An Order-Level Inventory Model for a Deteriorating Item with Time-Quadratic Demand and Time-Dependent Partial Backlogging with Shortages in All Cycles

Ruma Roy Chowdhury · Santanu Kumar Ghosh · Kripasindhu S. Chaudhuri

14 citations0/0 files storedAmerican Journal of Mathematical and Management Sciences

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Supply Chain and Inventory Management Sustainable Supply Chain Management Optimization and Mathematical Programming

Abstract

SYNOPTIC ABSTRACTThe purpose of this work is to study an inventory model for a deteriorating item considering time-quadratic demand and time-dependent partial backlogging, which depends on the length of the waiting time for the next replenishment over a finite time horizon and variable replenishment cycle. The model is solved analytically to obtain the optimal solution of the problem. The sufficient condition of the optimal solution is also studied. It is then illustrated with the help of numerical examples.

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References

1973An EOQ Model for Items with Weibull Distribution Deterioration 1977Inventory Replenishment Policy for a Linear Trend in Demand—An Analytical Solution 1981(T, Si) Policy Inventory Model for Deteriorating Items with Time Proportional Demand 1975Optimum production lot size model for a system with deteriorating inventory 1958The Theory of Inventory Management 1999An EOQ model for deteriorating items with time varying demand and partial backlogging 1974A Generalized EOQ Model for Items with Weibull Distribution Deterioration 1995A deterministic lot-size inventory model for deteriorating items with shortages and a declining market

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