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Inventory model for an inventory system with time-varying demand rate

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  • Sakaguchi, Michinori

Abstract

The standard inventory problems of the multi-period have been modeled under different situations. Specifically we have considered the demand subjects of a continuous distribution and a discrete distribution, and whether the demand of each period is unchanged or not. A method to get an economic order quantity in inventory systems with discrete and unchanged demand was presented in a previous paper, and this method has been generalized to an inventory model with varying continuous demand. However, it was not achieved due to there being many classified cases in the general situations. In this article the above method is discussed in the case discrete demand to determine whether it increases or decreases from period to period. A theoretical method is presented by using previous results and some examples are given which suggest how the concept can handle on inventory system. In order to make the decision, an algorithm is also presented under some conditions, and examples are shown by using the computer software program, Mathematica, which helps to explain the findings. In general cases, we view the optimal policy in the inventory problems in only a few periods.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:proeco:v:122:y:2009:i:1:p:269-275
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    References listed on IDEAS

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    1. Cheaitou, Ali & van Delft, Christian & Dallery, Yves & Jemai, Zied, 2009. "Two-period production planning and inventory control," International Journal of Production Economics, Elsevier, vol. 118(1), pages 118-130, March.
    2. Christian van Delft & A. Cheaitou y, 2009. "Two-period production planning and inventory control," Post-Print hal-00491696, HAL.
    3. Christian van Delft & Ali Cheaitoua & Yves Dallery & Z. Jemai, 2009. "Two-period production planning and inventory control," Post-Print hal-00471430, HAL.
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    Cited by:

    1. 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.
    2. 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.

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