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Each CR's satisfaction expression is formulated using the mathematical programing method.
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A well-known approach for shape optimization problems, which is called the discrete approach, describes a domain shape with parameters of finite numbers and finds out an optimum solution of the parameters by utilizing mathematical programing methods.
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.
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.
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.
An improved dynamic programing method is used to solve the optimization model.
However, the selection of constraint equations in the linear programing method is not unique.
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.
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