运费不确定的运输问题

The transportation problem with uncertain transportation cost

在一般运输问题中,总假设从产地到销地的单位物资运价是确定的,但是在特殊情况下,如在发生自然灾害的情况下运输救灾物资、在战时运输军需物资等,因现有的交通网络可能遭到破坏,所以单位物资运价不再是确定的,而是不确定的有理灰数。我们把这一类运费不确定的运输问题称为灰色运输问题。本文给出了灰色运输问题的数学模型、有关理论和求解方法。

In a traditional transportation problem, it is always supposed that the unit transportation cost from source to destination is a definite real number. However, in special cases such as transporting emergency supplies when a natural calamity occurs and transporting military supplies during the war, the network of communication lines may be destroyed, the unit transportation cost from source to destination may be uncertain, namely a grey number. A transportation problem in which the unit transportation cost from source to destination is a grey number is said to be a grey transportation problem. In this paper, the mathematical model of the grey transportation problems, concerned definitions and theorems are given. Lastly, some methods for solving grey transportation problems are introduced.