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1
artículo
Publicado 2022
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This article presents an overview of the problem of identifying linear and nonlinear systems (Wiener type) operating in open loop. There are several algorithms that solve this problem, among them are the subspace methods (MOESP and N4SID). In order to evaluate the performance of the MOESP and N4SID methods, a simulated example is presented to compare the performance of these algorithms.
2
artículo
This project aims to develop a performance evaluation model that serves as an application guide for companies with both linear and matrix structures. The project will primarily be conducted in three stages. The initial stage involves an analysis of organizational structures and an examination of various performance evaluation models and frameworks. Subsequently, in the second stage of the project, based on the findings from the analysis stage, the model proposal will be developed. Finally, in the third stage, validation will be carried out with experts to assess the feasibility of the proposal.
3
artículo
Publicado 2015
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In the modeling of many problems on linear optimization is not possible to consider the classic deterministic model because the set of parameters is not fully known due to the significant variation of the data along time or because there is no uniformity on the values. These kind of problems are known as problems with uncertainty and there are different approaches about modeling and methods of solution to resolve them. In this paper we make a review of such approaches focusing basically in stochastic optimization, fuzzy optimization, intervaling optimization and hybrid optimization. The difference between these approaches is perceived in the nature of the data, notions of feasibility and optimality and computational requirements, among others.
4
artículo
Publicado 2015
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In the modeling of many problems on linear optimization is not possible to consider the classic deterministic model because the set of parameters is not fully known due to the significant variation of the data along time or because there is no uniformity on the values. These kind of problems are known as problems with uncertainty and there are different approaches about modeling and methods of solution to resolve them. In this paper we make a review of such approaches focusing basically in stochastic optimization, fuzzy optimization, intervaling optimization and hybrid optimization. The difference between these approaches is perceived in the nature of the data, notions of feasibility and optimality and computational requirements, among others.
5
artículo
Comparison of non-linear models for describing growth curves according to sex in Ovine Chiapas breed
Publicado 2015
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The aim of this study was to establish the growth curves in ovine Chiapas breed according to sex. Three models were used: logistic, von Bertalanffy and Gompertz. Body weight data were obtained from 66 males and 79 females of various ages. The three models showed similar goodness values; however, the logistic model was the best to describe the growth kinetics in this breed for both males and females, although this model tends to overestimate the initial body weights.
6
artículo
Comparison of non-linear models for describing growth curves according to sex in Ovine Chiapas breed
Publicado 2015
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The aim of this study was to establish the growth curves in ovine Chiapas breed according to sex. Three models were used: logistic, von Bertalanffy and Gompertz. Body weight data were obtained from 66 males and 79 females of various ages. The three models showed similar goodness values; however, the logistic model was the best to describe the growth kinetics in this breed for both males and females, although this model tends to overestimate the initial body weights.
7
artículo
Publicado 2018
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This article aims to propose a quantitative criterion to evaluate the feasibility of implementing solutions based on linear programming for solving the vehicle routing problem (VRP). An experimental design was used to measure the relative solution time with a proposed linear programming model. The sample was randomized employing three dispersion scenarios of the delivery points: poorly scattered, scattered and very scattered. A linear programming solver was used to determine the time and iterations necessary for solving the model. As a result, the solution time was found in terms of the number of delivery points and the number of iterations for the proposed scenarios, and the time required to solve the problem was predicted using the proposed model. The research concludes with a proposal of the number of viable points to be solved by linear programming.
8
artículo
Publicado 2018
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This article aims to propose a quantitative criterion to evaluate the feasibility of implementing solutions based on linear programming for solving the vehicle routing problem (VRP). An experimental design was used to measure the relative solution time with a proposed linear programming model. The sample was randomized employing three dispersion scenarios of the delivery points: poorly scattered, scattered and very scattered. A linear programming solver was used to determine the time and iterations necessary for solving the model. As a result, the solution time was found in terms of the number of delivery points and the number of iterations for the proposed scenarios, and the time required to solve the problem was predicted using the proposed model. The research concludes with a proposal of the number of viable points to be solved by linear programming.
9
tesis de grado
Publicado 2025
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La presente tesis propone la implementación del algoritmo Practical Non-linear Model Predictive Control (PNMPC) para controlar el lazo de nivel del Módulo de laboratorio FESTO, el cual se compone de un sistema de dos tanques en cascada conectados por un circuito cerrado donde fluye agua. El PNMPC es un algoritmo de control que soluciona el problema de la no linealidad de los sistemas de nivel sin comprometer el rendimiento del proceso control. Para llevar a efecto esta estrategia de control se ha escrito un código en MATLAB que envía y recibe datos de la planta mediante la arquitectura de comunicación OPC UA a un PLC, que se encarga de operar los componentes del Módulo FESTO. También, se aplicó técnicas de control, usualmente, vistas en los cursos de automatización tales como el controlador PI y el controlador Generalize Predictive Control (GPC) para comparar su rendimiento con...
10
tesis de maestría
Publicado 2021
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La crisis fi nanciera del 2008 en los Estados Unidos de América impulsó a que los economistas se enfocaran en sus determinantes y políticas (Crotty, 2009) para salir de ella. A partir de este esfuerzo, las ideas y el trabajo de (Minsky, 1982) surgieron nuevamente. Steven Keen en (Keen, 1995) presenta un modelo que cristaliza estas ideas en un sistema de ecuaciones diferenciales donde la participación de la deuda es una de las variables e indicadores de una posible crisis. Este modelo es una extensión del modelo en (Goodwin, 1967) donde se añade el sector financiero. El Perú no está exento de una crisis fi nanciera y uno de los motivos es que es un país dependiente del precio del cobre que a su vez depende de grandes economías como China y los Estados Unidos de América que se encuentran en competencia comercial constante. El apalancamiento desmedido de la deuda privada durante ...
11
tesis de maestría
Publicado 2021
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La crisis fi nanciera del 2008 en los Estados Unidos de América impulsó a que los economistas se enfocaran en sus determinantes y políticas (Crotty, 2009) para salir de ella. A partir de este esfuerzo, las ideas y el trabajo de (Minsky, 1982) surgieron nuevamente. Steven Keen en (Keen, 1995) presenta un modelo que cristaliza estas ideas en un sistema de ecuaciones diferenciales donde la participación de la deuda es una de las variables e indicadores de una posible crisis. Este modelo es una extensión del modelo en (Goodwin, 1967) donde se añade el sector financiero. El Perú no está exento de una crisis fi nanciera y uno de los motivos es que es un país dependiente del precio del cobre que a su vez depende de grandes economías como China y los Estados Unidos de América que se encuentran en competencia comercial constante. El apalancamiento desmedido de la deuda privada durante ...
12
artículo
Publicado 2021
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In this paper, we consider a modified SIR model, implementing a population of Pathogens interacting with a human population of Susceptibles, with which we will have 4 ordinary differential equations in our system. The objective of this work is to analyze the stability of the disease free point (local and global) and the endemic equilibrium point (local) of this mathematical model. In addition, numerical simulations to the model are presented to contrast the effects of nonlinear transmission rates and other parameters.
13
artículo
Publicado 2021
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In this work, applying the semigroup theory of linear operators, we study the asymptotic behavior of the solutions of a coupled system that models the vibrations of a standard linear solid with a dissipative thermal effect. In order to verify numerically the established analytical results, a series of numerical simulations are carried out in their one-dimensional form, for which we consider the numerical scheme applying finite differences.
14
artículo
Publicado 2025
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This study investigates market dynamics using a discrete economic model of supply and demand. Initially, the linear case with naïve or static expectations is analyzed, and the stability conditions that lead to different system behaviors, such as convergence to equilibrium, periodic oscillations, or divergence, are determined analytically through the study of fixed points and cobweb dynamics. Subsequently, the analysis is extended to the nonlinear case with adaptive expectations, where the interaction between supply nonlinearity and the expectation formation process is found to generate complex behaviors. The results show how variations in the nonlinearity parameter induce bifurcations observable in time series. The study provides a comprehensive analytical framework that links mathematical properties with observable economic phenomena, offering tools to predict and manage stability in r...
15
artículo
Publicado 2020
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Conventionally, lactation curves of confined dairy cattle have been modelled using non-linear, fixed effects models (MNL). The aims of this study were (i) to assess the fit of non-linear mixed models (MMNL), using the Wood (y = β1xβ2e-β3x) and Wilmink (y = β1 + β2e-0.009x+ β3x) functions to analyse lactation curves under grazing and in the context of heteroscedasticity and correlated errors, and (ii) to evaluate the effect of parity and calving season on the curve parameters for both functions. The Wood and the Wilmink functions were fitted, using MNL and MMNL to 600 milk production records corresponding to 42 lactations from 2004 to 2012 from dairy cattle with 1, 2 or >3 calvings in the wet or dry season from the herd in the IVITA-El Mantaro Research Station (Junin, Perú). For both functions, the MMNL outperformed the MNL in terms of residual standard error reduction, increasi...
16
artículo
Publicado 2020
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Conventionally, lactation curves of confined dairy cattle have been modelled using non-linear, fixed effects models (MNL). The aims of this study were (i) to assess the fit of non-linear mixed models (MMNL), using the Wood (y = β1xβ2e-β3x) and Wilmink (y = β1 + β2e-0.009x+ β3x) functions to analyse lactation curves under grazing and in the context of heteroscedasticity and correlated errors, and (ii) to evaluate the effect of parity and calving season on the curve parameters for both functions. The Wood and the Wilmink functions were fitted, using MNL and MMNL to 600 milk production records corresponding to 42 lactations from 2004 to 2012 from dairy cattle with 1, 2 or >3 calvings in the wet or dry season from the herd in the IVITA-El Mantaro Research Station (Junin, Perú). For both functions, the MMNL outperformed the MNL in terms of residual standard error reduction, increasi...
17
artículo
Publicado 2006
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The article deals with the application of the mixed whole linear programming(MWLP) as a tool for the planning of import within the contex of a company devoted to the manufacturing and selling of steel components. A mathematical model is buil that adapts to the characteristics of the import processes of the company, and whose objetive will be to decide which imports plan with a definite regime and with the minimum of total costs will be chosen. In this second part, the results of the mathematical pattem are presented.
18
artículo
Publicado 2006
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The article deals with the application of the mixed whole linear programming(MWLP) as a tool for the planning of import within the contex of a company devoted to the manufacturing and selling of steel components. A mathematical model is buil that adapts to the characteristics of the import processes of the company, and whose objetive will be to decide which imports plan with a definite regime and with the minimum of total costs will be chosen. In this second part, the results of the mathematical pattem are presented.
19
artículo
Publicado 2021
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This study aims to evaluate the future of confirmed cases of Covid-19 in Peru, using the Gompertz nonlinear regression model. The data were obtained from official reports of the Peru Ministry of Health (MINSA). The accumulated value of fatal cases was subjected to iterative analysis by the non-linear least-squares method to achieve a model. Given the first-order derivative of the predictive model was obtained the daily fatal cases curve. Using the fatality rate as the proportion between infected and fatal cases, both of them would also provide days average lag to estimate the epidemic curve. For the moment, the predictive model suggests that Peru would be in a slow descent in the epidemic curve, moving away from the peak of contagions per day. The trend of reaching about 550 thousand infected and 19 thousand deaths until the end of the year 2020. The predictions of the mathematical model...
20
artículo
Publicado 2012
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Introduction: In order to determine the degree of biological maturation in rodents it is necessary to apply non-invasive and invasive methods, for which studies covering different strains of rats need simple procedures to control the confounding effects of biological maturation they may cause. Objectives: To determine from body mass growth velocity of Wistar male rats and to propose linear regression equations to predict growth velocity peak (GVP). Design: Longitudinal cohort study. Institution: State University of Campinas, São Paulo, Brazil, Department of Pharmacology. Methods: From 101 rats 25 male Wistar rats 21 days old were selected in probabilistic-random (randomized tables). Body mass (g) was assessed every week until 16 weeks of life. For statistical analysis, descriptive statistics were used in arithmetic average (X) and standard deviation (SD). To determine significant differ...
