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Optimization Strategy Research For Inventory System With Uncertain Random Environment

Posted on:2018-02-20Degree:MasterType:Thesis
Country:ChinaCandidate:R H LiFull Text:PDF
GTID:2359330533960137Subject:Mathematics
Abstract/Summary:PDF Full Text Request
Inventory cost is an important part of production and business activities,also an important part of inventory management.In the traditional inventory problem,the order leadtime or product demand is usually assumed to be a random variable,and research it with probability theory.However,its distribution function can not be obtained after the update of the aircraft structure due to the lack of historical operating data.Therefore,based on the uncertain theory,it is of practical significance to consider the inventory optimization strategy under uncertain environment.The specific content can be summarized as follows:Firstly,we build a continuous(R,Q)inventory model for an uncertain leadtime environment.Assuming that the demand rate is a constant;the order lead time is an uncertain variable and obeys the uncertainty distribution;the decision variable is the order point and the order quantity,and the mathematical model of the inventory cost is built based on the minimum cost of the inventory system as the objective function.Finally,we get that the parameters of the model have a significant impact on the inventory cost and the optimal order point through the example analysis.Secondly,we build a periodic(T,Q)inventory model with uncertain stochastic demand environment.Assuming that the demand for a unit in the original equipment is a random variable;the future demand for the unit in the new equipment is an uncertain variable,and the chance distribution of the component demand is given.The total profit maximization of the mathematical model is built and the analytical solution of the optimal order quantity is obtained.Finally,the numerical analysis shows that the optimal order quantity will change with the demand,the cost of the goods and the cost of the storage of the goods.
Keywords/Search Tags:(R,Q) replenishment policy, Uncertain leadtime, Uncertainty theory, Uncertain programming, Uncertain random demand, Chance theory
PDF Full Text Request
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