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Economic production quantity (EPQ) model in ‘pull’ managed single-machine multi-item production systems

Author

Listed:
  • Rossella Pozzi

    (LIUC)

  • Tommaso Rossi

    (LIUC)

  • Matteo Salani

    (IDSIA)

Abstract

For decades researchers have been facing the issue of adapting the economic production quantity (EPQ) to the case of multi-item production contexts characterised by a single (shared) resource with finite capacity. The economic lot scheduling problem (ELSP), which is still of interest to researchers, has addressed this issue. A recent attempt by Rossi et al. (Omega 71:106–113, 2017) addressed the problem while avoiding scheduling. Notwithstanding their relevance, these approaches present limitations in adapting the EPQ model to multi-product ‘pull’ production systems. The present work attempts to overcome these limitations through the development of a methodology based on the equation proposed by Mallya (1992) and restricting items production frequencies to define feasible solutions while avoiding scheduling. The feasibility and performance of the proposed model are evaluated through its application to well-known benchmarking instances (Bomberger’s, Eilon’s and Mallya’s problems) and a large set of test problems.

Suggested Citation

  • Rossella Pozzi & Tommaso Rossi & Matteo Salani, 2024. "Economic production quantity (EPQ) model in ‘pull’ managed single-machine multi-item production systems," Annals of Operations Research, Springer, vol. 332(1), pages 85-105, January.
    • Handle: RePEc:spr:annopr:v:332:y:2024:i:1:d:10.1007_s10479-023-05509-w
    DOI: 10.1007/s10479-023-05509-w
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    References listed on IDEAS

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    1. Amir Hossein Nobil & Amir Hosein Afshar Sedigh & Leopoldo Eduardo Cárdenas-Barrón, 2020. "A multiproduct single machine economic production quantity (EPQ) inventory model with discrete delivery order, joint production policy and budget constraints," Annals of Operations Research, Springer, vol. 286(1), pages 265-301, March.
    2. Rossi, Tommaso & Pozzi, Rossella & Testa, Mariapaola, 2017. "EOQ-based inventory management in single-machine multi-item systems," Omega, Elsevier, vol. 71(C), pages 106-113.
    3. Grznar, J. & Riggle, C., 1997. "An optimal algorithm for the basic period approach to the economic lot scheduling problem," Omega, Elsevier, vol. 25(3), pages 355-364, June.
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    6. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    7. Alcides Santander-Mercado & Maria Jubiz-Diaz, 2016. "The economic lot scheduling problem: a survey," International Journal of Production Research, Taylor & Francis Journals, vol. 54(16), pages 4973-4992, August.
    8. Earl E. Bomberger, 1966. "A Dynamic Programming Approach to a Lot Size Scheduling Problem," Management Science, INFORMS, vol. 12(11), pages 778-784, July.
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