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This paper proposes a logistic-based approach to a class of inventory problems with shortages and time decay functions. Time decay and shortages are a common phenomena in products with short life cycles, and financial volatility necessitates more accurate characterisation of inventory costs based on time-adjusted value. In this paper an extended approach of Wagner–Whitin (WW) is used to determine lot sizes, replenishment cycle, and schedules. A sensitivity analysis of the proposed optimisation procedure has been conducted to justify its advantages.