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

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.