Solving a signalized traffic intersection problem with an hyperbolic penalty function

Mathematical Program with Complementarity Constraints (MPCC) finds many applications in fields such as engineering design, economic equilibrium and mathematical programming theory itself. A queueing system model resulting from a single signalized intersection regulated by pre-timed control in traffic network is considered. The model is formulated as an MPCC problem. A MATLAB implementation based on an hyperbolic penalty function is used to solve this practical problem, computing the total average waiting time of the vehicles in all queues and the green split allocation. The problem was codified in AMPL.

Solving MPCC problem with the hyperbolic penalty function

The 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 AMPL problems from MacMPEC [2] are tested and a comparative study is performed.

Distribuição dos receptores da adenosina no plexo mioentérico – músculo longitudinal do íleo de rato: implicações funcionais

A acetilcolina (ACh) é o neurotransmissor mais importante no controlo da motilidade gastrointestinal. A libertação de ACh dos neurónios entéricos é regulada por receptores neuronais específicos (De Man et al., 2003). Estudos prévios demonstraram que a adenosina exerce um papel duplo na libertação de ACh dos neurónios entéricos através da activação dos receptores inibitórios A1 e facilitatórios A2A (Duarte-Araújo et al., 2004). O potencial terapêutico dos compostos relacionados com a adenosina no controlo da motilidade e da inflamação intestinal, levou-nos a investigar o papel dos receptores com baixa afinidade para a adenosina, A2B e A3, na libertação de acetilcolina induzida por estimulação eléctrica nos neurónios mioentéricos. Estudos de imunolocalização mostraram que os receptores A2B exibem um padrão de distribuição semelhante ao do marcador de células gliais (GFAP). No que respeita aos receptores A1 e A3, estes encontram-se distribuídos principalmente nos corpos celulares dos neurónios ganglionares mioentéricos, enquanto os receptores A2A estão localizados predominantemente nos terminais nervosos colinérgicos. Neste trabalho mostrou-se que a modulação da libertação de ACh-[3H] (usando os antagonistas selectivos DPCPX, ZM241385 e MRS1191) é balanceada através da activação tónica dos receptores inibitórios (A1) e facilitatórios (A2A e A3) pela adenosina endógena. O antagonista selectivo dos receptores A2B, PSB603, não foi capaz de modificar o efeito inibitório da NECA (análogo da adenosina com afinidade para receptores A2). O efeito facilitatório do agonista dos receptores A3, 2-Cl-IB MECA (1-10 nM), foi atenuado pelo MRS1191 e pelo ZM241385, os quais bloqueiam respectivamente os receptores A3 e A2A. Contrariamente à 2-Cl-IB MECA, a activação dos receptores A2A pelo CGS21680C, atenuou a facilitação da libertação de ACh induzida pela activação dos receptores nicotínicos numa situação em que a geração do potencial de acção neuronal foi bloqueada pela tetrodotoxina. A localização diferencial dos receptores excitatórios A3 e A2A ao longo dos neurónios mioentéricos explica porque razão a estimulação dos receptores A3 (com 2-Cl-IB MECA) localizados nos corpos celulares dos neurónios mioentéricos exerce um efeito sinérgico com os receptores facilitatórios A2A dos terminais nervosos no sentido de aumentarem a libertação de ACh. Os resultados apresentados consolidam e expandem a compreensão actual da distribuição e função dos receptores da adenosina no plexo mioentérico do íleo de rato, e devem ser tidos em consideração para a interpretação de dados relativos às implicações fisiopatológicas da adenosina nos transtornos da motilidade intestinal.

Penalty fuzzy function for derivative-free optimization

Penalty and Barrier methods are normally used to solve Nonlinear Optimization Problems constrained problems. The problems appear in areas such as engineering and are often characterised by the fact that involved functions (objective and constraints) are non-smooth and/or their derivatives are not know. This means that optimization methods based on derivatives cannot net used. A Java based API was implemented, including only derivative-free optimizationmethods, to solve both constrained and unconstrained problems, which includes Penalty and Barriers methods. In this work a new penalty function, based on Fuzzy Logic, is presented. This function imposes a progressive penalization to solutions that violate the constraints. This means that the function imposes a low penalization when the violation of the constraints is low and a heavy penalisation when the violation is high. The value of the penalization is not known in beforehand, it is the outcome of a fuzzy inference engine. Numerical results comparing the proposed function with two of the classic penalty/barrier functions are presented. Regarding the presented results one can conclude that the prosed penalty function besides being very robust also exhibits a very good performance.

Fitness function evaluation through fractional algorithms

This paper proposes a Genetic Algorithm (GA) for the design of combinational logic circuits. The fitness function evaluation is calculated using Fractional Calculus. This approach extends the classical fitness function by including a fractional-order dynamical evaluation. The experiments reveal superior results when comparing with the classical method.

Fractional describing function of systems with nonlinear friction

This paper studies the describing function (DF) of systems consisting in a mass subjected to nonlinear friction. The friction force is composed in three components namely, the viscous, the Coulomb and the static forces. The system dynamics is analyzed in the DF perspective revealing a fractional-order behaviour. The reliability of the DF method is evaluated through the signal harmonic content and the limit cycle prediction.

Describing function of two masses with backlash

This paper analyzes the dynamical properties of systems with backlash and impact phenomena based on the describing function method. It is shown that this type of nonlinearity can be analyzed in the perspective of the fractional calculus theory. The fractional dynamics is compared with that of standard models.

Fractional describing function of systems with Coulomb friction

This paper studies the describing function (DF) of systems constituted by a mass subjected to nonlinear friction. The friction force is decomposed into two components, namely, the viscous and the Coulomb friction. The system dynamics is analyzed in the DF perspective revealing a fractional-order behavior. The reliability of the DF method is evaluated through the signal harmonic contents.

Executive Function Impairments in Patients with Depression

Depression, the most prevalent psychiatric disorder, has a lifelong risk of 20% and is related to high rates of death among the patients. Thus, this study aims to conduct a systematic review of changes in executive functions of adult patients diagnosed with depression. We found 1381 articles; however, only 28 were selected and recovered. The inclusion criteria was the assessment of executive functions with at least one neuropsychological test, and articles that evaluated primarily adult individuals with depression, without comparison to other psychiatric disorders. Although most of the studies (25 out of 28 analyzed) have shown deficits in some executive subcomponents, these findings are not conclusive because they used different parameters of assessment. Moreover, many variables were not controlled, such as the different subtypes of the disorder, the high level of severity, comorbidity and the use of drugs. Most studies showed different deficits in executive functions in depressed patients, but further longitudinal studies are needed in order to confirm these findings.

On the numerical computation of the Mittag-Leffler function

Recently simple limiting functions establishing upper and lower bounds on the Mittag-Leffler function were found. This paper follows those expressions to design an efficient algorithm for the approximate calculation of expressions usual in fractional-order control systems. The numerical experiments demonstrate the superior efficiency of the proposed method.

On the numerical computation of the Mittag-Leffler function

Recently simple limiting functions establishing upper and lower bounds on the Mittag-Leffler function were found. This paper follows those expressions to design an efficient algorithm for the approximate calculation of expressions usual in fractional-order control systems. The numerical experiments demonstrate the superior efficiency of the proposed method.

Analysis of Systems with Backlash and Impacts through the Describing Function

This paper analyses the dynamical properties of systems with backlash and impact phenomena based on the describing function method. The dynamics is illustrated using the Nyquist and Bode plots and the results are compared with those of standard models.