Optimal Control Of Supply Chain Models: Based On Cost

This paper mainly researches on optimization control of supply chain models, and tries to establish different supply chain models and use some mathematical methods to give the optimal strategies for control and also give the analysis for management. Besides, this paper mainly analyzes only singer product and singer focal manufacture company's supply chain. The content of this paper is:In chapter one, the development of logistic and supply chain theories are briefly reviewed and the needed backgrounds for this research are presented. In chapter two, the cooperation and noncooperation supply chain models are analyzed; meanwhile, the buyers'different and independent orders'influence are taken into account for inventory. In theory, it shows that cooperation strategy effectively reduces the whole supply chain's cost and inventory level. Focal manufacturing company's cost is reduced, but buyers'costs are increased. In order to realize the cooperation profits, the feasible cost apportionment factors are carried out. In chapter three, focal manufacturing company how to set its optimal productivity is analyzed, according to its inventory level and stochastic demands. Stochastic optimal control model is established, using the Euler equation, the optimal state function and the optimal control function are solved. In chapter four, focal manufacturing company's optimal product plan is set to meet some preferential orders. Using the optimal control theory, the optimal product plan is given, especially when productivity limited. In chapter five, combined with the queuing theory and Markov process, the supply chain stochastic model is established, and the steady balanceable distribution is solved. The supply chain items are given and the different parameters'impact to these items and whole cost are analyzed. The optimal inventory control strategy is given at last. In chapter six, the vender markov process and renewal process are used to analyze deteriorating items inventory control .The steady balanceable target function is established and the optimal inventory control strategy is given.These models established have some actual significance and referenced value.