Research On Inventory Problems Based On Three Types Of Fuzzy Condition

The studied title is come from National Natural Science Foundation Project (grant number:70471045):supply chain coordination and quantity discount research based on stochastic demand and asymmetric information.The paper discusses inventory problems of three types of fuzzy environment in supply chain. (1) The ordering lot-sizing problem of single item under fuzzy demand condition. This paper researches the single item ordering lot-sizing problem from two perspectives;firstly, two different fuzzy demand models are constructed: one is the model of discrete demand, the other is the model of continuous demand, then, the fuzzy theory is adopted to construct and compute the fuzzy inventory models respectively;secondly, the attrition rate and demand are regarded as fuzzy numbers at the same time, the sale price of product is divided into two parts, i.e., no attrition product is sold with normal price, the partial attrition product is sold with discount price;an inventory model made the total profits maximized is constructed, the theory of probability aconfidence interval is used to estimate fluctuate interval of the fuzzy variables.we can solve the model and obtain the optimal ordering lot-sizing by fuzzy theory. (2) The ordering lot-sizing problem of multi-items under fuzzy constraints. This paper researches firstly the problem of the fuzzy stochastic inventory, constructs the fuzzy stochastic inventory model using the method of fuzzy programming,then analyses the mathematical methods of fuzzy stochastic inventory by multi-objective programming chance constraint programming and fuzzy non-linear programming, finally, we solve the models using Matlab or Lingo optimal software.(3) Principal-agent problem based on fuzzy Market environment. Assuming that the demand depends on the agent's effort level and the fuzzy market condition, this paper researches and analyzes the principle-agent problem under fuzzy market information asymmetry condition using the theory of principal-agent and incentive mechanism.