不确定随机闭环物流网络的机会约束模型及性质

Chance Constraint Model and Properties of Uncertain Random Closed-loop Logistics Network

提出了同时具有随机性和不确定性的闭环物流网络问题。基于机会理论,视具有随机性的参数(产地和销售地之间的单位运输成本)为具有概率分布函数的随机变量,具有不确定性的参数(客户区和销售地之间的单位运输成本及客户需求)为不确定分布的不确定变量。在产销平衡、运费及客户需求的机会约束下,建立了以闭环物流运费(不确定随机变量)的期望最小为目标的闭环物流新模型,称为不确定随机闭环物流网络的机会约束模型。给出了在特殊不确定分布下的模型性质,由此得到与其等价的具体形式。

Closed-loop logistics network integrated with randomness and uncertainty was proposed. Based on the chance theory,the random parameters( the transportation costs of unit from the factories to the stores) were regarded as random variables with probability distribution,and the uncertain parameters( the transportation costs of unit from the customers to the stores and the demands of customers) were regarded as uncertain variables with uncertainty distribution. A new closed-loop logistics network model with the objective of minimizing the expected total cost( uncertain random variable) of closed-loop logistics was established based on the chance constraint of the balance between production and sale,transportation costs and demands of customers. The new closed-loop logistics network model was called the chance constraint model of uncertain random closed-loop logistics network. The properties of the model in special uncertainty distribution were given,and its specific form equivalent to primary model was gained.