Abstract: The dual programming condition and the D-value of objective function model are given to judge whether the more-for-less paradox occurs in transportation problems. The maximum amount of supply and demand model is constructed to achieve the maximum adjustment scheme while increasing the supply with no freight increasing. Next, the reasonable pricing method is proposed to solve the paradox by changing the unreasonable transportation price and proved to be true. It is found that the solving model and method exhibits excellent face validity for a numerical example.

Key words: transportation problems, D-value of objective function model, maximum amount of supply and demand model, reasonable pricing method, paradox

摘要： 该文提出了判断运输问题悖论是否存在的对偶规划条件以及目标函数差值模型,并针对运输悖论中存在的两个颇有实际意义的问题:增加运量而总运费不增的最大调整量问题以及产销地的单位运价不合理问题,给出了用以获得最大运量调整方案的最大供需量模型以及通过改变不合理运价来消除悖论的合理定价法,并辅以实例加以验证。

关键词: 运输问题, 目标函数差值模型, 最大供需量模型, 合理定价法, 悖论