and production planning[M].New York:Wiley,1979.
[3]Urban T L.Inventory models with inventory-level-dependent demand:A comprehensive review and unifying theory[J].European Journal of Operational Research,2005,162(3):792-804.
[4]Gupta R,Vrat P.Inventory model for stock-dependent consumption rate[J].Opsearch,1986,23(1):19-24.
[5]Baker R C,Urban T L.Single-period inventory dependent demand models[J].Omega,1988,16(6):605-607.
[6]Gerchak Y,Wang Yunzeng.Periodic-review inventory models with inventory-level-dependent demand[J].Naval Research Logistics(NRL),1994,41(1):99-116.
[7]Wu KS.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.
[8]Chang Chuntao.Inventory models with stock-dependent demand and nonlinear holding costs for deteriorating items[J].Asia-Pacific Journal of Operational Research,2012,21(4):435-446.
[9]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.
[10]Berman O,Perry D.An EOQ model with state-dependent demand rate[J].European Journal of Operational Research,2006,171(1):255-272.
[11]Qin Yan,Wang Ruokuan,Vakharia A J,et al.The newsvendor problem:Review and directions for future research[J].European Journal of Operational Research,2011,213(2):361-374.
[12]王夏阳,傅科,徐迪.区分仓库与货架库存需求影响效应的零售商库存决策[J].中国管理科学,2012,20(5):75-82.
[13]Devangan L.Amit R K.Mehta P,et al.Individually rational buyback contracts with inventory level dependent demand[J].International Journal of Production Economics,2013,142(2):381-387.
[14]Eeckhoudt L,Gollier C,Schlesinger H.The risk-averse(and prudent)newsboy[J].Management Science,1995,41(5):786-794.
[15]Schweitzer M E.Cachon G P.Decision bias in the newsvendor problem with a known demand distribution.-Experimental evidence[J].Management Science,2000,46(3):404-420.
[16]Keren B.Pliskin J S.A benchmark solution for the riskaverse newsvendor problem[J].European Journal of Operational Research,2006,174(3):1643-1650.
[17]许明辉,于刚,张汉勤.带有缺货惩罚的报童模型中的CVaR研究[J].系统工程理论与实践,2006,26(10):1-8.
[18]Gotoh J Y,Takano Y.Newsvendor solutions via conditional value-at-risk minimization[J].European Journal of Operational Research,2007,179(1):80-96.
[19]Choi S.Ruszczynski A.A multi-product risk-averse newsvendor with exponential utility function[J].European Journal of Operational Research,2011,214(1):78-84.
[20]Wu Meng.Zhu S X,Teunter R H.A risk-averse competitive newsvendor problem under the CVaR criterion[J].International Journal of Production Economics,2014,156(5):13-23.
[21]Katariya A P,Cetinkaya S,Tekin E.On the comparison of risk-neutral and risk-averse newsvendor problems[J].Journal of the Operational Research Society,2014,65(7):1090-1107.