CAJ | 학술논문

本文建立了供应商与销售商协同补货策略下的食品冷链均衡模型。供应商与销售商通过协同补货的方式形成一个整体（记为协同补货整体）,与消费者组成了非合作博弈的两个主体,两者追求各自的最大利益,最终达到食品冷链在产品数量及价格的均衡状态。本文首次运用不动点思想设计了求解均衡模型的迭代算法,算例分析证明了本文模型的实用性及算法的可行性。
본문건립료공응상여소수상협동보화책략하적식품랭련균형모형。공응상여소수상통과협동보화적방식형성일개정체（기위협동보화정체）,여소비자조성료비합작박혁적량개주체,량자추구각자적최대이익,최종체도식품랭련재산품수량급개격적균형상태。본문수차운용불동점사상설계료구해균형모형적질대산법,산례분석증명료본문모형적실용성급산법적가행성。
Based on the economic equilibrium theory, supply chain equilibrium can be achieved when various components of supply chain components reach the steady state. Food cold chain, as a special supply chain, plays an important part in safeguarding food safety, maintaining society stability and improving food value. As foods are perishable, their nutritional values will become low if they are not fresh. Food cold chain equilibrium becomes an important food characteristic in the supply chain management. This paper proposes an equilibrium model of food cold chain based on the collaborative replenishment policy between a supplier and a retailer. A comprehensive collaborative replenishment should include supplier, retailer, and consumers in a non-cooperative game. After considering the information of food demand as well as their production and marketing capacity, collaborative replenishment will choose appropriate order quantity and sale price in order to maximize profit. Consumers will determine their purchase volume to maximize satisfaction by considering demand for, as well as price and nutritional value of food. Supply chain partners will adjust strategies to maximize benefits and finally achieve the equilibrium condition in terms of food quantity and price. An iterative algorithm using the fixed point is designed for the first time to solve the equilibrium model, and a numeric example is illustrated to show the applicability of the proposed model and the algorithm. In the first part, this paper introduces the food cold chain equilibrium based on collaborative replenishment, propose a basic framework, and explain eight important assumptions as well as the variables needed for the model. The second part discusses the construction of the equilibrium model. This part presents a mathematical formula about the maximum benefit gained by a comprehensive collaborative replenishment, and the outcome of the supply chain game. The third part introduces the iterative algorithm using the fixed point concept. An appropriate algorithm suitable for computer programming is designed after the model is transformed. In the fourth part, this paper illustrates a numerical example to analyze the food cold chain equilibrium model and the iterative algorithm. The example has shown the applicability of the proposed model and the feasibility of the algorithm. In summary, food cold chain equilibrium is a special research topic about supply chain equilibrium considering food characteristics, and collaborative replenishment.