Perishable Inventory Model for Deteriorating Items with Time-Dependent Demand, Partial Backlogging, and Salvage Value

Author(s)	Kiran thakur, Harshvardhan Singh, jaya kushwaha
Country	India
Abstract	In perishable inventory model present for deteriorating items with time-dependent demand and holding cost . The proposed model reflects several realistic features commonly observed in practical inventory systems. Item deterioration occurs continuously over time, which makes the management of perishable or high-value products particularly challenging. Demand is assumed to vary with time, capturing real-world market behavior more accurately than constant demand assumptions. This study the model proposed model considers realistic inventory features such as partial backlogging during shortages and includes salvage value for remaining stock. A comprehensive total cost function covering holding, purchasing, backlogging, lost sales, and salvage return is developed, and optimal policy is obtained by minimizing average cost. The model numerical experiment effectiveness of the proposed model extends existing deteriorating-item inventory systems and offers useful insights for managing perishable or high-value products.
Keywords	Perishable inventory, Time-dependent demand, Partial backlogging, Holding cost, Salvage value.
Field	Mathematics
Published In	Volume 8, Issue 3, May-June 2026
Published On	2026-05-11

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