An order level inventory model with variable rate of deterioration and alternating replenishing rates considering shortages

In production inventory systems, there are situations in which it is not possible to have single rate of production throughout the production period. Items are produced at different rates during sub-periods so as to meet various constraints that arise due to change in demand pattern, market fluctuations etc. This paper models such a situation by assuming constant rate of demand and varying rates of production. Also, attempts have been made to investigate the model for items that deteriorate according to a special form of Weibull density function for time allowing shortages. In all cycles special cases are discussed. Results are illustrated by numerical examples.