Geodesic
Inventory Models With Ramp-Type Demand for Deteriorating Items With Partial Backlogging and Time-Varing Holding Cost
Yugoslav journal of operations research, Tome 24 (2014) no. 2, p. 249

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In this paper, an inventory model with general ramp-type demand rate, partial backlogging of unsatisfied demand and time-varying holding cost is considered; where the “Time-varying holding cost” means that the holding cost is a function of time, i.e. it is time dependent. The model is studied under the following different replenishment policies: (1) starting with no shortages (2) starting with shortages. Two component demand rate has been used. The backlogging rate is any non-increasing function of the waiting time up to the next replenishment. The optimal replenishment policy is derived for both the above mentioned policies.
Classification : 90B05.
Keywords: Inventory, Ramp-type demand, Time-varying holding cost, Shortages. 
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     author = {Biplab Karmakar and Karabi Dutta Choudhury},
     title = {Inventory {Models} {With} {Ramp-Type} {Demand} for {Deteriorating} {Items} {With} {Partial} {Backlogging} and {Time-Varing} {Holding} {Cost}},
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Biplab Karmakar; Karabi Dutta Choudhury. Inventory Models With Ramp-Type Demand for Deteriorating Items With Partial Backlogging and Time-Varing Holding Cost. Yugoslav journal of operations research, Tome 24 (2014) no. 2, p. 249 . http://geodesic.mathdoc.fr/item/YJOR_2014_24_2_a5/