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基于期权代储协议的应急物资政企联合储备模型研究

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为提高我国应急物资保障供应能力并减少物资过期浪费,本文提出了一种基于期权代储协议的政企联合储备新模型。该模型以政府救灾满意值及代储企业利润最大化为决策目标,以政府的单位代储补贴及代储企业的柔性储备量为决策变量。研究发现:(1)只有当政府购买代储企业柔性储备物资的概率足够大,或者其处于适中的范围内且单位代储补贴大于一定的阈值时,代储企业才会柔性储备物资且此时的柔性储备量与单位代储补贴正向相关;(2)当代储企业柔性储备物资时,随着最低期权代储量的增加,最优柔性储备量、单位代储补贴及政府最大期望救灾满意值均会减少,代储企业的最大期望利润先增加后减少;(3)最优的单位代储补贴及物资柔性储备量均和期权代储物资与临时采购物资的单位救灾满意值差正向相关。最后,通过数值算例进一步验证分析了相关因素对政企双方最优决策的影响并给出了相应的管理启示。
Joint Reserve Model of Government and Enterprise for Relief Materials Based on a Delegated Reserve Contract with Option
In recent years,frequent large-scale natural disasters(such as floods,typhoons,earthquakes)and public emergencies(such as COVID-19 epidemic)have brought increasing challenges to China's relief materi-als reserve system.In order to enlarge the supply capacity of relief materials in"urgent"time period and reduce the excessive waste resulted by expiration of the relief materials in"ordinary"time period,a new joint reserve model based on a delegated reserve contract with option is proposed between a government and an agent enterprise.In the model,the stochastic programming method and game theory is used and the two factors of reserve cost and relief satisfaction value are simultaneously considered.Moreover,the maximization of the government's relief satisfaction value and the agent enterprise's profit is the decision-making objective,and the government's subsidy and the agent enterprise's flexible quantity of the relief materials are the decision-making variables.As a result,the optimal subsidy strategy of the government and the optimal flexible reserve strategy of the agent enterprise are provided,respectively.The main results show that:(1)Only when the probability of the government purchasing the flexible materials of the agent enterprise is big enough,or it is in a moderate range and the unit subsidy is greater than a certain threshold,the agent enterprise will reserve flexible materials and the quantity of flexible materials is positively correlated with the unit subsidy;(2)When the agent enterprise reserves flexible materials,as the minimum quantity of relief materials with option increases,the agent enterprise's expected profit increases first and then decreases,and the optimal flexible quantity of relief materials decreases,as well as the optimal unit subsidy level and the government's expected relief satisfaction value;(3)The optimal unit subsidy and flexible quantity of relief materials are positively correlated with the dif-ference of the relief satisfaction values between the relief materials with option and temporarily purchased materi-als.Finally,a numerical example is given to further illustrate the impact of relevant factors on the optimal strategies,and the corresponding management insights are provided.

relief materialsjoint reserveoptionreserve subsidyrelief satisfaction value

胡婉婷、丁晶晶、梁樑

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合肥工业大学管理学院,安徽 合肥 230009

应急物资 联合储备 期权 代储补贴 救灾满意值

国家自然科学基金项目国家自然科学基金项目国家自然科学基金项目国家自然科学基金项目

71771074721881017217107371771127

2024

中国管理科学
中国优选法统筹法与经济数学研究会 中科院科技政策与管理科学研究所

中国管理科学

CSTPCDCSSCICHSSCD北大核心
影响因子:1.938
ISSN:1003-207X
年,卷(期):2024.32(9)