Research Article

A Two-Phase Support Method for Solving Linear Programs: Numerical Experiments

Table 1

Characteristics of the test problems.

LP N C N V N E C 𝐷 ( % ) LP N C N V N E C 𝐷 ( % )

(1) afiro 27 32 8 9,61(35) fffff800 524 854 350 1,39
(2) kb2 43 41 16 16,20 (36) grow22 440 946 440 1,98
(3) sc50a 50 48 20 5,42 (37) standata 359 1075 160 0,79
(4) sc50b 50 48 20 4,92 (38) scsd6 147 1350 147 2,17
(5) adlittle 56 97 15 7,05 (39) standmps 467 1075 268 0,73
(6) blend 74 83 43 7,99 (40) standgub 361 1184 162 0,73
(7) share2b 96 79 13 9,15 (41) scfxm2 660 914 374 0,86
(8) sc105 105 103 45 2,59 (42) scrs8 490 1169 384 0,56
(9) stocfor1 117 111 63 3,44 (43) gfrd-pnc 616 1092 548 0,35
(10) scagr7 129 140 84 2,33 (44) bnl1 643 1175 232 0,68
(11) israel 174 142 0 9,18 (45) ship04s 402 1458 354 0,74
(12) share1b 117 225 89 4,37 (46) fit1p 627 1677 627 0,94
(13) vtpbase 198 203 55 2,26 (47) modszk1 687 1620 687 0,29
(14) sc205 205 203 91 1,32 (48) shell 536 1775 534 0,37
(15) beaconfd 173 262 140 7,45 (49) scfxm3 990 1371 561 0,57
(16) grow7 140 301 140 6,20 (50) 25fv47 821 1571 516 0,81
(17) lotfi 153 308 95 2,29 (51) ship04l 402 2118 354 0,74
(18) brandy 220 249 166 3,92 (52) wood1p 244 2594 243 11,10
(19) e226 223 282 33 4,10 (53) sctap2 1090 1880 470 0,33
(20) bore3d 233 315 214 1,95 (54) ganges 1309 1681 1284 0,31
(21) capri 271 353 142 1,85 (55) scsd8 397 2750 397 0,79
(22) agg 488 163 36 3,03 (56) ship08s 778 2387 698 0,38
(23) scorpion 388 358 280 1,03 (57) ship12s 1151 2763 1045 0,26
(24) bandm 305 472 305 1,73 (58) ctap3 1480 2480 620 0,24
(25) sctap1 300 480 120 1,18 (59) stocfor2 2157 2031 1143 0,19
(26) scfxm1 330 457 187 1,72 (60) czprob 929 3523 890 0,33
(27) agg2 516 302 60 2,75 (61) ship08l 778 4283 698 0,38
(28) agg3 516 302 60 2,76 (62) bnl2 2324 3489 1327 0,17
(29) stair 356 467 209 2,32 (63) ship12l 1151 5427 1045 0,26
(30) scsd1 77 760 77 4,08 (64) d2q06c 2171 5167 1507 0,29
(31) grow15 300 645 300 2,90 (65) woodw 1098 8405 1085 0,41
(32) scagr25 471 500 300 0,66 (66) truss 1000 8806 1000 0,32
(33) fit1d 24 1026 1 54,40 (67) fit2d 25 10500 1 49,10
(34) finnis 497 614 47 0,76 (68) maros-r7 3136 9408 3136 0,49