We will treat the global coherence using mathematical programming technique.
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.
By properly formulating the constraints, we show that the MPC problem at each stage is a mixed-integer linear program and admits an explicit control law derived by multi-parametric programing techniques.
As for the mathematical methodology, we articulated it as a discrete bilevel mathematical programing.
Finally, we apply fuzzy mathematical programing to solve this multi-objective optimization problem.
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.
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.
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.
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.
