Optimizing Network Controllability with Minimum Cost

Optimizing controllability of complex networks by minimum structural perturbations.

To drive a large, complex, networked dynamical system toward some desired state using as few external signals as possible is a fundamental issue in the emerging field of controlling complex networks. Optimal control is referred to the situation where such a network can be fully controlled using only one driving signal. We propose a general approach to optimizing the controllability of complex n...

The Minimum Universal Cost Flow in an Infeasible Flow Network

In this paper the concept of the Minimum Universal Cost Flow (MUCF) for an infeasible flow network is introduced. A new mathematical model in which the objective function includes the total costs of changing arc capacities and sending flow is built and analyzed. A polynomial time algorithm is presented to find the MUCF.

A Fuzzy Random Minimum Cost Network Flow Programming Problem

In this paper, a fuzzy random minimum cost flow problem is presented. In this problem, cost parameters and decision variables are fuzzy random variables and fuzzy numbers respectively. The object of the problem is to find optimal flows of a capacitated network. Then, two algorithms are developed to solve the problem based on Er-expected value of fuzzy random variables and chance-constrained pro...

Optimizing with minimum satisfiability

the minimum universal cost flow in an infeasible flow network

in this paper the concept of the minimum universal cost flow (mucf) for an infeasible flow network is introduced. a new mathematical model in which the objective function includes the total costs of changing arc capacities and sending flow is built and analyzed. a polynomial time algorithm is presented to find the mucf.