Fuzzy Stochastic Inventory System Analysis

Based on the independent inventory model's important Theoretical significance and practical value, it has been widely used in various industries and fields. At the same time, these industries and fields exist some objective or subjective uncertainty undoubtedly, such as fuzziness and randomness. To solve these problems, a mount of scholars has carried out a large number of studies on the classical and extended independent inventory models under the random or fuzzy environment. However, the current independent inventory systems usually incur under the environment with the variety of mixed uncertainties. This uncertainty is no longer a single presentation of randomness or fuzziness, but the result of the interaction between the mutual penetration. Based on the optimal theory on fuzzy random variables, the newsboy problem and the continuous review inventory policy are studied, and the following issues are discussed to expand the existing research:1) The existing research on fuzzy random newsboy problem, only a discrete fuzzy random demand newsboy problem is studied without giving a clear order or order optimality conditions. The programming aims to a) for the discrete fuzzy random newsboy problem, obtaining the optimality conditions on the amount of the order. b) given the mean of fuzzy numbers for fuzzy random newsboy problem, gaining the optimality conditions on the amount of the order. c) considered the values for the variables as the fuzzy numbers for fuzzy random demand newsboy problem,acquiring the optimality conditions on ordering quantity. The study added the method of the analysis for the fuzzy random newsboy problem.2) Existing fuzzy stochastic continuous inventory problem only studied continuous review inventory problem with the mean of fuzzy numbers for fuzzy random and variable lead time, unfortunately, there are some errors in the calculation of the amount. This programming discussed a) the continuous review inventory policy problem of the demand of determine circumstances and the lead time is the discrete fuzzy random variable. b) determining the cases of early demand for the fuzzy random demand of the continuous review inventory policy issues. c) the continuous review inventory policy problem of the demand of determine the circumstances, the lead time for the LR-type fuzzy random variable. Those above studies have enriched the study of fuzzy random continuous review inventory policy analysis. This project's innovations on the theory of fuzzy stochastic inventory system research are as follows:1) Creatively putting forward full information sharing for experts in the field under the discrete fuzzy random variable value of the consistency condition, and accordingly developed a fuzzy newsboy problem with stochastic demand and continuous review inventory policy with fuzzy random demand/lead time.2)Amending the understanding and calculation of the shortage with the continuous fuzzy random demand in the existing literatures, and provide a reference for the future research.