In this paper we consider the dynamic inventory model with a discrete demand and no discounting. We verify a conjecture of Iglehart about the asymptotic behaviour of the minimal total expected cost. To do this, we give for the denumerable state dynamic programming model a number of conditions...

This paper gives an elementary proof of Iglehart's conjecture about the classical dynamic inventory model. This conjecture states that the minimal total expected cost for a planning horizon of n periods minus n times the minimal long-run average expected cost per period has a finite limit as n -...