A note on an order-level inventory model for a deteriorating item with time-dependent quadratic demand

An order-level inventory problem is discussed with the demand rate being represented by a continuous, quadratic function of time. It is assumed that a constant fraction of the on-hand inventory deteriorates per unit of time. The solution of the model is discussed both for infinite and finite time-horizon. A numerical example is taken up to illustrate the solution procedure and sensitivity analysis is also carried out. The rationale for the time-dependent quadratic demand is discussed.