Encontrados 4 documentos, a visualizar página 1 de 1
Solving a signalized traffic intersection problem with NLP solvers
Melo, Teófilo; Matias, João; Monteiro, M. Teresa T.Mathematical Programs with Complementarity Constraints (MPCC) finds many applications in areas such engineering design, economic equilibrium and mathematical theory itself. In this work we consider a queuing system model resulting from a single signalized traffic intersection regulated by pre-timed control in an urban traffic network. The model is formulated as an MPCC problem and may be used to ascertain the o...
Numerical optimization experiments using the hyperbolic smoothing strategy to s...
Melo, Teófilo; Matias, João; Monteiro, M. Teresa T.In this work we solve Mathematical Programs with Complementarity Constraints using the hyperbolic smoothing strategy. Under this approach, the complementarity condition is relaxed through the use of the hyperbolic smoothing function, involving a positive parameter that can be decreased to zero. An iterative algorithm is implemented in MATLAB language and a set of AMPL problems from MacMPEC database were tested.
Numerical experiments with a modified regularization scheme for mathematical pr...
Melo, Teófilo; Matias, João; Monteiro, M. Teresa T.On this paper we present a modified regularization scheme for Mathematical Programs with Complementarity Constraints. In the regularized formulations the complementarity condition is replaced by a constraint involving a positive parameter that can be decreased to zero. In our approach both the complementarity condition and the nonnegativity constraints are relaxed. An iterative algorithm is implemented in MATLA...
Solving MPCC problem with the hyperbolic penalty function
Monteiro, M. Teresa T.; Melo, Teófilo; Matias, JoãoThe main goal of this work is to solve mathematical program with complementarity constraints (MPCC) using nonlinear programming techniques (NLP). An hyperbolic penalty function is used to solve MPCC problems by including the complementarity constraints in the penalty term. This penalty function [1] is twice continuously differentiable and combines features of both exterior and interior penalty methods. A set of...
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