心理偏差下基于Nash讨价还价的生产-库存优化
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摘要
研究一类"批对批"策略下的生产-库存优化问题。基于行为经济学中的社会比较理论,提出了生产-库存系统下的心理偏差概念,建立了心理偏差下的效应模型,根据Nash讨价还价博弈解的公理化定义,得到了心理偏差下效应模型的博弈均衡解。讨论了三类情形下心理偏差指数对最优订货量和效用的影响。理论与算例分析表明,最优订购量随心理偏差指数变化表现出相反的变化特征,随制造商心理偏差指数增大而表现出递增减缓的趋势,随零售商心理偏差指数增大而快速减小。当制造商不存在心理偏差时,制造商利润随零售商心理偏差指数的增大表现出递增式的减少;当制造商存在心理偏差时,制造商效用随零售商心理偏差指数的增大表现出递减式的增大。心理偏差指数的变化情况与博弈对方的效用变化情况一致。随着制造商心理偏差指数的增大,整个生产-库存系统的效用呈现出先增大后减小的倒U型变化特征。
The problem of production inventory optimization under a kind of batch to batch strategy was studied.Based on the theory of social comparison in behavioral economics,the concept of psychological deviation under production inventory system was putted forward,and also the effect model of psychological bias was established.According to the axiomatic definition of Nash bargaining solution,the effect model equilibrium solution of psychological deviation was obtained.The effect of psychological deviation index on optimal order quantity and effect under three situations were discussed.Theory and example analysis show that the optimal order quantity variation contrasts with the changes of psychological deviation index.When the manufacturer does not have psychological deviation,the profit of the manufacturer decreases rapidly with the increases of psychological deviation index of the retailer,when the manufacturer has psychological deviation,the manufacturer utility increases in a declining trend with the increase of the retailer psychological deviation.The change of psychological deviation index is consistent with the effect of each other.With the increases of the manufacturer's psychological deviation index,the effect of the whole production inventory system is first increased and then decreased,and it shows an inverted U type.
The problem of production inventory optimization under a kind of batch to batch strategy was studied.Based on the theory of social comparison in behavioral economics,the concept of psychological deviation under production inventory system was putted forward,and also the effect model of psychological bias was established.According to the axiomatic definition of Nash bargaining solution,the effect model equilibrium solution of psychological deviation was obtained.The effect of psychological deviation index on optimal order quantity and effect under three situations were discussed.Theory and example analysis show that the optimal order quantity variation contrasts with the changes of psychological deviation index.When the manufacturer does not have psychological deviation,the profit of the manufacturer decreases rapidly with the increases of psychological deviation index of the retailer,when the manufacturer has psychological deviation,the manufacturer utility increases in a declining trend with the increase of the retailer psychological deviation.The change of psychological deviation index is consistent with the effect of each other.With the increases of the manufacturer's psychological deviation index,the effect of the whole production inventory system is first increased and then decreased,and it shows an inverted U type.
引文
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[3] Caliskan-Demirag O.Channel coordination under fairness concerns and nonlinear demand[J].European Journal of Operational Research,2010,207(3):1321-1326.
[4] Qin F,Mai F,Fry M J,et al.Supply-chain performance anomalies:Fairness concerns under private cost information[J].European Journal of Operational Research,2016,252(1):170-182.
[5] Du S,Nie T,Chu C,et al.Newsvendor model for a dyadic supply chain with Nash bargaining fairness concerns[J].International Journal of Production Research,2014,52(17):5070-5085.
[6] Wei G,Lin Q.Dual-channel Supply Chain Coordination with New Buy-back Contract Based on Fairness Preference Theory[J].Information Technology Journal,2014,13(6):1094-1101.
[7] Wu X L,Niederhoff J A.Fairness in Selling to the Newsvendor[J].Production & Operations Management,2012,23(11):2002-2022.
[8] 杜少甫,杜婵,梁樑,等.考虑公平关切的供应链契约与协调[J].管理科学学报,2010,13(11):41-48.
[9] 丁川,王开弘,冉戎.基于公平偏好的营销渠道合作机制研究[J].管理科学学报,2013,16(8):80-94.
[10] 牟能冶.多契约下基于消费者公平关切和零售商信用的供应链定价策略[J].工业工程与管理,2017,22(2):28-36.
[11] 邢伟,汪寿阳,赵秋红,等.考虑渠道公平的双渠道供应链均衡策略[J].系统工程理论与实践,2011,31(7):1249-1256.
[12] 张涛,郭春亮,卢宝周.考虑公平偏好的产品回收策略[J].系统管理学报,2016,25(5):806-812.
[13] 何丽红,李政道.考虑零售商公平关切的双渠道供应链合作广告决策分析[J].工业工程与管理,2017,22(4):107-114.
[14] 舒亚东,代颖,马祖军.基于Shapley值公平参考框架的回收商竞争逆向供应链定价决策[J].工业工程与管理,2017(6):121-127.
[15] 赵婉鹛,叶春明.考察供应商具有双重行为偏好特征的供应链契约与协调[J].工业工程与管理,2018,23(1):23-29.
[16] Alamri A,Balkhi Z T.The effects of learning and forgetting on the optimal production lot size for deteriorating items with time varying demand and deterioration rates[J].International Journal of Production Economics,2007,107(1):125-138.
[17] Ben-Daya M,Hariga M.Integrated single vendor single buyer model with stochastic demand and variable lead time[J].International Journal of Production Economics,2004,92(1):75–80.
[18] Pan J C H,Yang M F.Integrated inventory models with fuzzy annual demand and fuzzy production rate in a supply chain[J].International Journal of Production Research,2008,46(3):753-770.
[19] Kumar R S,Goswami A.A continuous review production-inventory system in fuzzy random environment:minmax distribution free procedure[J].Computers & Industrial Engineering,2015,79:65-75.
[20] Kumar R S,Tiwari M K,Goswami A.Two-echelon fuzzy stochastic supply chain for the manufacturer–buyer integrated production–inventory system[J].Journal of Intelligent Manufacturing,2014,3:1-14.
[21] Lin H J.Investing in lead-time variability reduction in a collaborative vendor–buyer supply chain model with stochastic lead time[J].Computers & Operations Research,2016,72(2):43-49.
[22] Glock C H,Jaber M Y.A multi-stage production-inventory model with learning and forgetting effects,rework and scrap[J].Computers & Industrial Engineering,2013,64(2):708-720.
[23] Khan M,Jaber M Y,Ahmad A.An integrated supply chain model with errors in quality inspection and learning in production[J].Omega,2014,42(1):16–24.
[24] 伏开放,陈志祥,邵校.资金时间价值下质检不完备的生产-库存决策[J].工业工程与管理,2016,21(6):60-67.