Following the results of cite{Med}, regarding the Aluthge transform of polynomial matrices, the symbolic computation of the Duggal transform of a polynomial matrix $A$ is developed in this paper, using the polar decomposition and the singular value decomposition of $A$. Thereat, the polynomial singular value decomposition method is utilized, which is an iterative algorithm with numerical charac...

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....

In this paper, a green transportation location problem is considered with uncertain demand parameter. Increasing robustness influences the number of trucks for sending goods and products, caused consequently, increase the air pollution. In this paper, two green approaches are introduced which demand is the main uncertain parameter in both. These approaches are addressed to provide a trade-off b...

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....

in this paper, a multi-objective hub location problem considering stochastic links and candidate nodes characteristics is modeled. the first objective is to minimize total costs, including setup and transportation costs. the second one is to minimize network risks. characteristics such as weather conditions, safety, exchange rate, crisis, are defined as uncertainty parameters and considered as ...