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Table 2 Relative performance of MDP against LP formulation (every setting considers P req and B 1=500)

From: Evaluation of linear relaxations in Ad Network optimization for online marketing

 

Setting 1

Setting 2

Setting 3

Setting 4

Scenario 1

    

B 2

B 1=500

B 1=500

B 1=500

T 1

50,000

50,000

50,000

50,000

T 2

50,000

50,000

50,000

ctr1

\(\frac {B_{1}}{T_{1}}=0.01\)

0.01

0.01

0.01

ctr2

0

0

0.1ctr1=0.001

0.5ctr1=0.005

Performance

1.0181

1.0181

1.0148

1.0060

Scenario 2

    

B 2

B 1=500

B 1=500

B 1=500

B 1=500

T 1

500

50,000

50,000

50,000

T 2

500

50,000

50,000

50,000

ctr1

\(\frac {B_{1}}{T_{1}+T_{2}}\,=\,0.5\)

\(\frac {B_{1}}{T_{1}+T_{2}}\,=\,0.005\)

0.005

0.005

ctr2

ctr1 = 0.5

ctr1 = 0.005

0.9ctr1 = 0.0045

0.5ctr1 = 0.0025

Performance

1.0128

1.0181

1.0123

1.0027