Textile Mill Scheduling
Problem formulation
• Variable assignment on the length of each fabric produced and purchased:
X1 - Length of fabric 1 in Yards produced as dobbie looms
X2 - Length of fabric 2 in Yards produced as dobbie looms
X3 - Length of fabric 3 in Yards produced as dobbie looms
X4 - Length of fabric 4 in Yards produced as dobbie looms
X5 - Length of fabric 5 in Yards produced as dobbie looms
X6 - Length of fabric 3 in Yards produced as regular looms
X7 - Length of fabric 4 in Yards produced as regular looms
X8 - Length of fabric 5 in Yards produced as regular looms
X9 - Length of fabric 1 in Yards purchased
X10 - Length of fabric 2 in Yards purchased
X11 - Length of fabric 3 in Yards purchased
X12 - Length of fabric 4 in Yards purchased
X13 - Length of fabric 5 in Yards purchased
• Monthly Data for Scottsville Textile Mill Fabrics Fabric 1 Fabric 2 Fabric 3 Fabric 4 Fabric 5
Demand, D 16,500 22,000 62,000 7,500 62,000
Selling Price, S 0.99 0.86 1.1 1.24 0.7
Variable Cost, V 0.66 0.55 0.49 0.51 0.5
Purchase price, P 0.8 0.7 0.6 0.7 0.7
• Cost
Fabric Manufacturing cost
(Selling Price- Variable Cost) Purchasing Cost
(Selling price- Purchase Price)
1 0.99-0.66= 0.33 0.99-0.8= 0.19
2 0.86-0.55= 0.31 0.86-0.7= 0.16
3 1.1-0.49= 0.61 1.1-0.6= 0.5
4 1.24-0.51= 0.73 1.24-0.7= 0.54
5 0.7-0.5= 0.2 0.7-0.7= 0
• Working Hour in a Month
Dobbie: 8 looms x 24 hours x 30 days= 5760 hours
Regular: 30 looms x 24 hours x 30 days= 21600 hours
• Yard per hour
Fabric

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