This paper develops an inventory model considering a demand disruption and a linear price and time dependent demand. In this model, we analyze two possibilities and apply the FIFO dispatch policy. In the first scenario, the inventories of the owned warehouse (OW) get vacant after the lock-down relieves owing to a shorter lock-down duration, but in the second scenario, the inventories of the OW get vacant during the lock-down due to a longer lock-down duration. A two parametric Weibull distribution has been considered to mirror the real problems caused by deterioration. The study aims to minimize the total cost of a two-warehouse system during the lock-down time. Furthermore, sensitivity analysis was used to investigate the models' behavior. Taking into consideration actual conditions, this model might be useful in an emergency situation like the COVID-19 epidemic.
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