A Time Dependent Order Level Inventory Model for Beta Deterioration in Two Warehouse Systems
Soumendra Kumar Patra, Tapan Kumar Lenka, Er. Purna Chandra Ratha
Abstract
Soumendra Kumar Patra, Tapan Kumar Lenka, Er. Purna Chandra Ratha
Abstract
An inventory problem for a deteriorating item having two separate warehouses is developed under time value of money, whereby one is an own warehouse (OW) of finite dimension(s) and the other is rented warehouse (RW) of infinite dimension(s). Deterioration rate of items in the two warehouses may be different, which is time dependent and deterioration is in the mean beta distribution form. In this study, shortages and complete backlogging have been considered as the other items, whereby the demand rate of items is linear with time in OW and the same is linear with price in case of RW. Also, the stocks of RW transported to OW in continuous release pattern.
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An inventory problem for a deteriorating item having two separate warehouses is developed under time value of money, whereby one is an own warehouse (OW) of finite dimension(s) and the other is rented warehouse (RW) of infinite dimension(s). Deterioration rate of items in the two warehouses may be different, which is time dependent and deterioration is in the mean beta distribution form. In this study, shortages and complete backlogging have been considered as the other items, whereby the demand rate of items is linear with time in OW and the same is linear with price in case of RW. Also, the stocks of RW transported to OW in continuous release pattern.
Key concepts: Warehouse, Economic shortage, Dimension (graph theory), Order (exchange), Value (mathematics), Time value of money, Distribution (mathematics), Economic order quantity