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An inventory model for deteriorating items with shortages and time-varying demand

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  • Sicilia, Joaquín
  • González-De-la-Rosa, Manuel
  • Febles-Acosta, Jaime
  • Alcaide-López-de-Pablo, David

Abstract

A deterministic inventory system for items with a constant deterioration rate is studied. Demand varies in time and it is assumed that it follows a power pattern. Shortages are allowed and backlogged. The ordering cost, the holding cost, the backlogging cost, the deteriorating cost, and the purchasing cost are considered in the inventory management. An approach is proposed to minimize the total cost per inventory cycle. This cost depends on two decision variables: the time at which the inventory level falls to zero and the length of the scheduling period. Numerical examples illustrate the theoretical results.

Suggested Citation

  • Sicilia, Joaquín & González-De-la-Rosa, Manuel & Febles-Acosta, Jaime & Alcaide-López-de-Pablo, David, 2014. "An inventory model for deteriorating items with shortages and time-varying demand," International Journal of Production Economics, Elsevier, vol. 155(C), pages 155-162.
    • Handle: RePEc:eee:proeco:v:155:y:2014:i:c:p:155-162
    DOI: 10.1016/j.ijpe.2014.01.024
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    References listed on IDEAS

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    1. Joaquín Sicilia & Jaime Febles-Acosta & Manuel González-De La Rosa, 2012. "Deterministic Inventory Systems With Power Demand Pattern," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-28.
    2. Sakaguchi, Michinori, 2009. "Inventory model for an inventory system with time-varying demand rate," International Journal of Production Economics, Elsevier, vol. 122(1), pages 269-275, November.
    3. Goyal, S. K. & Giri, B. C., 2001. "Recent trends in modeling of deteriorating inventory," European Journal of Operational Research, Elsevier, vol. 134(1), pages 1-16, October.
    4. Yang, Hui-Ling, 2012. "Two-warehouse partial backlogging inventory models with three-parameter Weibull distribution deterioration under inflation," International Journal of Production Economics, Elsevier, vol. 138(1), pages 107-116.
    5. Taleizadeh, Ata Allah & Mohammadi, Babak & Cárdenas-Barrón, Leopoldo Eduardo & Samimi, Hadi, 2013. "An EOQ model for perishable product with special sale and shortage," International Journal of Production Economics, Elsevier, vol. 145(1), pages 318-338.
    6. Zhao, G. Q. & Yang, J. & Rand, G. K., 2001. "Heuristics for replenishment with linear decreasing demand," International Journal of Production Economics, Elsevier, vol. 69(3), pages 339-345, February.
    7. Balkhi, Zaid T., 2011. "Optimal economic ordering policy with deteriorating items under different supplier trade credits for finite horizon case," International Journal of Production Economics, Elsevier, vol. 133(1), pages 216-223, September.
    8. Yan, Changyuan & Banerjee, Avijit & Yang, Liangbin, 2011. "An integrated production-distribution model for a deteriorating inventory item," International Journal of Production Economics, Elsevier, vol. 133(1), pages 228-232, September.
    9. Yang, J. & Zhao, G. Q. & Rand, G. K., 2004. "An eclectic approach for replenishment with non-linear decreasing demand," International Journal of Production Economics, Elsevier, vol. 92(2), pages 125-131, November.
    10. Goyal, S. K. & Giri, B. C., 2003. "A simple rule for determining replenishment intervals of an inventory item with linear decreasing demand rate," International Journal of Production Economics, Elsevier, vol. 83(2), pages 139-142, February.
    11. Chakrabarti, T. & Chaudhuri, K. S., 1997. "An EOQ model for deteriorating items with a linear trend in demand and shortages in all cycles," International Journal of Production Economics, Elsevier, vol. 49(3), pages 205-213, May.
    12. Omar, Mohd & Yeo, Ivan, 2009. "A model for a production-repair system under a time-varying demand process," International Journal of Production Economics, Elsevier, vol. 119(1), pages 17-23, May.
    13. Joaquín Sicilia & Jaime Febles-Acosta & Manuel González-De la Rosa, 2013. "Economic order quantity for a power demand pattern system with deteriorating items," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 7(5), pages 577-593.
    14. Musa, Abubakar & Sani, Babangida, 2012. "Inventory ordering policies of delayed deteriorating items under permissible delay in payments," International Journal of Production Economics, Elsevier, vol. 136(1), pages 75-83.
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    Cited by:

    1. Janssen, Larissa & Claus, Thorsten & Sauer, Jürgen, 2016. "Literature review of deteriorating inventory models by key topics from 2012 to 2015," International Journal of Production Economics, Elsevier, vol. 182(C), pages 86-112.
    2. Cheng-Fu Huang, 2019. "Evaluation of system reliability for a stochastic delivery-flow distribution network with inventory," Annals of Operations Research, Springer, vol. 277(1), pages 33-45, June.
    3. Sudarshan Bardhan & Haimanti Pal & Bibhas Chandra Giri, 2019. "Optimal replenishment policy and preservation technology investment for a non-instantaneous deteriorating item with stock-dependent demand," Operational Research, Springer, vol. 19(2), pages 347-368, June.
    4. Abu Hashan Md Mashud & Dipa Roy & Yosef Daryanto & Mohd Helmi Ali, 2020. "A Sustainable Inventory Model with Imperfect Products, Deterioration, and Controllable Emissions," Mathematics, MDPI, vol. 8(11), pages 1-21, November.
    5. Cheng-Fu Huang, 2022. "System reliability for a multi-state distribution network with multiple terminals under stocks," Annals of Operations Research, Springer, vol. 311(1), pages 117-130, April.

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