Apparel Industry Case Study

8/10/2019 Apparel Industry Case Study

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By:Mimin Ghosh 221070Prashant Nayar 221094

Submitted to:Dr. Hitesh Arora


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There is large amount of wastage in cutting

operation as it was assisted humanly.

Process involved putting several layers of cloth of

on a table and putting stencils and then cutting itrespectively.

R&D Deptt. was contacted for reduction of wastage.


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Zodiac manufactures different sizes for whichthe following table represents the demand.

Size 38 4 42 44 46

Demand 54 84 91 60 29


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We have to minimize the cost- we can do it by reducing he number of

operations.

We can have maximum 35 number of layersof cloth.

We are assuming we are using 1 stencil as wedo not Know the dimension of the Table.


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X1= Number of rotations required to fulfillthe demand of 54 shirts for size 38






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Objective FunctionMinimize Z

=X1+X2+X3+X4+X5 Subject to constraints X1>=2 X2>=3 X3>=3 X4>=2 X5>=1 X1, X2, X3, X4, X5 >= 0 and all are integers


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Objective FunctionMin 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

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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X*1=2X*2=3

X*3=3

X*4=2X*5=1

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


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THANK YOU

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Apparel Industry Case Study