Table 6 A summary of the results for the TCFRS contract, WTCF case, and the centralized model for the test problems in size 2

Metaheuristics

DE

PSO

DE

PSO

SC profit

74,088,902

75,182,250

74,870,277

77,441,587

41,218,764

78,809,192

88%

Manufacturer’s profit

19,579,836

17,821,752

18,077,474

19,011,917

16,056,408

–

18%

Sum of suppliers’ profit

54,509,066

57,360,498

56,792,803

58,429,670

25,162,356

–

132%

Sup₁ profit

7,381,778

7,633,354

7,420,006

7,740,857

3,340,146

–

132%

Sup₂ profit

2,476,572

2,781,045

2,527,691

2,616,109

793,104

–

230%

Sup₃ profit

1,989,850

2,097,831

1,959,889

2,183,604

759,144

–

188%

Sup₄ profit

7,357,915

7,389,269

7,589,997

8,116,049

3,484,164

–

133%

Sup₅ profit

8,054,715

8,189,078

7,878,345

8,197,660

3,722,533

-

120%

Sup₆ profit

5,877,603

6,198,213

7,174,773

6,875,245

3,437,680

–

100%

Sup₇ profit

4,947,177

4,978,116

4,770,886

4,803,188

2,080,143

–

131%

Sup₈ profit

3,897,257

4,075,603

3,994,845

4,062,302

1,655,035

–

145%

Sup₉ profit

7,198,385

7,402,571

6,049,393

7,329,803

3,295,371

–

122%

Sup₁₀ profit

5,976,806

6,615,418

6,359,986

6,504,853

2,595,035

–

151%

\(\varphi\)

23%

21%

21%

22%

–

–

–

Production quantities

1858

1861

1860

1861

945

1860

97%

2019

2021

2020

2021

1023

2018

98%

2430

2431

2432

2430

1316

2425

85%

1582

1577

1581

1580

877

1576

80%

1559

1560

1561

1564

958

1555

63%

Loan amount

800,957

744,926

784,026

718,603

20,000,000

396,918

–

Runtime

18,380

16,600

16,890

15,780

–

–

–