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...

If there are grey variables in the constraint conditions in uncertain programming, the programming is called grey chance constrained programming. In this paper we provide the concept of grey chance constrained programming. When the whitenization weight functions of grey variables are known and the distribution functions are constructed, we studied the certainty equivalence solution of grey chan...

In urban drainage systems (UDS), a proven method for reducing the combined sewer overflow (CSO) pollution is real-time control (RTC) based on model predictive (MPC). MPC methodologies RTC of UDSs in literature rely computation optimal strategies deterministic rain forecast. However, reality, uncertainties exist rainfall forecasts which affect severely accuracy computing strategies. Under this c...

Inflexible combined heat and power (CHP) plants uncertain wind production result in excess distribution networks, which leads to inverse flow challenging grid operations. Power-to-X facilities such as electrolysers electric boilers can offer extra flexibility the integrated energy system. In this regard, we aim jointly determine optimal facility sizing system operations study. To account for un...

It is challenging to generate optimal trajectories for nonlinear dynamic systems under external disturbances. In this brief, we present a novel approach planning safe of the chance-constrained trajectory optimization problems with nonconvex constraints. First, chance constraints are handled by deterministic ones which show its availability. We derive an iterative convex method solve control pro...