Inventory models with ramp type demand rate,partial backlogging and Weibull deterioration rate |
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| Authors: | K Skouri I Konstantaras S Papachristos I Ganas |
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| Institution: | 1. Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece;2. Department of Agribusiness, University of Ioannina, 45110 Ioannina, Greece;3. Department of Accounting, Technological Education Institute of Epirus, 48100 Preveza, Greece |
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| Abstract: | 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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| Keywords: | Inventory Ramp type demand Deteriorating items Partial backlogging |
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