Key points are not available for this paper at this time.
The purpose of this paper is to discuss a number of functional equations which arise in the “optimal inventory” problem. This is a particular case of the general problem of ordering in the face of an uncertain future demand. Actually, an important aspect of the problem is that of determining a suitable criterion of cost, one which is both realistic and analytically malleable.
Bellman et al. (1955) studied this question.