(a) Determine the cost of each subplan that is possible in this problem (i.e., g(s, t) for s = 1, 2, 3, 4, 5 and t≥ s). (b) From time period 1, apply the generalization of the least unit cost per demand rolling horizon procedure to determine the subplan out of period 1. You should focus on the total costs (including fixed ordering costs, inventory costs, and production costs) per unit demand as you vary the ending time period of the subplan.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section: Chapter Questions
Problem 46P
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dt = demand Kt = ordering cost Ct = cost per item ht = holding cost per item per unit time
Week
1
4
Time Periodt
1
4.
4
t=2 3
500
200
400
800
500
•$3,000
$2,000
$3,000
$4,000
$3,000
$40
$30
$40
$20
$10
$10
$10
$10
10
N/A
Determine the cost of each subplan that is possible in this problem (i.e., g(s, t)
From time period 1, apply the generalization
of the least unit cost per demand rolling horizon procedure to determine the subplan out of
period 1. You should focus on the total costs (including fixed ordering costs, inventory costs,
and production costs) per unit demand as you vary the ending time period of the subplan.
(a)
for s = 1,2, 3, 4, 5 and t > s). (b)
(c)
Apply the 'subplan' algorithm to determine f(s) for s =
1,2, 3, 4, 5. (d)
Based on your results for (c), determine the periods which you order in this problem
in order to minimize the total costs.
Transcribed Image Text:Week 1 4 Time Periodt 1 4. 4 t=2 3 500 200 400 800 500 •$3,000 $2,000 $3,000 $4,000 $3,000 $40 $30 $40 $20 $10 $10 $10 $10 10 N/A Determine the cost of each subplan that is possible in this problem (i.e., g(s, t) From time period 1, apply the generalization of the least unit cost per demand rolling horizon procedure to determine the subplan out of period 1. You should focus on the total costs (including fixed ordering costs, inventory costs, and production costs) per unit demand as you vary the ending time period of the subplan. (a) for s = 1,2, 3, 4, 5 and t > s). (b) (c) Apply the 'subplan' algorithm to determine f(s) for s = 1,2, 3, 4, 5. (d) Based on your results for (c), determine the periods which you order in this problem in order to minimize the total costs.
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