不同约束形式代表决策者不同的决策过程。传统多产品报童问题只考虑预算和能力等线性约束,而不涉及损失约束,显然有违真实的决策过程。为说明损失约束模型不同于预算约束模型的决策特点,通过算例对两个模型的解进行了分析和比较,总结了各自的决策特点。预算约束模型参照基于预算边际效用删除法和一般迭代方法(GIM法)求解。损失约束模型应用基于损失边际效用排序的删除法与线性近似规划法求解。另外对GIM法中衡量误差的公式作了修正。
Different constraint represents the different decision-making process of decision-makers. The classical multi-product newsvendor problem only considers such linear constraint as budget and capability constraints, while loss constraint is seldom involved in it, which is not consistent with the real-life decision-making process evidently. In order to show that the decision-making characteristics of loss constraint models are different from the ones of budget constraint models, the solutions between those two models is compared by numerical examples and their decision-making characteristics are summarized accordingly. The approach to address the budget constraint model is the budget-based marginal utility method and the generic iterative method (GIM) provided by Abdel-Malek. The loss-based marginal utility method and linear approximate programming approach are used to solve the loss constraint model. In addition, the formulation for measuring errors in AbdelMalek's GIM is modified.