Table 12 Comparison of Pareto front solutions based on total cost for case study-2.

From: Cost-efficient design and optimization of robotic assembly lines using a non-dominated sorting genetic algorithm framework

Cycle time

Yoosefelahi et.al.,

NSGA- mCAP

Work stations

Total Cost

Nj

Total Cost

Nj

1

2

3

4

5

413

7,804,777

5

6,001,834

5

[r4]

[r3]

[r1]

[r5]

[r3]

420

7,447,794

5

6,029,071

5

[r4]

[r3]

[r1]

[r5]

[r3]

424

6,954,386

5

6,033,919

5

[r4]

[r3]

[r1]

[r5]

[r3]

448

6,934,902

5

5,887,529

5

[r4]

[r3]

[r1]

[r3]

[r3]

456

6,476,045

5

5,845,795

5

[r4]

[r3]

[r1]

[r3]

[r3]

466

6,951,858

5

5,884,534

5

[r4]

[r3]

[r1]

[r3]

[r3]

473

6,523,850

5

5,852,918

5

[r4]

[r3]

[r1]

[r3]

[r3]

474

6,187,839

5

5,880,436

5

[r4]

[r3]

[r1]

[r3]

[r3]

477

6,370,923

5

5,819,251

5

[r4]

[r3]

[r1]

[r3]

[r3]

477

6,936,989

5

5,819,251

5

[r4]

[r3]

[r1]

[r3]

[r3]

478

6,072,387

5

5,881,852

5

[r4]

[r3]

[r1]

[r3]

[r3]

485

6,094,621

5

5,759,719

5

[r4]

[r3]

[r3]

[r3]

[r3]

489

6,029,431

5

5,721,162

4

[r4]

[r3]

[r1]

[r1]

 

504

6,041,066

5

5,566,435

4

[r4]

[r3]

[r1]

[r5]

 

506

5,744,180

5

5,439,659

4

[r4]

[r3]

[r1]

[r3]

 

506

6,728,392

5

5,439,659

4

[r4]

[r3]

[r1]

[r3]

 

522

6,368,395

5

5,405,546

4

[r4]

[r3]

[r1]

[r3]

 

525

6,009,264

5

5,392,992

4

[r4]

[r3]

[r1]

[r3]

 

529

6,228,385

5

5,264,380

4

[r4]

[r3]

[r1]

[r3]

 

531

6,020,181

5

5,324,584

4

[r4]

[r3]

[r1]

[r3]

 

534

6,011,238

5

5,324,584

4

[r4]

[r3]

[r1]

[r3]

 

543

5,938,309

5

5,252,404

4

[r4]

[r3]

[r1]

[r3]

 

546

5,723,295

5

5,183,617

4

[r4]

[r3]

[r5]

[r3]

 

551

6,547,575

5

5,276,254

4

[r4]

[r3]

[r1]

[r3]

 

551

6,934,461

5

5,276,254

4

[r4]

[r3]

[r1]

[r3]

 

576

6,358,604

5

5,292,611

4

[r4]

[r3]

[r1]

[r3]

 

577

5,572,164

5

5,311,116

5

[r3]

[r3]

[r5]

[r3]

[r3]

580

5,503,466

5

5,304,164

5

[r3]

[r3]

[r5]

[r3]

[r3]

581

5,889,736

5

5,311,116

5

[r3]

[r3]

[r5]

[r3]

[r3]

584

5,335,494

5

5,303,178

4

[r4]

[r3]

[r1]

[r3]

 

591

6,710,995

5

5,280,336

5

[r3]

[r3]

[r5]

[r3]

[r3]

644

6,699,524

5

4,760,316

3

[r2]

[r1]

[r5]

  

650

5,468,410

5

4,726,992

3

[r2]

[r1]

[r3]

  

659

6,926,964

5

4,726,992

3

[r2]

[r1]

[r3]

  

680

5,926,571

4

4,610,494

4

[r3]

[r3]

[r3]

[r3]

 

681

6,172,386

4

4,610,494

4

[r3]

[r3]

[r3]

[r3]

 

686

5,919,267

4

4,607,602

4

[r5]

[r3]

[r3]

[r3]

 

697

5,491,124

5

4,580,205

4

[r5]

[r3]

[r3]

[r3]

 

729

6,123,778

4

4,502,579

3

[r2]

[r3]

[r3]

  

802

6,115,886

4

4,128,889

3

[r3]

[r1]

[r3]

  

837

5,944,225

3

4,052,982

3

[r3]

[r1]

[r3]

  

849

6,349,943

5

4,016,052

3

[r3]

[r1]

[r3]

  

849

5,517,236

3

4,016,052

3

[r3]

[r1]

[r3]

  

853

6,766,866

5

4,037,866

3

[r3]

[r1]

[r3]

  

872

5,384,962

4

4,049,137

3

[r3]

[r1]

[r3]

  

885

4,343,018

3

3,872,096

3

[r5]

[r3]

[r3]

  

885

4,717,912

3

3,872,096

3

[r5]

[r3]

[r3]

  

890

5,340,405

4

3,872,096

3

[r5]

[r3]

[r3]

  

894

6,741,835

5

3,844,568

3

[r5]

[r3]

[r3]

  

905

5,289,138

4

3,844,568

3

[r5]

[r3]

[r3]

  

911

6,704,661

5

3,844,568

3

[r5]

[r3]

[r3]

  

911

6,263,610

5

3,844,568

3

[r5]

[r3]

[r3]

  

911

5,388,960

4

3,844,568

3

[r5]

[r3]

[r3]

  

926

5,343,585

4

3,832,102

3

[r3]

[r5]

[r3]

  

931

5,191,424

4

3,822,804

3

[r3]

[r5]

[r3]

  

935

4,550,154

3

3,822,804

3

[r3]

[r5]

[r3]

  

937

5,250,245

4

3,822,804

3

[r3]

[r5]

[r3]

  

952

5,309,229

4

3,807,382

3

[r3]

[r5]

[r3]

  

954

4,525,245

3

3,812,430

3

[r3]

[r5]

[r3]

  

967

6,973,021

5

3,792,121

3

[r3]

[r5]

[r3]

  

970

5,538,610

4

3,792,121

3

[r3]

[r5]

[r3]

  

971

6,549,367

5

3,792,121

3

[r3]

[r5]

[r3]

  

971

6,381,957

5

3,792,121

3

[r3]

[r5]

[r3]

  

986

4,713,560

2

3,819,382

3

[r3]

[r5]

[r3]

  

991

6,483,297

5

3,818,884

3

[r3]

[r5]

[r3]

  

1008

4,684,886

2

3,818,884

3

[r3]

[r5]

[r3]

  

1025

4,283,339

3

3,859,867

3

[r3]

[r5]

[r3]

  

1030

4,508,890

3

3,826,957

3

[r3]

[r5]

[r3]

  

1060

6,924,348

5

3,751,554

2

[r2]

[r3]

   

1061

5,351,874

4

3,751,554

2

[r2]

[r3]

   

1063

5,083,625

4

3,751,554

2

[r2]

[r3]

   

1079

5,342,460

4

3,751,554

2

[r2]

[r3]

   

1079

4,370,096

3

3,751,554

2

[r2]

[r3]

   

1080

5,824,367

4

3,751,554

2

[r2]

[r3]

   

1096

6,904,119

5

3,751,554

2

[r2]

[r3]

   

1096

5,147,591

4

3,751,554

2

[r2]

[r3]

   

1109

3,885,494

3

3,530,104

2

[r3]

[r1]

   

1119

5,758,297

4

3,530,104

2

[r3]

[r1]

   

1127

4,275,842

3

3,530,104

2

[r3]

[r1]

   

1129

4,271,575

3

3,530,104

2

[r3]

[r1]

   

1132

4,358,625

3

3,530,104

2

[r3]

[r1]

   

1158

4,775,093

3

3,530,104

2

[r3]

[r1]

   

1163

3,695,910

2

3,530,104

2

[r3]

[r1]

   

1167

3,691,509

2

3,530,104

2

[r3]

[r1]

   

1179

4,615,755

3

3,530,104

2

[r3]

[r1]

   

1179

3,684,439

2

3,530,104

2

[r3]

[r1]

   

1182

4,260,104

3

3,530,104

2

[r3]

[r1]

   

1211

3,662,931

2

3,550,229

2

[r3]

[r1]

   

1231

3,984,015

3

3,550,229

2

[r3]

[r1]

   

1251

3,639,310

2

3,550,229

2

[r3]

[r1]

   

1259

4,610,494

4

3,550,229

2

[r3]

[r1]

   

1264

3,637,274

2

3,550,229

2

[r3]

[r1]

   

1270

4,615,664

3

3,550,229

2

[r3]

[r1]

   

1292

4,089,723

3

3,556,619

2

[r3]

[r1]

   

1292

3,634,909

2

3,556,619

2

[r3]

[r1]

   

1300

3,622,844

2

3,556,619

2

[r3]

[r1]

   

1325

3,160,494

2

3,160,494

2

[r3]

[r3]

   

1400

3,620,731

2

3,160,494

2

[r3]

[r3]

   

1453

3,609,260

2

3,160,494

2

[r3]

[r3]

   

1463

3,573,158

2

3,160,494

2

[r3]

[r3]

   

1516

3,561,687

2

3,160,494

2

[r3]

[r3]

   

1954

3,885,494

3

3,160,494

2

[r3]

[r3]

   

2104

3,069,424

1

3,069,424

1

[r4]

    

2318

4,089,723

3

2,916,184

1

[r1]

    

2446

3,294,678

2

2,916,184

1

[r1]

    

2495

4,239,373

3

2,916,184

1

[r1]

    

2495

3,160,494

2

2,916,184

1

[r1]

    

2495

3,406,309

2

2,916,184

1

[r1]

    

2545

3,364,723

2

2,916,184

1

[r1]

    

2545

3,267,359

2

2,916,184

1

[r1]

    

2617

2,435,494

1

2,435,494

1

[r3]

    

2617

2,435,494

1

2,435,494

1

[r3]

    
  1. Significant values are in bold.