
In this section we
summarize formulas for the unrestricted optimums of the decision
variables for the several deterministic models. We are assuming
that all parameters are nonnegative, lot sizes are positive
and fill rates are between 0 and 1 inclusive. For the backordered
cases ,
,
and
indicate respectively that backorder cost is proportional to
waiting time, there is a fixed cost in the event of a backorder
and there is a fixed cost for each unit of backorder. 