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The design optimization is a formulation of mathematical programming with equilibrium constraints (MPECs).
The system can be used as a package for classical mathematical programming with the genetic sub-block deactivated.
Taking the fixed-point model as a constraint, the multimodal toll design problem is thus formulated as a mathematical programming with equilibrium constraints (MPEC) model.
The toll design problem is formulated as a mixed-integer mathematical programming with equilibrium constraints (MPEC) model, which is solved by a Hybrid GA (Genetic Algorithm)–CA method.
This paper examines the CNDP with different VOT for multiple user classes, which is generally expressed as a mathematical programming with equilibrium constraint (MPEC).
We develop the FNDP formulation as bilevel stochastic mathematical programming with complementarity constraints (STOCH-MPEC) in which the bi-level formulation is converted to a single level using non-linear complementarity constraints conditions for user equilibrium (UE) problem.
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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.
It is a continuous bi-level mathematical program with equilibrium constraints.
The problem is formulated as a single-level mathematical program with complementarity constraints (MPCC).
Mathematical programs with equilibrium constraints (MPECs) form a relatively new and interesting subclass of nonlinear programming problems.
With probit SUE stated as a fixed-point condition, the NDP is a mathematical program with equilibrium constraints (MPEC).
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