This research focuses on CONWIP, a closed production control system where a
ll containers traverse a circuit incorporating the entire production line.
We develop estimates, for an important level of work in process inventory,
for four important performance measures: the means and variances of time be
tween departures and flowtime. We develop our estimates through the concept
of a "conceptual bottleneck machine''. This concept enables us to develop
an analogy between deterministic and stochastic systems. This concept also
allows us to handle migrating bottlenecks, an issue generally neglected. Th
e model is widely applicable, assuming only finite means and variances of t
he processing time distributions. We test our model computationally, both a
gainst existing models and on a wide range of randomly generated problems.
Finally we detail insights, obtained from our analytical model, into how CO
NWIP production systems operate. These insights enable us to explain the so
urces of the values of our performance measures, thus aiding system design
and modification.