Consider the following lot sizing problem with side constraints: The produc- tion plan for some product A is to be determined for the next T time periods. At the end of each period, 60% of the products unsold will go back to the assembly line and be renewed (assuming that this does not take up the capacity of the assembly line). The other 40% will be carried to the next time period as inventory. Demand at period t is d,. Production and reassembling cost per unit is c, for time period t. Inventory holding cost per unit is I,. No backorders are allowed. Formulate the problem of finding the minimum cost production plan as an IP model. (Network with Side Constraints)

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TABLE 2.5 Multicommodity Demand
Fruit Type
City
A
B
C
D
1
3
250
150
300
100
4
100
300
250
400
5
6.
50
50
100
50
100
7
200
100
200
100
8
300
300
200
50
9.
150
100
250
300
100
TABLE 2.6 Multicommodity Supply
Fruit Type
Branch Store
A
В
C
D
E
1
400
350
350
150
2
100
500
300
700
3
250
150
500
200
600
2.15 Consider the following lot sizing problem with side constraints: The produc-
tion plan for some product A is to be determined for the next T time periods. At
the end of each period, 60% of the products unsold will go back to the assembly
line and be renewed (assuming that this does not take up the capacity of the
assembly line). The other 40% will be carried to the next time period as
inventory. Demand at period t is d,. Production and reassembling cost per unit
is c, for time period t. Inventory holding cost per unit is 1. No backorders are
allowed. Formulate the problem of finding the minimum cost production plan
as an IP model. (Network with Side Constraints)
Transcribed Image Text:TABLE 2.5 Multicommodity Demand Fruit Type City A B C D 1 3 250 150 300 100 4 100 300 250 400 5 6. 50 50 100 50 100 7 200 100 200 100 8 300 300 200 50 9. 150 100 250 300 100 TABLE 2.6 Multicommodity Supply Fruit Type Branch Store A В C D E 1 400 350 350 150 2 100 500 300 700 3 250 150 500 200 600 2.15 Consider the following lot sizing problem with side constraints: The produc- tion plan for some product A is to be determined for the next T time periods. At the end of each period, 60% of the products unsold will go back to the assembly line and be renewed (assuming that this does not take up the capacity of the assembly line). The other 40% will be carried to the next time period as inventory. Demand at period t is d,. Production and reassembling cost per unit is c, for time period t. Inventory holding cost per unit is 1. No backorders are allowed. Formulate the problem of finding the minimum cost production plan as an IP model. (Network with Side Constraints)
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