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An Inventory System With Partial Backlogging Modeled According To A Linear Function

Author

Listed:
  • L. A. SAN JOSÉ

    (Departamento de Matemática Aplicada, ETS de Ingeniería Informática Campus Miguel Delibes, Universidad de Valladolid, 47011 Valladolid, Spain)

  • J. SICILIA

    (Departamento de Estadística, Investigación Operativa y Computación, Facultad de Matemáticas, Campus de Anchieta s/n., Universidad de La Laguna, 38206 Tenerife, Spain)

  • J. GARCÍA-LAGUNA

    (Departamento de Estadística e Investigación Operativa, Facultad de Ciencias, C/Prado de la Magdalena s/n., Universidad de Valladolid, 47005 Valladolid, Spain)

Abstract

In this paper, we study an inventory system with partial backlogging, in which the backlogging rate is a continuous and nonincreasing two piece function. The total shortage cost includes three significant costs: the unit backorder cost (depending on the backorder time), the opportunity cost, and the goodwill cost. This model generalizes several inventory systems studied by other authors. The optimal policy is characterized through several results, which depend on the values of the known input parameters. Illustrative examples and a sensitivity analysis, which help us understand the theoretical results, are also given.

Suggested Citation

  • L. A. San José & J. Sicilia & J. García-Laguna, 2005. "An Inventory System With Partial Backlogging Modeled According To A Linear Function," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 22(02), pages 189-209.
    • Handle: RePEc:wsi:apjorx:v:22:y:2005:i:02:n:s0217595905000571
    DOI: 10.1142/S0217595905000571
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    Citations

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    Cited by:

    1. Abad, Prakash L., 2008. "Optimal price and order size under partial backordering incorporating shortage, backorder and lost sale costs," International Journal of Production Economics, Elsevier, vol. 114(1), pages 179-186, July.
    2. Joaquín Sicilia & Luis San-José & Juan García-Laguna, 2012. "An inventory model where backordered demand ratio is exponentially decreasing with the waiting time," Annals of Operations Research, Springer, vol. 199(1), pages 137-155, October.
    3. Skouri, K. & Konstantaras, I. & Papachristos, S. & Ganas, I., 2009. "Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate," European Journal of Operational Research, Elsevier, vol. 192(1), pages 79-92, January.
    4. Sudip Adak & G. S. Mahapatra, 2022. "Effect of reliability on multi-item inventory system with shortages and partial backlog incorporating time dependent demand and deterioration," Annals of Operations Research, Springer, vol. 315(2), pages 1551-1571, August.

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