Grey Bottleneck Transportation Problems

Abstract

In some real situations, such as transporting emergency goods when a natural disaster occurs or transporting military supplies during the war, the transport network may be destroyed, the transportation cost (time or mileage) from sources to destinations may not be deterministic, but uncertain grey number. This paper investigated a new bottleneck transportation problem called the grey bottleneck transportation problem, in which the transportation time (or mileage) from sources to destinations may be uncertain, and introduces its mathematical model and algorithms.