Research On Joint Replenishment And Freight Problem With Fuzzy Demand

Joint replenishment and delivery problem has great significance in the production and inventory control. The previous research mainly focuses on the Joint Replenishment question. Most are directed at determining the situation of constraints,but in practical application, there are many uncertain factors. For example, the demand fluctuates with the change of the market, cost is changed with the seasons.This paper will study the joint replenishment and delivery problem based on fuzzy chance constrained programming. The demand variable is defined to obey the fuzzy values of trapezoidal membership function, the transformation of JRD mathematical model is aiming at solving the problem,Firstly, using the fuzzy mathematics theory converted JRD problem model into a mathematical model, considering the demand for fuzzy quantity, and under certain conditions does not satisfy the decision-making premise of constraint conditions, expressed demand with trapezoidal fuzzy numbers, combining the possibility measure, credibility measure, necessity measure of possibility theory,establish more items fuzzy chance constrained programming model of Joint Replenishment transport, the objective function is set to minimize the Supply chain ordering costs and inventory cost expectations.Secondly, respectively, using the genetic algorithm and heuristic Rand algorithm,solved the problem of joint replenishment and delivery problem based on fuzzy chance constrained programming. Corresponding numerical results are obtained by solving instances into calculation, compare and analyze the numerical results. and analyze the intrinsic reasons produced, sum up the advantages and disadvantages of the above two algorithms.Finally, the establish inventory management system In using genetic algorithm and heuristic algorithm of RAND inventory management system, using fuzzy decision function and adaptive methods to solve practical problems, for both theabove studies to verify correctness of the algorithm, as well as the research based on joint replenishment and cargo transportation problems of fuzzy chance constrained programming has practical significance and application value.