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Optimal policy for an inventory system with power demand, backlogged shortages and production rate proportional to demand rate

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

Abstract

This article analyzes an inventory system for items with time-varying demand. The way by which demand occurs during the inventory cycle follows a power demand pattern. The production of items allows to add stock in the inventory during a replenishment period. The production rate is proportional to demand rate. Shortages are allowed and completely backlogged. Holding cost, shortage cost and order cost are the costs considered in the inventory model. The aim consists of the minimization of the total cost per inventory cycle. An efficient approach is developed to obtain the optimal scheduling period and the optimal reorder point. In addition, the economic lot size and the minimum cost of the inventory management is determined. Some numerical examples are presented for illustrating the proposed inventory model.

Suggested Citation

  • Sicilia, Joaquín & González-De-la-Rosa, Manuel & Febles-Acosta, Jaime & Alcaide-López-de-Pablo, David, 2014. "Optimal policy for an inventory system with power demand, backlogged shortages and production rate proportional to demand rate," International Journal of Production Economics, Elsevier, vol. 155(C), pages 163-171.
    • Handle: RePEc:eee:proeco:v:155:y:2014:i:c:p:163-171
    DOI: 10.1016/j.ijpe.2013.11.020
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    References listed on IDEAS

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    1. Maihami, Reza & Nakhai Kamalabadi, Isa, 2012. "Joint pricing and inventory control for non-instantaneous deteriorating items with partial backlogging and time and price dependent demand," International Journal of Production Economics, Elsevier, vol. 136(1), pages 116-122.
    2. Hsueh, Che-Fu, 2011. "An inventory control model with consideration of remanufacturing and product life cycle," International Journal of Production Economics, Elsevier, vol. 133(2), pages 645-652, October.
    3. 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.
    4. 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.
    5. Lineu C. Barbosa & Moshe Friedman, 1978. "Deterministic Inventory Lot Size Models--A General Root Law," Management Science, INFORMS, vol. 24(8), pages 819-826, April.
    6. 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.
    7. 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.
    8. Michael Resh & Moshe Friedman & Lineu C. Barbosa, 1976. "On a General Solution of the Deterministic Lot Size Problem with Time-Proportional Demand," Operations Research, INFORMS, vol. 24(4), pages 718-725, August.
    9. 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.
    10. 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.
    11. 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.
    12. Pando, Valentín & San-José, Luis A. & García-Laguna, Juan & Sicilia, Joaquín, 2013. "An economic lot-size model with non-linear holding cost hinging on time and quantity," International Journal of Production Economics, Elsevier, vol. 145(1), pages 294-303.
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