Non-Instantaneous deteriorated single product inventory system with break in service while the arrival of demand.

A single product inventory system of non-instantaneous deteriorated items is considered with the implementation of deterministic break (DB) of service in between the replenishment cycle. DB is small compared with the whole replenishment cycle period. Initially the system starts with fixed lot size of items which will optimize the total cost of the inventory cycle. Two types of demands are incorporated such as constant rate of demand prior to DB and linear time dependent demand later DB. Throughout the replenishment cycle, deterioration rate of items is assumed as a constant. No demand is entertained at the time of observation of DB and deterioration in that period is unavoidable. Explicit expressions for optimum cycle duration and initial stock to minimize the total cost of the above considered system in a cycle are derived. Numerical illustration is given along with sensitivity analysis to validate the model. [ABSTRACT FROM AUTHOR]