Solving some deterministic finite horizon inventory models

We consider two single-item, deterministic, continuous, finite horizon inventory models having no shortage. A demand rate function, which is relatively general, for the item is assumed. In the first model, units of the item do not deteriorate; while in the second units deteriorate in a constant fraction rate. Some optimality conditions are shown for the models. Based on these properties, single variable search methods are described to obtain globally optimal solutions. Numerical experiments indicate that the methods yield acceptable solutions within small time and are suitable for practical applications.