In this paper, we consider a multiple-stage tandem production/inventor
y system producing a single product. Processing time at each stage is
assumed to have a general stationary processing time distribution. The
cost of holding work-in-process (WIP) inventory is different at each
stage. Therefore, decisions on when to release work to the system as w
ell as when to transfer WIP from one stage to another need to be made.
We formulate this problem of release/production control as a Markov d
ecision process. However, the optimal policy is rather complex, making
its implementation impracticable in practice. We therefore investigat
e the performance of simple base stock policies. Our approach aggregat
es several stages into one and uses a simple approximation to compute
`approximately optimal' base stock levels. We present the results of a
simulation study that tests the performance of our approximation in e
stimating the best base stock levels, and the performance of base stoc
k policies as compared with the optimal policy.