In this paper, we analyze a Markovian inventory model for perishable commodities, in which the arrivals of items into the system as well as the demands for these items are assumed to be discrete r.v.'s having a common support {0, 1,…}. Each item in the system is classified into one of N age categories. New items arriving in the system are placed into the first age category. Items of age category j, j = 1,…, N-l, which have not been removed by demand during a day, are placed into age category j+1 at the beginning of the next day. Items of age N, which have not been removed by demand, are registered as outdates. Results concerning the characteristics of such a model are derived for the case of two and three age categories.