Use of nonlinear programming to determine the economically optimal energy density in laying hens diet during phase 2

Afrouziyeh, Mohammad; Saifeddine, Mahmoud; Chamani, Mohammad; Dashti, Ghader; Amirdahri, Saeid

doi:10.3382/japr.2010-00205

Cited by 10 publications

(9 citation statements)

References 6 publications

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“…Elle est plus utilisée pour décrire les interdépendances qui existent entre le niveau d'incorporation d'un ingrédient ou les relations entre les valeurs nutritives (énergie, protéine, calcium…) d'un aliment et les performances induites ou la marge bénéficiaire dégagée sous la forme d'une fonction mathématique (Heydari, 2014). Afrouziyeh et al (2010Afrouziyeh et al ( , 2011 ont utilisé le solveur d'Excel pour optimiser la production des oeufs par programmation non linéaire et pour déterminer les relations qui existent entre le poids d'oeuf et la densité énergétique de l'aliment pondeuse durant la phase 1 (24 à 32 semaines d'âge) et la phase 2 (32 à 44 semaines d'âge).…”

Section: Programmation Non Linéaireunclassified

Etapes et méthodes de formulation d’aliment de volaille : Une synthèse bibliographique

Brah¹,

Houndonougbo²,

Issa³

2016

Int. J. Bio. Chem. Sci

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L'alimentation joue un rôle déterminant dans la réussite et la rentabilité économique des productions avicoles. Lors de la formulation d'un aliment efficient, son coût et sa qualité nutritionnelle qui permet de couvrir tous les besoins nutritionnels essentiels des volailles doivent être considérés. Ce travail basé sur la collecte des articles, fait la revue des étapes à suivre pour la formulation d'aliment de volaille et décrit les méthodes qui ont été utilisées dans la formulation d'aliment de volaille. Le carré de Pearson, l'équation algébrique simultanée, la méthode matérielle et la méthode essai et erreur sont des méthodes manuelles utilisées pour la formulation d'aliment de volaille. Les programmations linéaire, non linéaire, multi objective et quadratique sont quant à elles les méthodes de programmation mathématique de formulation d'aliment de volaille. Les méthodes manuelles permettent de faire une formulation avec peu d'ingrédient et les méthodes mathématiques permettent de faire une formulation à moindre coût.

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Section: Programmation Non Linéaireunclassified

Etapes et méthodes de formulation d’aliment de volaille : Une synthèse bibliographique

Brah¹,

Houndonougbo²,

Issa³

2016

Int. J. Bio. Chem. Sci

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“…Few studies on non-linear programming for the formulation of commercial layer diets have been conducted. Afrouziyeh et al (2010) and Afrouziyeh et al (2011) utilized commercial laying hens from 24 to 32 weeks of age and from 32 to 44 weeks of age, respectively, and formulated feeds using non-linear programming, adjusting dietary metabolizable energy levels to maximize profit, according to feedstuff prices and prices paid per egg. In order to test their model, the authors increased and decreased egg, corn, and soybean meal prices by 25%, and the program corrected the ideal metabolizable energy for maximum profit, showing to be more profitable than linear programming.…”

Section: Introductionmentioning

confidence: 99%

Performance and Egg Quality of Commercial Laying Hens Fed Diets Formulated Using Non-Linear Programming

Almeida

Silva

Saccomani

et al. 2019

Braz. J. Poult. Sci.

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Feed formulation using linear programming consists of determining the mixture of feedstuffs required to meet pre-established animal nutritional requirements at the lowest cost. On the other hand, with the use of non-linear programming, it is possible to define nutritional requirements at the time of formulation, aiming at maximum profit. The objective of the present study was to compare feeds formulated using linear and non-linear programming in terms of live performance and internal and external egg quality of commercial laying hens. A total of 288 Hisex ® White laying hens, 1.540 ± 0.128 g body weight, were evaluated from 33 to 45 weeks of age. Hens were distributed in a completely randomized block design, including six treatments with six replicates of eight birds each. Three treatments consisted of feeds formulated using linear programming and based on the nutritional requirements of Rostagno et al. (2011), of the genetic strain manual, or mathematical models to maximize performance. The other three treatments consisted of feeds formulated using non-linear programming considering typical, favorable, or unfavorable market scenarios. Data were submitted to analysis of variance, and in case of significance (p<0.05), means were grouped using the Scott-Knott test (5%).The treatments did not influence (p>0.05) Haugh unit, albumen height, or external egg quality parameters. Treatment effects (p<0.05) on yolk weight, albumen weight, yolk color, yolk percentage, albumen percentage, and performance parameters were described. In general, feeds formulated using linear programming and based on nutritional requirements obtained by mathematical models and the genetic strain manual promoted better performance results because the feeds were nutritionally denser. However, the treatments that maximized live performance did not result in higher profitability, which was obtained with the diet formulated for a favorable market scenario using nonlinear programming.

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“…As these models use a mechanistic approach, they have a higher degree of complexity to describe live performance, enabling more precise responses and preventing the inconvenience of linearly representing the responses that follow the law of diminishing returns (Oviedo-Rondón, 2007). According to Afrouziyeh et al (2010), the economic interpretation of animal feeding has largely been ignored in the context of nutrition and feed formulation programs.…”

Section: Introductionmentioning

confidence: 99%

“…Broiler feeds were for a long time formulated based on linear models that, although prioritize minimum feed costs, do not take into account some important factors such as bird density, market weight, physical space, and feed energy and protein levels (Afrouziyeh et al, 2011). On the other hand, an increasing number of researchers understands that, in order to work under the concept of precision feeding, nonlinear models, which take into account the factors mentioned above, need to be employed (Penz Jr. et al, 2009).…”

Section: Introductionmentioning

confidence: 99%

Comparison between linear and nonlinear systems of feed formulation for broilers

Dadalt

Butzen

Ribeiro

et al. 2015

Rev. Bras. Cienc. Avic.

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Two experiments were simultaneously carried out to compare feed formulation models: a linear model for minimum cost with a nonlinear model for maximum profitability for one-to 42-d-old broilers. One-dold male or female Cobb 500 broilers (n=2368) were allocated to one of the two trials according to sex. The experiments were performed simultaneously in an experimental poultry farm. Two housing densities were used: high density (HDH), with 14 birds/m 2 , and low density (LDH), with 10 birds/m 2 . The following treatments were evaluated: linear feed formulation and LDH (LF10); nonlinear formulation and LDH (NF10); linear formulation and HDH (LF14); and nonlinear formulation and HDH (NF14). A completely randomized design with four treatments of eight replicates each was applied. Performance and cost per kg of poultry were evaluated. Both formulation systems promoted similar broiler performance. However, the high-density feed using linear formulation reduced body weight in 42-d-old males, but not when nonlinear formulation was used. The NF10 treatment yielded the worst feed conversion ratio (p<0.05) and the lowest cost/kg broiler (p<0.05) for both sexes. The results demonstrate that the nutritional program that yields the best performance is not always the most economical one.

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Use of nonlinear programming to determine the economically optimal energy density in laying hens diet during phase 2

Cited by 10 publications

References 6 publications

Etapes et méthodes de formulation d’aliment de volaille : Une synthèse bibliographique

Etapes et méthodes de formulation d’aliment de volaille : Une synthèse bibliographique

Performance and Egg Quality of Commercial Laying Hens Fed Diets Formulated Using Non-Linear Programming

Comparison between linear and nonlinear systems of feed formulation for broilers

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