On an EOQ model for deteriorating items with time-varying demand and partial backlogging

J-T Teng · H-L Yang

45 citations0/0 files storedJournal of the Operational Research Society

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Supply Chain and Inventory Management Reliability and Maintenance Optimization Sustainable Supply Chain Management

Abstract

For seasonal products, fashionable commodities and high-tech products with a short product life cycle, the willingness of a customer to wait for backlogging during a shortage period is diminishing with the length of waiting time. Recently, Chang and Dye developed an inventory model in which the backlogging rate declines as the waiting time increases. In this paper, we complement the shortcoming of their model by adding the non-constant purchase cost into the model. In addition, we show that the total cost is a convex function of the number of replenishments. We further simplify the search process by providing an intuitively good starting value, which reduces the computational complexity significantly. Finally, we characterize the influences of the demand patterns over the replenishment cycles and others.

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References

1996Optimal Pricing and Lot-Sizing Under Conditions of Perishability and Partial Backordering 1999An EOQ model for deteriorating items with time varying demand and partial backlogging 1996Optimal EOQ Models for Deteriorating Items with Time-Varying Demand 2000An optimal replenishment policy for deteriorating items with time-varying demand and partial–exponential type – backlogging 2001Deterministic inventory lot-size models under inflation with shortages and deterioration for fluctuating demand 1999Deterministic lot-size inventory models with shortages and deterioration for fluctuating demand 1989A deterministic lot-size inventory model with shortages and a linear trend in demand 1996A deterministic inventory replenishment model with a linear trend in demand

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2009Optimal inventory policies for deteriorating complementary and substitute items 2004A comparison among various partial backlogging inventory lot-size models for deteriorating items on the basis of maximum profit 2015Fuzzy Inventory Model for Deteriorating Items with Time Dependent Demand and Partial Backlogging 2018Joint inspection and inventory control for deteriorating items with random maximum lifetime

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