随机环境下的供应链多目标鲁棒决策模型

A Multi-Objective Robust Optimization Model for a Supply Chain under Stochastic Environment

摘要: 本文研究了随机环境下由单一供应商和单一制造商构成的多产品、多阶段供应链系统的运作决策问题。首先使用运筹与最优化的方法分别描述供应商和制造商的运作情况，建立了多产品、多阶段供应链的多目标决策模型；其次，分别讨论了原材料市场与消费市场均无限制、单一市场不确定以及两市场均不确定三种情形下，供应链的运作情况，利用鲁棒线性优化方法建立了随机环境下的供应链的多目标鲁棒决策模型；最后，设计数值算例对模型的可行性和鲁棒性进行验证。算例结果表明，本文提出的供应链决策模型可以准确计算出各阶段制造商原料的订购量和供应商产品的支付量，为供应链的协调运作提供决策。

Abstract: A multi-product, multi-stage robust operating model is proposed in this paper to give an aggregate production planning in a supply chain consisting of a supplier and a manufacturer under uncer-tainty. First, operational research and optimization method are used to describe the operations of the supplier and the manufacturer, and to establish a multi-objective decision-making model for supply chain. Then, the model is used to discuss the operation of supply chain under the following three circumstances: the raw materials market and consumer market are certain, single market is uncertain and both the markets are uncertain. Combining with the robust linear optimization method, a multi-objective robust optimization model for a supply chain under stochastic envi-ronment is established. Finally, feasibility and robustness of the proposed approach are validated through the solution of several instances. The results show that the approach can calculate the order quantity of manufacturer and the payment quantity of supplier effectively and make decision for the operation of a supply chain.