| Fierce market competition forces enterprise mutual reciprocity with its suppliers and customers to meet user's request in such aspects as performance, style, quality, price, delivery date and service for the products. Thus forms a new supply chain management mode. How to build a conformable supply chain model to provide decision support with quantitative method, is an interesting topic deserved study. Multilevel programming is widely used in recent years. It emphasizes global optimization of system that has hierarchical structure. That's just characterization of supply chain problem. So multilevel programming is used to modeling and solve supply chain problem in this dissertation.Firstly we study the constraints placing problem in multilevel programming models. The conclusion is that the difference of constraints placing leads to different even wrong result. The comparison of application background for multilevel programming, multi-objective programming and interaction programming shows that multilevel programming is more adapt to supply chain problem. An interactive multilevel solving method is also introduced. This method is simple and easily used, but it negelects the hierarchy of multilevel programming.Analyzing supply chain problem, under some assumption, a multi-period multi-good multi-enterprise trilevel programming model is built. Combination with membership function, decentralized use of interactive programming, the multilevel problem is simplified to single level. The satisfied solution can be gained.Finally applying a practical example to domestic manufacturing industry of parts approves the feasibility of model and algorithm.
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