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Economic order quantity for growing items

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  • Rezaei, Jafar

Abstract

Economic order/production quantity (EOQ/EPQ) models have generally been presented for manufacturing products. Incorporating some important features of a specific category of products, different EOQ/EPQ models have been proposed in literature. This study proposes a new class of inventory models, i.e. a model for a specific type of inventory items: growing items. Poultry and livestock are good examples of growing inventory items. We begin by proposing a general mathematical model, which can be used for different types of growing items, followed by a particular mathematical model for a specific type of poultry. We calculate the optimal order quantity of the growing items at the start of a growing cycle, the optimal length of the growing cycle and the optimal total profit. Numerical examples are provided, for a type of poultry, to illustrate the model. A sensitivity analysis is presented to study the effect of the main parameters of the model in terms of its decision variables and objective function. The results of the sensitivity analysis suggest that production costs are the most crucial parameter.

Suggested Citation

  • Rezaei, Jafar, 2014. "Economic order quantity for growing items," International Journal of Production Economics, Elsevier, vol. 155(C), pages 109-113.
    • Handle: RePEc:eee:proeco:v:155:y:2014:i:c:p:109-113
    DOI: 10.1016/j.ijpe.2013.11.026
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    1. Rezaei, Jafar & Salimi, Negin, 2012. "Economic order quantity and purchasing price for items with imperfect quality when inspection shifts from buyer to supplier," International Journal of Production Economics, Elsevier, vol. 137(1), pages 11-18.
    2. Steven Nahmias, 1982. "Perishable Inventory Theory: A Review," Operations Research, INFORMS, vol. 30(4), pages 680-708, August.
    3. Padmanabhan, G. & Vrat, Prem, 1995. "EOQ models for perishable items under stock dependent selling rate," European Journal of Operational Research, Elsevier, vol. 86(2), pages 281-292, October.
    4. Richter, Knut, 1996. "The extended EOQ repair and waste disposal model," International Journal of Production Economics, Elsevier, vol. 45(1-3), pages 443-447, August.
    5. Cardenas-Barron, Leopoldo Eduardo, 2000. "Observation on: "Economic production quantity model for items with imperfect quality" [Int. J. Production Economics 64 (2000) 59-64]," International Journal of Production Economics, Elsevier, vol. 67(2), pages 201-201, September.
    6. Dye, Chung-Yuan & Ouyang, Liang-Yuh, 2005. "An EOQ model for perishable items under stock-dependent selling rate and time-dependent partial backlogging," European Journal of Operational Research, Elsevier, vol. 163(3), pages 776-783, June.
    7. Goyal, Suresh Kumar & Cardenas-Barron, Leopoldo Eduardo, 2002. "Note on: Economic production quantity model for items with imperfect quality - a practical approach," International Journal of Production Economics, Elsevier, vol. 77(1), pages 85-87, May.
    8. Wee, H.M. & Yu, Jonas & Chen, M.C., 2007. "Optimal inventory model for items with imperfect quality and shortage backordering," Omega, Elsevier, vol. 35(1), pages 7-11, February.
    9. Mabini, Marilyn C. & Pintelon, Liliane M. & Gelders, Ludo F., 1992. "EOQ type formulations for controlling repairable inventories," International Journal of Production Economics, Elsevier, vol. 28(1), pages 21-33, November.
    10. Choi, Dae-Won & Hwang, Hark & Koh, Shie-Gheun, 2007. "A generalized ordering and recovery policy for reusable items," European Journal of Operational Research, Elsevier, vol. 182(2), pages 764-774, October.
    11. Salameh, M. K. & Jaber, M. Y., 2000. "Economic production quantity model for items with imperfect quality," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 59-64, March.
    12. Chung, Kun-Jen & Liao, Jui-Jung, 2006. "The optimal ordering policy in a DCF analysis for deteriorating items when trade credit depends on the order quantity," International Journal of Production Economics, Elsevier, vol. 100(1), pages 116-130, March.
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    Cited by:

    1. Gharaei, Abolfazl & Almehdawe, Eman, 2020. "Economic growing quantity," International Journal of Production Economics, Elsevier, vol. 223(C).
    2. Sebatjane, Makoena & Adetunji, Olufemi, 2019. "Economic order quantity model for growing items with imperfect quality," Operations Research Perspectives, Elsevier, vol. 6(C).
    3. 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.
    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. 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.
    6. 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.
    7. 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.
    8. 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).
    9. 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.
    10. 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).
    11. 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).
    12. 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.
    13. 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).
    14. 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.
    15. 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.
    16. 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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