Table 5 A summary of the results for the TCFRS contract, WTCF case, and the centralized model for the test problems in size 1

Metaheuristics

DE

PSO

DE

PSO

SC profit

13,298,249

13,947,572

13,752,702

14,247,235

10,978,833

14,458,049

30%

Manufacturer’s profit

7,246,573

8,129,091

7,868,785

7,904,632

7,011,337

–

13%

Sum of suppliers’ profit

5,051,676

5,818,481

5,883,917

6,342,602

3,967,496

–

60%

Sup₁ profit

1,014,368

1,106,621

1,140,625

1,311,047

726,505

–

80%

Sup₂ profit

999,788

1,143,983

1,063,306

1,190,342

803,168

–

48%

Sup₃ profit

816,640

907,396

985,039

1,038,182

627,508

–

65%

Sup₄ profit

888,754

1,064,509

1,072,505

1,155,677

675,808

–

71%

Sup₅ profit

1,332,127

1,595,971

1,622,442

1,647,354

1,134,507

–

45%

\(\varphi\)

52%

48%

46%

47%

–

–

–

Production quantities

5009

5011

5011

5010

2997

5006

67%

6512

6512

6513

6511

3502

6509

86%

6811

6813

6813

6810

3930

6805

73%

Loan amount

100,773

131,564

88,859

96,553

4,500,000

28,025

–

Runtime

7085

7465

7213

7901

–

–

–