0000000565-apparel industry case study

8/13/2019 0000000565-Apparel Industry Case Study

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Apparel

Industry Case

Study By:-Ankit Mozika 211018

Apoorva Agarwal 211030


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The Case

Large amount of wastage in cutting operation

The process involved putting several layers of cloth of

standard width on a table and putting stencils, i.e. thetemplates in order to cut the cloth.

To reduce the wastage the decision was to be made by R&D

department.


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Case Background

Zodiac manufactures different types of shirts

in different sizes.


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Objective Function

Minimize the setup cost.Minimize the number of rotation

Upper bound on the number of layer is 35.


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Decision Variable

X1= Number of rotations required to fulfill the

demand of 54 shirts for size 38


demand of 84 shirts for size 40 X3= Number of rotations required to fulfill the



demand of 60 shirts for size 44 X5= Number of rotations required to fulfill the



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Objective Function

Min Z =X1+X2+X3+X4+X5

Subject to constraints

X1>=2X2>=3

X3>=3

X4>=2

X5>=1

X1, X2, X3, X4, X5 >= 0 and all are integers


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Adding Surplus Variable

Objective Function

Min Z=X1+X2+X3+X4+X5+0S1+0S2+0S3+0S4+0S5

Subject to constraints

X1+S1=2

X2+S2=3

X3+S3=3

X4+S4=2

X5+S5=1

Xi, Si >= 0 and all are integers

Where iis 1 to 5


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Cj 1 1 1 1 1 0 0 0 0 0

BV

X1 X2 X3 X4 X5 S1 S2 S3 S4 S5 Sol.

X1 1 1 0 0 0 0 -1 0 0 0 0 2

X2 1 0 1 0 0 0 0 -1 0 0 0 3

X3 1 0 0 1 0 0 0 0 -1 0 0 3

X4 1 0 0 0 1 0 0 0 0 -1 0 2

X5 1 0 0 0 0 1 0 0 0 0 -1 1

Cj-Zj 0 0 0 0 0 1 1 1 1 1


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Optimal Solution

X1=2

X2=3

X3=3X4=2

X5=1

Min Z = 2+3+3+2+1 = 11


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0000000565-apparel industry case study

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