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Inventory models with ramp type demand rate, partial backlogging and Weibull deterioration rate

  • Skouri, K.
  • Konstantaras, I.
  • Papachristos, S.
  • Ganas, I.
Registered author(s):

    In this paper, an inventory model with general ramp type demand rate, time dependent (Weibull) deterioration rate and partial backlogging of unsatisfied demand is considered. The model is studied under the following different replenishment policies: (a) starting with no shortages and (b) starting with shortages. The model is fairly general as the demand rate, up to the time point of its stabilization, is a general function of time. The backlogging rate is any non-increasing function of the waiting time up to the next replenishment. The optimal replenishment policy for the model is derived for both the above mentioned policies.

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    Article provided by Elsevier in its journal European Journal of Operational Research.

    Volume (Year): 192 (2009)
    Issue (Month): 1 (January)
    Pages: 79-92

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    Handle: RePEc:eee:ejores:v:192:y:2009:i:1:p:79-92
    Contact details of provider: Web page: http://www.elsevier.com/locate/eor

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    1. 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.
    2. Goyal, S.K., 1987. "Economic ordering policy for deteriorating items over an infinite time horizon," European Journal of Operational Research, Elsevier, vol. 28(3), pages 298-301, March.
    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. San José, L.A. & Sicilia, J. & Garcia-Laguna, J., 2006. "Analysis of an inventory system with exponential partial backordering," International Journal of Production Economics, Elsevier, vol. 100(1), pages 76-86, March.
    5. Deng, Peter Shaohua & Lin, Robert H.-J. & Chu, Peter, 2007. "A note on the inventory models for deteriorating items with ramp type demand rate," European Journal of Operational Research, Elsevier, vol. 178(1), pages 112-120, April.
    6. P. L. Abad, 1996. "Optimal Pricing and Lot-Sizing Under Conditions of Perishability and Partial Backordering," Management Science, INFORMS, vol. 42(8), pages 1093-1104, August.
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