Up: Production over Time
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The decisions seem to be how many of each
computer to produce in each period at regular time, how many to
produce at overtime, and how much inventory to carry in each period.
Let's denote our time periods t = 1,2,3,4. Let be the number
of notebooks produced in period t at regular time and be the
number of notebooks produced in period t at overtime. Finally, let
be the inventory at the end of period t.
Look at the first quarter: how are these variables restricted and
Clearly we need and . Now, anything
that starts as inventory or is produced in the period must either be
used to meet demand or ends up as inventory at the end of period 1.
For period 2, in addition to the upper bounds, we get the constraint
For period 3, we get
and for period 4 (assuming no inventory at the end):
Our objective charges 2000 for each x, 2200 for each y, and 100
for each i:
Michael A. Trick
Mon Aug 24 14:40:57 EDT 1998