逆向拍卖采购下的库存与定价联合决策

工业工程 ›› 2013, Vol. 16 ›› Issue (1): 99-104.

逆向拍卖采购下的库存与定价联合决策

（湘潭大学 1.商学院;2.数学与计算科学学院，湖南湘潭，411105;）

出版日期:2013-02-28 发布日期:2013-03-22
作者简介:刘树人（1972-），男，湖南省人，副教授，湘潭大学理论经济学博士后，主要研究方向为运营与供应链管理、网上拍卖.

Study on Joint Inventory-Pricing Decision-Making in Reverse Auction Procurement

(1. School of Business, Xiangtan University, Xiangtan 411105， China；2.School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105，China)

Online:2013-02-28 Published:2013-03-22

摘要/Abstract

摘要： 研究单周期下零售商的联合采购与定价决策问题。在该问题中，零售商首先确定一个采购合同，然后供应商投标，通过逆向拍卖选取一个获胜的供应商进行采购，同时确定产品的零售价格，目标是最大化其期望利润。假定需求函数是乘式的，在一定的条件下，证明零售商的期望收益（不包括采购费用）是采购量的凹函数，从而得到其最优的采购与定价策略。特别对正态需求分布情形给出了零售商的采购量和利润函数的解析表达式，并进行数值计算与分析。结果表明参与拍卖的供应商数量越多或供应商对其边际生产成本的估价越分散对零售商越有利。

关键词: 采购, 逆向拍卖, 定价, 报童模型

Abstract: The problem of joint procurement decision and pricing for a retailer in a single period setting is addressed. The retailer creates a procurement contract specifying payment for possible purchase quantity. Then, bidding invitation is issued in a reverse auction way. The won supplier has the right to make the decision about the quantity to be produced and delivered. Meanwhile, the retailer decides the price simultaneously to maximize the expected profit. With the assumption that the stochastic demand is a product function, under some relatively mild conditions, it is shown that the retailers expected revenue (not including the procurement cost) is a concave function of the purchased quantity, leading to an optimal ordering and pricing decision for the retailer. Especially, analytical expressions for purchase quantity and expected profit under normal demand distribution for the retailer are obtained. Numerical analyses are made and results show that the retailer gets more expected profit when the number of suppliers participating in the auction increase or the suppliers marginal costs are more diverse.

Key words: procurement, reverse auction, pricing, newsvendor model

刘树人1,2，李维2，王娜2. 逆向拍卖采购下的库存与定价联合决策[J]. 工业工程, 2013, 16(1): 99-104.

Liu Shu-ren1,2, Li Wei2, Wang Na2. Study on Joint Inventory-Pricing Decision-Making in Reverse Auction Procurement[J]. Industrial Engineering Journal , 2013, 16(1): 99-104.

参考文献

［1］Whitin T M.Inventory control and price theory ［J］.Management Science,1955,2(1):61-80. ［2］Mills E S.Uncertainty and price theory ［J］.Quarterly Journal of Economics,1959,73(1):116-130. ［3］Karlin S,Carr C R.Prices and optimal inventory policy［M］∥Arrow K.Study in applied probability and management science［M］.Stanford,California:Stanford University Press,1962:159-172. ［4］Young L L.Price,inventory and the structure of uncertain demand ［J］.New Zealand Operations Research,1978,6(2):157-177. ［5］Lau A H,Lau H S.The newsvendor problem with price-dependent demand distribution ［J］.IIE Transactions,1988,20(1):168-175. ［6］Dada J D,Petruzzi N C.The newsvendor model with endogenous demand ［J］.Management Science,2001,47(11):1488-1497. ［7］Petruzzi N C,Dada M.Pricing and the newsvendor problem:a review with extensions ［J］.Operations Research,1999,47(2):183-194. ［8］Yao L,Chen Y F,Yan H M.The newsvendor problem with pricing：extensions ［J］.International Journal of Management Science and Engineering Management,2006,1(1):3-16. ［9］Song Y,Ray S,Li S.Structrual properties of buy-back contracts for price-setting newsvendors ［J］.Manufacturing and Service Operations Management,2008,10(1):1-18. ［10］Huh W T,Janakiraman G.(s,S) optimality in joint inventory-pricing control:an alternative approach ［J］.Operations Research,2008,56(3):783-790. ［11］Song Y,Ray S, Boyaci T.Optimal dynamic joint inventory-pricing control for multiplicative demand with fixed order costs and lost sales ［J］.Operations Research,2009,57(1):245-250. ［12］Chen F R.Auctioning supply contracts ［J］.Management Science,2007,53(10):1562-1576. ［13］Wang Z X,Beil D R.RFQ auctions with supplier qualification screening ［J］.Operations Research,2009,57(4):924-949. ［14］Tunay I T,Wu Q.Multiple sourcing and procurement process selection with bidding events ［J］.Management Science,2009,55(5):763-780. ［15］Chaturvedi A,Martinez-de-Albeniz V.Optimal procurement design in the presence of supply risk ［J］.Manufaturing and Service Operations Management,2011,13(2):227-243.

[1]	王建斌, 李程. 基于服务价格和质量承诺的服务商竞争策略研究[J]. 工业工程, 2021, 24(5): 9-17.
[2]	郑本荣, 云方旭. 制造商竞争环境下供应链CSR投入模式选择研究[J]. 工业工程, 2021, 24(5): 39-46.
[3]	侯玉梅, 郑迪文, 孔乐佳, 沈梦思, 高晓娜. 消费者策略行为下全渠道服务区域及定价的优化研究[J]. 工业工程, 2021, 24(5): 55-62.
[4]	徐兵, 李慧芳. 新鲜度差异下两种可替代生鲜品的多阶段定价策略研究[J]. 工业工程, 2021, 24(4): 10-19.
[5]	官振中, 黄丘杰, 张爱凤. 考虑最优定价与质量决策的平台销售模式选择研究[J]. 工业工程, 2021, 24(3): 10-17.
[6]	田俊峰, 田劲松. 网络零售商产品与运费联合定价的优化决策研究[J]. 工业工程, 2021, 24(3): 26-33.
[7]	梁喜, 梁伦海. 考虑渠道成本差异的双渠道供应链定价策略与渠道选择[J]. 工业工程, 2021, 24(2): 1-9.
[8]	李芳, 马艳, 王豪丽. 制造商主导下差别主体努力的闭环供应链决策研究[J]. 工业工程, 2021, 24(2): 27-33.
[9]	刘盾, 宋慧玲, 聂佳佳. 考虑努力水平的网络零售商定价决策与渠道选择研究[J]. 工业工程, 2021, 24(1): 1-9,18.
[10]	李豪, 熊雪霞, 刘飞. 多品牌商线上线下竞争定价与渠道决策研究[J]. 工业工程, 2021, 24(1): 10-18.
[11]	孟佳, 张磊, 温艳, 魏全申. “4+7”带量采购中考虑自信水平、参考点和损失厌恶的医疗机构订购策略[J]. 工业工程, 2020, 23(6): 101-108,154.
[12]	李锋, 余菡. 模仿创新企业进入时机和动态定价联合决策问题研究[J]. 工业工程, 2020, 23(5): 11-21,95.
[13]	周宝刚, 刘思雯, 张丽凤. 纸质书与电子书双渠道供应链定价与契约选择策略[J]. 工业工程, 2020, 23(5): 36-45.
[14]	李妍峰, 龚桂琳. 基于用户异质性的旅游巴士定价研究[J]. 工业工程, 2020, 23(4): 69-74,130.
[15]	谭美容, 李豪. 消费者偏好下基于辐条模型的寡头定价研究[J]. 工业工程, 2020, 23(4): 93-96,139.