We consider the situation of a supplier plant whose customer plants de
sire just-in-time (JIT) deliveries. Randomness in both the production
and demand processes make satisfying every demand that might occur in
true JIT fashion impossible. Therefore, supplier plants typically nego
tiate bounds on JIT contracts with their customers. In this paper, we
focus on the use Of ''quotas'' or ''target inventory levels'' as a mec
hanism for establishing such bounds. That is, the supplier firm is res
ponsible for meeting periodic demands up to the quota, but not beyond.
In this paper, we consider the problem of setting an appropriate quot
a from the perspective of the supplier plant and interpret our results
in the context of the negotiation process between the supplier and it
s customers. Under the assumption that ''safety capacity'' (i.e., over
time or a vendoring option) is available, we develop two models that a
ddress this problem. The first model assumes that quota shortfalls can
not be carried over to the next regular time production period and are
made up with overtime/vendoring, which incurs fixed plus variable cos
ts. The second model assumes that shortages can be backlogged to the n
ext regular time production period at a cost. We use numerical example
s to demonstrate how the models we developed were used by a clutch sup
plier to a large auto manufacturer to negotiate its JIT contracts.