两种随机存贮管理模型的建立和求解

建立了仓库容量有限条件下单品种、多品种允许缺货的随机存贮模型.采用连续的时间变量更合理地描述了问题,简化了模型的建立.模型的求解是一个以分段的平均损失费用函数作为目标的带约束最优化问题.针对题目中的具体数据对随机量送货滞后时间的密度函数进行了估计,解出了单品种、多品种条件下最优订货点的值和存贮方案.通过分情况讨论把单品种存贮模型推广为多品种(m种)存贮模型,论证了目标函数的独立变量为2m-1个,使模型更加清晰、求解方便.类比控制论中的相关理论提出了一定条件下多品种存贮的最优性原理,给出了证明,指出该原理简化模型和验证模型求解结果的作用.讨论了销售速率具有随机性时的存贮模型,实际当中调整修正订货点的方法,以及仓库最大存贮量的一种预测办法.最后指出了模型的优缺点.

The Set- up and Solutions of Two Models of Random Storage Management

The random storage models for one kind and multiple kinds of products are set up,where storage is limited and the lack of product is permissible.By continuous time variables the problems are described logically.Meanwhile,the set-up of models are simplified.It's a problem of optimization for which the objective is a sectioned,average loss function.The density function of the random quantity lag time is estimated.And optimum ordering pointL~* and storage scheme are abtained.By multiple-case discussion,the one-kind storage model is extended to multiple-kind storage model.It's testified that the number of independent variables of the objective function is 2m-1.And this simplifies and clarifies the model.Analoging the correlating theories of cybernetics,optimality principle of multiple-kinds storage in certain case is put forward and testified.The effect for simplifying and validating the model is pointed out.The storage model is discussed,where selling speed is random.Also is the method of adjusting ordering point and forecasting the storage limit.At last,the advantage and disadvantage of the models are pointed out.