A production inventory model with deteriorating items and shortages

G. P. Samanta · Ajanta Roy

32 citations0/0 files storedYugoslav journal of operations research

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

Abstract

A continuous production control inventory model for deteriorating items with shortages is developed. A number of structural properties of the inventory system are studied analytically. The formulae for the optimal average system cost, stock level, backlog level and production cycle time are derived when the deterioration rate is very small. Numerical examples are taken to illustrate the procedure of finding the optimal total inventory cost, stock level, backlog level and production cycle time. Sensitivity analysis is carried out to demonstrate the effects of changing parameter values on the optimal solution of the system.

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References

1982Perishable Inventory Theory: A Review 1973An EOQ Model for Items with Weibull Distribution Deterioration 1991Survey of Literature on Continuously Deteriorating Inventory Models 1963A model for an exponentially decaying inventory 1981(T, Si) Policy Inventory Model for Deteriorating Items with Time Proportional Demand 1975Optimum production lot size model for a system with deteriorating inventory 1974A Generalized EOQ Model for Items with Weibull Distribution Deterioration 1991An EOQ Model for Deteriorating Items with Shortages and a Linear Trend in Demand

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