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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