This article considers a two-commodity continuous review inventory system in which the
arriving customers belong to any one of three types, such that type 1 customers demand a
single item of the first commodity, type 2 customers demand bulk items of the second
commodity, and type 3 customers demand one item of the first commodity and bulk items of
the second commodity. The arrivals of all three types of customers are assumed to be a
Markovian arrival process (MAP). It is also assumed that the number of items demanded for
the second commodity is a random variable. The ordering policy is to place orders for both
commodities when the inventory levels are below prefixed levels for both commodities. The
lead time is assumed to have a phase type distribution, and the demands that occur during
stock out period are assumed to be lost. The joint probability distribution for both
commodities is obtained in the steady state case. Various measures of system performance
and the total expected cost rate in the steady state are derived. The results are illustrated
with numerical examples.
’n Tweeprodukstelsel se voorraad vir klante word kontinu hersien. Die vraag na die
produktipes word gekenmerk deur klantvoorkeure. Die versoektempo van klante vir voorraad
word aanvaar as ’n Markovproses. Aannames word gemaak oor vraaghoeveelhede en
aanlooptyd. Die resultate van die ondersoek word voorgehou via syfervoorbeelde.
