An approach is presented to solve a fuzzy transportation problem with linear fractional fuzzy objective function. In this proposed approach the fractional fuzzy transportation problem is decomposed into two linear fuzzy transportation problems. The optimal solution of the two linear fuzzy transportations is solved by dual simplex method and the optimal solution of the fractional fuzzy transport...

We study a multi-marginal optimal transportation problem with cost function of the form $c(x_{1}, \ldots,x_{m})=\sum_{k=1}^{m-1}|x_{k}-x_{k+1}|^{2} + |x_{m}- F(x_{1})|^{2}$, where $F: \mathbb{R}^...

the passenger line planning is a process of strategic long-term decision-making problem in the field of railway passenger planning. a line is a route between starting point and destination with certain stops, which has a certain frequency of train schedule. a new solution based on decomposition algorithm has been proposed in this paper, which is defined in a master problem and two sub problems....