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Table 4 Performance of the hybrid MPI+OpenMP saCeSS and scalability analysis when the number of processors grows

From: Parameter estimation in large-scale systems biology models: a parallel and self-adaptive cooperative strategy

P

Method

# proc. config.

Mean iter ±std

Mean evals ±std

Mean time ±std(s)

Speedup

  

# (MPI x OpenMP)

    

B1

10-eSS

10

80 ±30

199214 ±44836

5378±1070

-

 

saCeSS

10 (10 x 1)

62 ±21

92122 ±35058

2753±955

1.95

 

saCeSS

10 (5 x 2)

76 ±40

88186 ±46200

2762±1273

1.95

 

20-eSS

20

106 ±34

304972 ±88870

4524±942

-

 

saCeSS

20 (20 x 1)

79 ±38

218871 ±107769

3125±1349

1.45

 

saCeSS

20 (10 x 2)

86 ±43

147268 ±75752

2299±1199

1.97

 

saCeSS

20 (5 x 4)

54 ±19

68907 ±27132

1288±380

3.51

 

40-eSS

40

79 ±21

455091 ±121875

3662±718

-

 

saCeSS

40 (40 x 1)

51 ±19

274628 ±115644

2070±650

1.77

 

saCeSS

40 (20 x 2)

64 ±27

205766 ±93753

1743±759

2.10

 

saCeSS

40 (10 x 4)

58 ±30

111804 ±61212

1130±535

3.24

 

saCeSS

40 (5 x 8)

57 ±29

82414 ±38357

1078±494

3.39

B2

10-eSS

10

450 ±167

1504503 ±541257

1914±714

-

 

saCeSS

10 (10 x 1)

846 ±982

1247699 ±1222378

1694±1677

1.13

 

saCeSS

10 (5 x 2)

630 ±275

916166 ±357665

1298±700

1.47

 

20-eSS

20

355 ±130

2306298 ±851619

1465±546

-

 

saCeSS

20 (20 x 1)

649 ±287

1901601 ±747379

1345±619

1.09

 

saCeSS

20 (10 x 2)

904 ±646

1388211 ±854461

962±616

1.52

 

saCeSS

20 (5 x 4)

609 ±244

925076 ±353594

734±320

2.00

 

40-eSS

40

297 ±108

3878818 ±1478105

1223±447

-

 

saCeSS

40 (40 x 1)

571 ±542

3286363 ±2593258

1326±1764

0.92

 

saCeSS

40 (20 x 2)

766 ±863

2185567 ±2228163

951±1468

1.29

 

saCeSS

40 (10 x 4)

756 ±243

1309744 ±446419

506±180

2.42

 

saCeSS

40 (5 x 8)

522 ±290

801661 ±380553

353±162

3.46

B4

10-eSS

10

99 ±121

2230089 ±2068300

750±692

-

 

saCeSS

10 (10 x 1)

35 ±24

1017956 ±728328

343±240

2.18

 

saCeSS

10 (5 x 2)

177 ±269

1854102 ±2331070

916±1210

0.82

 

20-eSS

20

18 ±22

1206948 ±1177645

176±203

-

 

saCeSS

20 (20 x 1)

11 ±8

819845 ±548341

111±93

1.58

 

saCeSS

20 (10 x 2)

30 ±23

898459 ±657350

215±169

0.82

 

saCeSS

20 (5 x 4)

294 ±692

2090044 ±3980316

736±1453

0.24

 

40-eSS

40

12 ±13

1811454 ±1608998

121±141

-

 

saCeSS

40 (40 x 1)

9 ±5

1254545 ±603925

78±51

1.55

 

saCeSS

40 (20 x 2)

26 ±26

1523817 ±1267964

159±160

0.76

 

saCeSS

40 (10 x 4)

37 ±50

878008 ±1178953

168±238

0.72

 

saCeSS

40 (5 x 8)

159 ±692

1666511 ±3980316

490±446

0.25