Aggregate Scheduling Example

Aggregate Scheduling Model
Input Values
Units produced/worker/period           10
Hiring cost/worker  $   10.00
Layoff cost/worker  $   15.00
Holding cost/unit/period  $    2.00
Backorder cost/unit/period  $    4.00
Workforce level 40 38 38 38 38 36
Period: 1 2 3 4 5 6
Demand, units 420 360 390 350 420 340
Production & Labor
Production, units         400         380         380         380         380         360
Last workforce           38           40           38           38           38           38
Workforce change             2            (2)           -             -             -              (2)
Inventory
Units available         400         380         380         380         400         360
Units required         420         380         390         360         420         360
Net inventory          (20)           -            (10)           20          (20)           -  
Ending inventory           -             -             -             20           -             -  
Units backordered           20           -             10           -             20           -  
Costs
Turnover costs  $       20  $       30  $        -    $        -    $        -    $       30
Holding costs  $        -    $        -    $        -    $       40  $        -    $        -  
Backorder costs  $       80  $        -    $       40  $        -    $       80  $        -  
Total costs  $     100  $       30  $       40  $       40  $       80  $       30
Cumulative costs  $     100  $     130  $     170  $     210  $     290  $     320