A single cycle perishable inventory model with time dependent quadratic ramp-type demand and partial backlogging

Shibaji Panda · Samiran Senapati

14 citations0/0 files storedInternational Journal of Operational Research

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

Abstract

In order to analyse the behaviour of inventory level of a product level after it's introduction to the market a single item perishable inventory model is developed in this paper, where it is assumed that the demand is time dependent accelerated growth-effect of accelerated growth-steady type. The deterioration of inventory starts after a certain time. Shortages are allowed and are partially backlogged. The profit function is derived and unique existence of the solution is established. A numerical example is presented and sensitivity of the model is examined. The rationale of time dependent quadratic ramp-type demand is discussed.

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References

1977Inventory Replenishment Policy for a Linear Trend in Demand—An Analytical Solution 1996Optimal EOQ Models for Deteriorating Items with Time-Varying Demand 2001Optimal price and order size for a reseller under partial backordering 2000An optimal replenishment policy for deteriorating items with time-varying demand and partial–exponential type – backlogging 2003An inventory model with deteriorating items, quantity discount, pricing and time-dependent partial backlogging 2004An EOQ model with ramp type demand rate, time dependent deterioration rate, unit production cost and shortages 1994Optimal and heuristic inventory replenishment models for deteriorating items with exponential time-varying demand 2003Economic Order Quantity model with Weibull deterioration distribution, shortage and ramp-type demand

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2010Optimal production rate and production stopping time for perishable seasonal products with ramp-type time-dependent demand 2011Optimal pricing and replenishment policy in a declining price sensitive environment under continuous unit cost decrease 2012Computational approach to an inventory model with ramp-type demand and linear deterioration

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