IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i15p3258-d1201576.html
   My bibliography  Save this article

Discontinuous Economic Growing Quantity Inventory Model

Author

Listed:
  • 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

The classical economic growing quantity (EGQ) model is a key concept in the inventory control problems research literature. The EGQ model is commonly employed for the purpose of inventory control in the management of growing items, such as fish and farm animals, within industries such as livestock, seafood, and aviculture. The economic order quantity (EOQ) model assumes that customer demand is satisfied without interruption in each cycle; however, this assumption is not always true for some companies as they do not have continuous operations, except for item storage, during non-working times such as weekends, natural idle periods, or spare time. In this study, we extend the traditional EGQ model by incorporating the concept of working and non-working periods, resulting in the development of a new model called discontinuous economic growing quantity (DEGQ). Unlike the conventional EGQ model, the DEGQ model considers the presence of intermittent operational periods, in which the firm is actively engaged in its activities, and non-working periods, during which only storage-related operations occur. By incorporating this discontinuity, the DEGQ model provides a more accurate representation of real-world scenarios where businesses operate in a non-continuous manner, thus enhancing the effectiveness of inventory control and management strategies. The study aims to obtain the optimal number of periods in each cycle and the optimal slaughter age for the breeding items, and, subsequently, to find the optimal order size to minimize the total cost. Finally, we propose an optimal analytical procedure to determine the optimal solutions. This procedure entails finding the optimal number of periods using a closed-form equation and determining the optimal slaughter age by exhaustively searching the entire range of possible growth times.

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. "Discontinuous Economic Growing Quantity Inventory Model," Mathematics, MDPI, vol. 11(15), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3258-:d:1201576
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/15/3258/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/15/3258/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Pourmohammad-Zia, Nadia & Karimi, Behrooz & Rezaei, Jafar, 2021. "Food supply chain coordination for growing items: A trade-off between market coverage and cost-efficiency," International Journal of Production Economics, Elsevier, vol. 242(C).
    2. 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.
    3. Sebatjane, Makoena & Adetunji, Olufemi, 2019. "Economic order quantity model for growing items with imperfect quality," Operations Research Perspectives, Elsevier, vol. 6(C).
    4. 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.
    5. Rezaei, Jafar, 2014. "Economic order quantity for growing items," International Journal of Production Economics, Elsevier, vol. 155(C), pages 109-113.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Sebatjane, Makoena, 2022. "The impact of preservation technology investments on lot-sizing and shipment strategies in a three-echelon food supply chain involving growing and deteriorating items," Operations Research Perspectives, Elsevier, vol. 9(C).
    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 Order Quantity for Growing Items with Mortality Function under Sustainable Green Breeding Policy," Mathematics, MDPI, vol. 11(4), pages 1-21, February.
    5. 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.
    6. Pourmohammad-Zia, Nadia & Karimi, Behrooz & Rezaei, Jafar, 2021. "Food supply chain coordination for growing items: A trade-off between market coverage and cost-efficiency," International Journal of Production Economics, Elsevier, vol. 242(C).
    7. Buisman, Marjolein E. & Rohmer, Sonja U.K., 2022. "Inventory decisions for ameliorating products under consideration of stochastic demand," International Journal of Production Economics, Elsevier, vol. 252(C).
    8. Sebatjane, Makoena & Adetunji, Olufemi, 2020. "A three-echelon supply chain for economic growing quantity model with price- and freshness-dependent demand: Pricing, ordering and shipment decisions," Operations Research Perspectives, Elsevier, vol. 7(C).
    9. Solano-Blanco, Alfaima L. & González, Jaime E. & Medaglia, Andrés L., 2023. "Production planning decisions in the broiler chicken supply chain with growth uncertainty," Operations Research Perspectives, Elsevier, vol. 10(C).
    10. 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.
    11. Karzan Ghafour, 2017. "The Role of Items Quantity Constraint to Control the Optimal Economic Order Quantity," Modern Applied Science, Canadian Center of Science and Education, vol. 11(9), pages 1-61, September.
    12. Gharaei, Abolfazl & Almehdawe, Eman, 2020. "Economic growing quantity," International Journal of Production Economics, Elsevier, vol. 223(C).
    13. Guitao Zhang & Xiao Zhang & Hao Sun & Xinyu Zhao, 2021. "Three-Echelon Closed-Loop Supply Chain Network Equilibrium under Cap-and-Trade Regulation," Sustainability, MDPI, vol. 13(11), pages 1-26, June.
    14. Leopoldo Eduardo Cárdenas-Barrón & María José Lea Plaza-Makowsky & María Alejandra Sevilla-Roca & José María Núñez-Baumert & Buddhadev Mandal, 2021. "An Inventory Model for Imperfect Quality Products with Rework, Distinct Holding Costs, and Nonlinear Demand Dependent on Price," Mathematics, MDPI, vol. 9(12), pages 1-20, June.
    15. Nathalia Wolf & Pablo Escalona & Mónica López-Campos & Alejandro Angulo & Jorge Weston, 2023. "On Carbon Tax Effectiveness in Inducing a Clean Technology Transition: An Evaluation Based on Optimal Strategic Capacity Planning," Sustainability, MDPI, vol. 15(15), pages 1-23, July.
    16. Biswas, Indranil & Gupta, Rohit & Tiwari, Sunil & Talluri, Srinivas, 2023. "Multi-echelon supply chain coordination: Contract sequence and cut-off policies," International Journal of Production Economics, Elsevier, vol. 259(C).
    17. Karzan Ghafour & Rezan Rashid, 2017. "Optimizing Multi-Item EOQ when the Constraint of Annual Number of Orders is Active," Modern Applied Science, Canadian Center of Science and Education, vol. 11(1), pages 1-55, September.
    18. Sebatjane, Makoena & Adetunji, Olufemi, 2019. "Economic order quantity model for growing items with imperfect quality," Operations Research Perspectives, Elsevier, vol. 6(C).
    19. Nita H. Shah & Ekta Patel & Kavita Rabari, 2022. "Investigation of carbon emissions due to COVID-19 vaccine inventory," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(1), pages 409-420, February.
    20. Lijie Wang, 2022. "Food Supply Chain Sustainability Strategy for Fresh Retailer and Multi-Output Random Fresh Suppliers after COVID-19," Sustainability, MDPI, vol. 15(1), pages 1-15, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3258-:d:1201576. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.