The analysis is cast in its most natural form, namely in mixed static-kinematic variables, and leads to, what is known in the mathematical programing literature, as a mathematical program with equilibrium constraints or MPEC.
Fuzzy mathematical programing is an efficient approach to solve multi-objective optimization problems, which models each objective as a fuzzy set whose membership function represents the degree of satisfaction of the objective.
Although finding the locations of the tolled roads can also be cast in a mathematical programing framework, past experiences have shown that it is usually a decision to be made by the authorities considering many technical, societal as well as political factors.
Our results show the superiority of mathematical programing in solving this problem, as evidenced by the resulting wind farm efficiency and the computational cost required to obtain the solutions.
As for the mathematical methodology, we articulated it as a discrete bilevel mathematical programing.
Each CR's satisfaction expression is formulated using the mathematical programing method.
The other is computer-based, such as mathematical programing [3, 4], simulation [5, 6], and expert systems [7, 8].
A methodology using Life Cycle Assessment and mathematical programing is proposed and its capabilities are shown through a case study.
Two examples are provided to illustrate application of the proposed scheme, and some comments regarding the various advantages of the adopted mathematical programing framework are made.
This paper describes a mathematical programing based approach for the direct limit load evaluation of a structural system under simultaneous contact and limited displacement conditions.
