Optimal Control Policies For Inventory System Under Randomness

With the rapid development of economy,the market competition is increas-ingly fierce,and the product market is unpredictable.There are many uncertain changes in the process of production and sale,such as product demand,yield rate,supply lead time and so on.Therefore the study of supply chain and inventory management problem is particularly important.In this paper,we mainly study the two part based on the classical newsboy model.The first part is a non cooperative game in a single period under uncer-tain demand.Because the decision of one side will affect the expected profit of the other side,the goal is to prove the existence and uniqueness of Nash equi-librium strategy.The stochastic demand function with price elasticity is general additive-multiplicative form.The paper shows that the profit function is quasi-concave through theoretical derivation.In the second part,we studies semiconduc-tor manufacturing industry as a problem background,n kinds of semiconductor products with different quality grades are obtained after two tests,and they are mutual substitution.Decision variables are product outputs for random yield.Under stochastic demand,the objective function and its properties are given.The conditions for the optimal output in an integrated inventory management and a decentralized inventory management are obtained,then comparison and analysis are made.Furthermore,assuming that the demand function is determined,it is proved that the optimal output is equal to the effective demand under substitution in a decentralized or integrated inventory management.Finally,the fourth chapter summarizes the previous models and conclusions,and discusses the deficiencies in the model,then puts forward the prospect of the research.