传统离散型报童决策模型的一个问题及其改进方案

实践表明 ,对状态变量的递增量较大的报童问题 ,应用传统的离散型报童模型所确定的最优决策量与实际最优方案之间可能存在较大偏差 .分析了这一偏差出现的原因 ,提出了状态变量递增量较大的情况下的离散变量报童模型和求解方法 ,并证明这一模型比原模型得出的求解结果更为精确 .最后 ,通过算例验证了新模型对原模型的改进 .

A Problem of the Classical Scatter Type's Newsboy Model and Its Solving

A case shows: for a scatter type′s newsboy problems, if its state-variable is big, its optimal solution by the classical model has a big error with the real optimal. This paper analyses the classical model and its solution by illustration, and indicates that the error is caused by that the classical model uses directedly a state variable as the approximately optimal solution. For solving the problem, this paper presentes a new newsboy model for big scatter variable′s incremental change and descirbles the process and method of getting a more accurate optimal solution. Furthermore it is proved that the new model's solution is more accurate than the old′s. Enventually, another case validates the new model′s improvement to the classical model.