Economic Order Quantity for Growing Items with Mortality Function under Sustainable Green Breeding Policy

Amir Hossein Nobil, Erfan Nobil, Leopoldo Eduardo Cárdenas-Barrón (), Dagoberto Garza-Núñez, Gerardo Treviño-Garza, Armando Céspedes-Mota, Imelda de Jesús Loera-Hernández and Neale R. Smith
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Amir Hossein Nobil: Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Mexico
Erfan Nobil: Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Mexico
Leopoldo Eduardo Cárdenas-Barrón: Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Mexico
Dagoberto Garza-Núñez: Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Mexico
Gerardo Treviño-Garza: Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Mexico
Armando Céspedes-Mota: Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Mexico
Imelda de Jesús Loera-Hernández: Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Mexico
Neale R. Smith: Tecnológico de Monterrey, School of Engineering and Sciences, E. Garza Sada 2501 Sur, Monterrey 64849, Mexico

Mathematics, 2023, vol. 11, issue 4, 1-21

Abstract: Determining the optimal slaughter age of fast-growing animals regarding the mortality rates and breeding costs plays an important and major role for companies that benefit from their meat. Additionally, the effects of carbon dioxide (CO 2 ) emissions during the growth cycle of animals are a significant concern for governments. This study proposes an economic order quantity (EOQ) for growing items with a mortality function under a sustainable green breeding policy. It assumes that CO 2 production is a practical polynomial function that depends on the age of the animals as well as the mortality function. The aim of the model is to determine the optimal slaughter age and the optimal number of newborn chicks, purchased from the supplier, to minimize the total costs. We propose an analytical approach, with five simple steps, to find the optimal solutions. Finally, we provide a numerical example and some model management insights to help practitioners in this area.

Keywords: economic order quantity (EOQ); economic growing quantity (EGQ); growing items; mortality; carbon dioxide emissions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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