Table 10 Comparison of ISAA-SR-DDLR algorithm with CPLEX in real case.

From: A sampling-based winner determination model and algorithm for logistics service procurement auctions under double uncertainty

H

ISAA-SR-DDLR algorithm

CPLEX

Lower bound

Upper bound(TC)

Estimated gap

95% confidence level

Average

Std.

Average

Std.

Average

Std.

Max gap

Percent(%)

Time(s)

TC

gap

Time

100

471162.153

37.49824

475443.281

508.5476

4281.128

509.9282

5097.013

1.07

111

NA

NA

NA

150

484849.829

39.65969

489297.2

527.3179

4447.371

528.8072

5293.462

1.08

182

NA

NA

NA

200

493431.258

40.90815

498233.004

520.425

4801.746

522.0303

5636.994

1.13

223

NA

NA

NA

300

493511.224

41.15947

498335.967

521.7845

4824.743

523.4053

5662.192

1.14

206

NA

NA

NA

500

493511.224

41.15947

498335.967

521.7845

4824.743

523.4053

5662.192

1.14

205

NA

NA

NA