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

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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)

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.

Suggested Citation

  • Amir Hossein Nobil & Erfan Nobil & Leopoldo Eduardo Cárdenas-Barrón & Dagoberto Garza-Núñez & Gerardo Treviño-Garza & Armando Céspedes-Mota & Imelda de Jesús Loera-Hernández & Neale R. Smith, 2023. "Economic Order Quantity for Growing Items with Mortality Function under Sustainable Green Breeding Policy," Mathematics, MDPI, vol. 11(4), pages 1-21, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:1039-:d:1072752
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    References listed on IDEAS

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    1. Cynthia Griselle De-la-Cruz-Márquez & Leopoldo Eduardo Cárdenas-Barrón & Buddhadev Mandal & Neale R. Smith & Rafael Ernesto Bourguet-Díaz & Imelda de Jesús Loera-Hernández & Armando Céspedes-Mota & Ge, 2022. "An Inventory Model in a Three-Echelon Supply Chain for Growing Items with Imperfect Quality, Mortality, and Shortages under Carbon Emissions When the Demand Is Price Sensitive," Mathematics, MDPI, vol. 10(24), pages 1-41, December.
    2. Pasandideh, Seyed Hamid Reza & Niaki, Seyed Taghi Akhavan & Nobil, Amir Hossein & Cárdenas-Barrón, Leopoldo Eduardo, 2015. "A multiproduct single machine economic production quantity model for an imperfect production system under warehouse construction cost," International Journal of Production Economics, Elsevier, vol. 169(C), pages 203-214.
    3. Sebatjane, Makoena & Adetunji, Olufemi, 2019. "Economic order quantity model for growing items with imperfect quality," Operations Research Perspectives, Elsevier, vol. 6(C).
    4. Makoena Sebatjane & Olufemi Adetunji, 2022. "Optimal inventory replenishment and shipment policies in a three-echelon supply chain for growing items with expiration dates," OPSEARCH, Springer;Operational Research Society of India, vol. 59(3), pages 809-838, September.
    5. Michael MacLeod & Ilkka Leinonen & Eileen Wall & Jos Houdijk & Vera Eory & Jay Burns & Bouda Ahmadi & Manuel Gomez Barbero, 2019. "Impact of animal breeding on GHG emissions and farm economics," JRC Research Reports JRC117897, Joint Research Centre.
    6. Cynthia Griselle De-la-Cruz-Márquez & Leopoldo Eduardo Cárdenas-Barrón & Buddhadev Mandal, 2021. "An Inventory Model for Growing Items with Imperfect Quality When the Demand Is Price Sensitive under Carbon Emissions and Shortages," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-23, April.
    7. Rezaei, Jafar, 2014. "Economic order quantity for growing items," International Journal of Production Economics, Elsevier, vol. 155(C), pages 109-113.
    8. Gharaei, Abolfazl & Almehdawe, Eman, 2020. "Economic growing quantity," International Journal of Production Economics, Elsevier, vol. 223(C).
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    Cited by:

    1. Cynthia Griselle De-la-Cruz-Márquez & Leopoldo Eduardo Cárdenas-Barrón & J. David Porter & Imelda de Jesús Loera-Hernández & Neale R. Smith & Armando Céspedes-Mota & Gerardo Treviño-Garza & Rafael Ern, 2023. "An Inventory Model for Growing Items When the Demand Is Price Sensitive with Imperfect Quality, Inspection Errors, Carbon Emissions, and Planned Backorders," Mathematics, MDPI, vol. 11(21), pages 1-45, October.
    2. Mohammed Alnahhal & Batin Latif Aylak & Muataz Al Hazza & Ahmad Sakhrieh, 2024. "Economic Order Quantity: A State-of-the-Art in the Era of Uncertain Supply Chains," Sustainability, MDPI, vol. 16(14), pages 1-19, July.
    3. Amir Hossein Nobil & Erfan Nobil & Leopoldo Eduardo Cárdenas-Barrón & Dagoberto Garza-Núñez & Gerardo Treviño-Garza & Armando Céspedes-Mota & Imelda de Jesús Loera-Hernández & Neale R. Smith, 2023. "Discontinuous Economic Growing Quantity Inventory Model," Mathematics, MDPI, vol. 11(15), pages 1-11, July.
    4. Amir Hossein Nobil & Erfan Nobil & Leopoldo Eduardo Cárdenas-Barrón & Dagoberto Garza-Núñez & Gerardo Treviño-Garza & Armando Céspedes-Mota & Imelda de Jesús Loera-Hernández & Neale R. Smith, 2023. "Economic Growing Quantity Model with Mortality in Newborn Items and Inhibition Cost of Ammonia Production under All-Units Discount Policy," Sustainability, MDPI, vol. 15(10), pages 1-16, May.

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