An inventory model of deteriorating items with lot-size dependent replenishment cost and a linear trend in demand
نویسندگان
چکیده
This paper presents an inventory model for deteriorating items over a ®nite time horizon where the demand increases linearly with time. The method is developed by assuming that the successive replenishment cycle lengths are the same. Many O.R. scientists/researchers obtained an optimal replenishment schedule where the replenishment cost is constant in each cycle length over the ®nite time horizon. In this paper, we relax the assumption of ®xed replenishment cost. The replenishment cost per replenishment is taken to be linearly dependent on the lot-size of that replenishment. Shortages are allowed and are fully backlogged. As a special case, the results for the model without shortages are derived. Finally, two numerical examples are presented to illustrate the model. Ó 1999 Elsevier Science Inc. All rights reserved.
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