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Stochastic bottleneck transportation problem with flexible supply and demand quantity

Yue Ge;  Hiroaki Ishii — 2011

Kybernetika

We consider the following bottleneck transportation problem with both random and fuzzy factors. There exist m supply points with flexible supply quantity and n demand points with flexible demand quantity. For each supply-demand point pair, the transportation time is an independent positive random variable according to a normal distribution. Satisfaction degrees about the supply and demand quantity are attached to each supply and each demand point, respectively. They are denoted by membership functions...

Chance constrained bottleneck transportation problem with preference of routes

Yue Ge;  Minghao Chen;  Hiroaki Ishii — 2012

Kybernetika

This paper considers a variant of the bottleneck transportation problem. For each supply-demand point pair, the transportation time is an independent random variable. Preference of each route is attached. Our model has two criteria, namely: minimize the transportation time target subject to a chance constraint and maximize the minimal preference among the used routes. Since usually a transportation pattern optimizing two objectives simultaneously does not exist, we define non-domination in this...

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