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written 7.3 years ago by | modified 2.2 years ago by |
Mumbai University > Mechanical Engineering > Sem 7 > Operations Research
Marks: 5 Marks
Year: May 2016
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written 7.3 years ago by | modified 2.2 years ago by |
Mumbai University > Mechanical Engineering > Sem 7 > Operations Research
Marks: 5 Marks
Year: May 2016
written 7.3 years ago by |
Min(Column Max)=3
Max(Row Min)=2
Min(Column Max)= Max(Row Min)
Hence, Saddle Point does not exist.
Using dominance theory,
Step1: Row 3 is dominating row 2.Hence eliminating row 3.
Step2:Addition of column 2 and column 3 is dominating column 1.Hence,eliminating column 3.
Step3:`
-4x+5(1-x)=3x+2(1-x)
-9x+5=x+2
x=3/10
Similarly,
-4y+3(1-y)=5y+2(1-y)
-7y+3=3y+2
y=1/10
Expected value of the game:
5y+2(1-y)
=5(1/10)+2(1-(1/10))
=23/10
=2.3