Multi-Objective parameter estimation problems: an improved strategy

doi:10.1080/10682760310001598715

Home
/
Papers
/
Multi-Objective parameter estimation problems: an improved strategy

Journal Article•DOI•

Multi-Objective parameter estimation problems: an improved strategy

Claudia Lucia Martins Silva¹, Evaristo C. Biscaia¹•Institutions (1)

Federal University of Rio de Janeiro¹

01 Jun 2004-Inverse Problems in Science and Engineering (Taylor & Francis Group)-Vol. 12, Iss: 3, pp 297-316

TL;DR: In this paper, a multi-objective optimization approach has been applied to solve parameter estimation problems and an improved algorithm based on evolutionary strategies has been proposed to optimize mathematical model parameters, making use of a new concept of fitness function, which determines the reproduction ratio as a function of the population density, and a new class of operators, which enhance the algorithm performance.

read less

Abstract: A multi-objective optimization approach has been applied to solve parameter estimation problems. An improved algorithm, based on evolutionary strategies, has been proposed to optimize mathematical model parameters. The algorithm makes use of a new concept of fitness function, which determines the reproduction ratio as a function of the population density, and a new class of operators, which enhance the algorithm performance. Two processes have been analyzed: a grain cooling process and a grain drying process. In order to estimate the coefficient of heat transfer and the drying rate parameters of these models, minimization of the sum of the least squares of temperature and equilibrium moisture content have been conducted. Experimental data obtained from the soybean cooling in a continuous cross-flow moving bed heat exchanger and the corn drying in a fixed bed dryer have been used to evaluate the estimated parameters. The simulated results demonstrated the algorithm efficiency to perform parameter estimatio...

...read moreread less

Citations

PDF

Open Access

More filters

Journal Article•DOI•

Global optimization of thermal conductivity using stochastic algorithms

[...]

Viviana Cocco Mariani¹, Leandro dos Santos Coelho¹•Institutions (1)

Pontifícia Universidade Católica do Paraná¹

23 Apr 2009-Inverse Problems in Science and Engineering

TL;DR: In this article, the performance of a self-organizing migration algorithm (SOMA), a new stochastic optimization algorithm, has been compared with a genetic algorithm with floating-point representation (GAF) and differential evolution (DE) for an engineering application.

...read moreread less

Abstract: In this article, the performance of a self-organizing migration algorithm (SOMA), a new stochastic optimization algorithm, has been compared with a genetic algorithm with floating-point representation (GAF) and differential evolution (DE) for an engineering application This application is the estimation of the apparent thermal conductivity of foods at freezing temperature using an inverse method Assuming two piecewise functions for apparent thermal conductivity in function of the temperature data, the heat diffusion equation was solved to estimate the unknown variables of inverse problem The thermal conductivity is continuously adjusted by three approaches of stochastic optimization algorithms, used to minimize a performance criterion based on error information for the inverse problem The variables that provide the best fitness between the experimental and predicted time-temperature curves at centre of the food under freezing conditions were obtained Moreover, a statistical analysis showed the agreem

...read moreread less

13 citations

Journal Article•DOI•

Estimation of the apparent thermal diffusivity coefficient using an inverse technique

[...]

Viviana Cocco Mariani¹, Leandro dos Santos Coelho¹•Institutions (1)

Pontifícia Universidade Católica do Paraná¹

19 Jun 2009-Inverse Problems in Science and Engineering

TL;DR: In this article, an inverse heat conduction problem is solved and optimization methods are used to estimate the variable apparent thermal diffusivity coefficient of bananas during the drying process, which is the transport property that controls conduction heat transfer in a transient regime.

...read moreread less

Abstract: In this work, an inverse heat conduction problem is solved and optimization methods are used to estimate the variable apparent thermal diffusivity coefficient of bananas during the drying process. Thermal diffusivity is the transport property that controls conduction heat transfer in a transient regime. During banana drying, the thermal diffusivity modifies with the drying time, i.e. with the temperature and moisture content. The estimation is based on transient temperature measurements taken by a thermocouple on the inner part of the banana on which the heat flow occurs. The inverse problem is solved as an optimization problem where the objective function is minimised by two optimization methods: quasi-Newton (Broyden–Fletcher–Goldfarb–Shanno algorithm) and differential evolution. Numerical experiments are used to test the proposed mathematical model of the measurement of thermal diffusivity coefficient. Specifically, statistical analysis showed no significant differences between reported and estimated c...

...read moreread less

12 citations

DOI•

Evolutionary Computation in Brazil: A Review of the Literature in Two Databases

[...]

Renato Tinós, André C. P. L. F. de Carvalho

01 Jan 2008

TL;DR: A review of the works on EC produced in Brazil indexed in two important databases until April 2006 is presented and it is observed that different terms are used to describe the same elements of EC.

...read moreread less

Abstract: Similar to what can be found all over the world, Evolutionary Computation (EC) has been receiving an increasing attention in Brazil in the last decade. It is possible to find several works on EC, both in theory and applications, produced by Brazilian researchers. In this paper, a review of the works on EC produced in Brazil indexed in two important databases until April 2006 is presented. The papers are classified, and the results are discussed. Most of works on EC produced in Brazil are applications, mainly in the areas where the use of optimization methods is traditional. The EC terminology employed in Brazil is discussed in this paper too. One can observe that different terms are used to describe the same elements of EC.

...read moreread less

7 citations

Additional excerpts

...Genetic Algorithms [446], [82], [3], [182], [151], [429], [33], [249], [122], [239], [38], [405], [345], [167], [169], [236], [128], [334], [126], [11], [431], [210], [406], [193], [163], [343], [410], [246], [435], [378], [448], [55], [238], [32], [121], [166], [323], [404], [319], [264], [208], [244], [428], [152], [376], [117], [389], [235], [96], [256], [279], [65], [200], [212], [342], [305], [66], [251], [453], [297], [135], [281], [237], [316], [232], [189], [434], [42], [444], [81], [69], [451], [199], [280], [307], [339], [375], [255], [94], [219], [409], [302], [385], [104], [95], [390], [290], [254], [70], [83], [31], [420], [202], [72], [168], [324], [21], [16], [241], [411], [337], [49], [127], [436], [45], [366], [6], [14], [415], [273], [421], [399], [327], [423], [93], [315], [270], [338], [194], [326], [60], [417], [8], [261], [18], [267], [353], [347], [371], [416], [245], [276], [425], [119], [333], [118], [233], [218], [401], [85], [450], [185], [380], [158], [164], [13], [400], [424], [209], [355], [172], [262], [335], [396], [419], [90], [407], [242], [124], [84], [222], [229], [91], [26], [71], [108], [178], [272], [381], [216], [360], [89], [301], [379], [286], [364], [165], [393], [125], [19], [282], [382], [87], [248], [289], [44], [447], [58], [77], [30], [9], [250], [107], [228], [10], [320], [161], [12], [278], [240], [314], [43], [437], [271], [24], [15], [291], [48], [155], [445], [196], [329], [363], [433], [92], [440], [138], [181], [226], [430], [439], [103], [207], [221], [427], [356], [377], [39], [112], [57], [220], [78], [25], [183], [402], [73], [442], [4], [368], [268], [136], [418], [176], [269], [17], [79], [174], [162], [392], [115], [365], [197], [114], [357], [234], [266], [98], [299], [328], [37], [311], [296], [201], [177], [159], [358], [130], [294], [432], [132], [349], [391], [359], [413], [150], [171], [211], [170], [213], [313], [275], [5], [22], [438], [369], [36], [310], [110], [137], [387], [223], [259], [408], [352], [325], [370], [120], [330], [336], [51], [383], [247], [344], [100], [260], [64], [129] Evolution Strategies [331], [106], [101], [206], [346] Genetic Programming [52], [20], [54], [153], [274], [7], [56], [191], [306], [304], [154], [180], [303], [300], [308], [35], [277], [455], [257], [258], [309], [350], [29], [298], [53], [332], [28], [160], [312], [367], [422] Miscellaneous [105], [204], [287], [144], [123], [295], [23], [243], [253], [74], [322], [62], [40], [341], [217], [252], [179], [41], [143], [198], [293], [340], [374], [456], [230], [190], [354], [63], [361], [61], [443], [452], [398], [215], [441], [157], [225], [146], [224], [195], [283], [386], [75], [449], [86], [384], [80], [426], [149], [111], [50], [192], [412], [205], [148], [214], [147], [102], [403], [188], [284], [187], [414], [351], [133], [145], [348], [263], [321], [394], [142], [97], [186], [113], [131], [46], [265], [318], [292], [362], [134], [67], [397], [27], [88], [109], [395], [141], [317], [116], [454]...
[...]

Book Chapter•DOI•

Modeling Fischer-Tropsch Product Distribution of a Cobalt-based Catalyst in Different Reaction Media

[...]

Shaik Afzal¹, Jan Blank¹, Rehan Hussain¹, Nimir O. Elbashir¹•Institutions (1)

Texas A&M University at Qatar¹

01 Jan 2015

TL;DR: In this paper, a micro-kinetic model for the Fischer-Tropsch synthesis (FTS) on a cobalt-based catalyst using a MATLAB® code has been developed which uses the Genetic Algorithm Toolbox to estimate parameter values for the kinetic model.

...read moreread less

Abstract: This paper discusses research efforts towards the prediction of hydrocarbon product distribution for the Fischer-Tropsch synthesis (FTS) on a cobalt-based catalyst using a micro-kinetic model taken from the literature. In the first part of the study, a MATLAB® code has been developed which uses the Genetic Algorithm Toolbox to estimate parameter values for the kinetic model. The second part of the study describes an ongoing experimental campaign to validate the model predictions of the fixed-bed reactor FTS product distribution in both conventional (gas phase) and non-conventional (near-critical and supercritical phase) reaction media.

...read moreread less

2 citations

Cites methods from "Multi-Objective parameter estimatio..."

...Genetic algorithms have been used to solve various engineering problems [44] as well as for parameter estimation of kinetic models [41]....
[...]

References

PDF

Open Access

More filters

Book•

Genetic algorithms in search, optimization, and machine learning

[...]

David E. Goldberg

01 Sep 1988

TL;DR: In this article, the authors present the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields, including computer programming and mathematics.

...read moreread less

Abstract: From the Publisher: This book brings together - in an informal and tutorial fashion - the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields Major concepts are illustrated with running examples, and major algorithms are illustrated by Pascal computer programs No prior knowledge of GAs or genetics is assumed, and only a minimum of computer programming and mathematics background is required

...read moreread less

52,797 citations

Book•

Genetic Algorithms

[...]

David E. Goldberg, William Shakespeare

01 Jan 2002

17,039 citations

Book•

Genetic Algorithms + Data Structures = Evolution Programs

[...]

Zbigniew Michalewicz

01 Jan 1992

TL;DR: GAs and Evolution Programs for Various Discrete Problems, a Hierarchy of Evolution Programs and Heuristics, and Conclusions.

...read moreread less

Abstract: 1 GAs: What Are They?.- 2 GAs: How Do They Work?.- 3 GAs: Why Do They Work?.- 4 GAs: Selected Topics.- 5 Binary or Float?.- 6 Fine Local Tuning.- 7 Handling Constraints.- 8 Evolution Strategies and Other Methods.- 9 The Transportation Problem.- 10 The Traveling Salesman Problem.- 11 Evolution Programs for Various Discrete Problems.- 12 Machine Learning.- 13 Evolutionary Programming and Genetic Programming.- 14 A Hierarchy of Evolution Programs.- 15 Evolution Programs and Heuristics.- 16 Conclusions.- Appendix A.- Appendix B.- Appendix C.- Appendix D.- References.

...read moreread less

12,212 citations

Description of DASSL: a differential/algebraic system solver

[...]

Linda R. Petzold

01 Sep 1982

TL;DR: The algorithms and strategies used in DASSL, for the numerical solution of implicit systems of differential/algebraic equations, are outlined, and some of the features of the code are explained.

...read moreread less

Abstract: This paper describes a new code DASSL, for the numerical solution of implicit systems of differential/algebraic equations. These equations are written in the form F(t,y,y') = 0, and they can include systems which are substantially more complex than standard form ODE systems y' = f(t,y). Differential/algebraic equations occur in several diverse applications in the physical world. We outline the algorithms and strategies used in DASSL, and explain some of the features of the code. In addition, we outline briefly what needs to be done to solve a problem using DASSL.

...read moreread less

1,043 citations

"Multi-Objective parameter estimatio..." refers methods in this paper

...The resulting system consists of 300 equations, which were integrated using the solver DASSL [18]....
[...]

Journal Article•DOI•

The Rate of Drying of Solid Materials.

[...]

W. K. Lewis

01 May 1921-Journal of Industrial and Engineering Chemistry

771 citations

"Multi-Objective parameter estimatio..." refers methods in this paper

...Finally, for the sake of comparison, two different correlations proposed in the literature for this process by Mancini [16] and Lewis [19] are presented....
[...]