Research Article

A New Smoothing Method for Mathematical Programs with Complementarity Constraints Based on Logarithm-Exponential Function

Table 1

Comparison between different algorithms.

Prob

1(a)3.2077/3.20774.0604/4.06045/27.1071e-06/3.4786e-08
1(b)3.2077/3.20774.0604/4.06045/27.1063e-06 /3.4786e-08
2(a)3.4494/3.44945.1536/5.15365/22.0042e-08/8.3186e-08
2(b)3.4494/3.44945.1536/5.15365/22.0042e-08/8.3741e-08
3(a)4.6043/4.60432.3894/2.38945/23.5255e-08/5.6882e-07
3(b)4.6043/4.60432.3894/2.38945/23.5255e-08/5.6882e-07
4(a)6.5927/6.59271.3731/1.37315/35.2677e-08/1.1699e-14
4(b)6.5927/6.59271.3731/1.37315/35.2677e-08/1.9621e-17
5-1.0000/-1.0000(0.50,0.50)/(0.50,0.50)6/16.0954e-07/5.2779e-16
6-3.2667e+03/-3.2667e+0393.3333/93.33334/13.7500e-08/2.2901e-16
74.0753e-06/7.1054e-15(0,30.0000)/(0,30.0000)7/27.5895e-07/4.1748e-15
8(a)-343.3453/-343.345355.5513/55.55134/14.6387e-08/3.7728e-09
8(b)-203.1551/-203.155142.5382/42.53824/15.1908e-08/2.6567e-13
8(c)-68.1356/-68.135624.1451/24.14514/16.6333e-08/6.9827e-15
8(d)-19.1541 /-19.154112.3727/12.37274/18.6584e-08/4.8701e-12
8(e)-3.1612/-3.16124.7536/4.75364/11.3410e-07/1.1826e-11
8(f)-346.8932/-346.893250.0000/50.00005/24.4957e-08/6.7134e-04
8(g)-224.0372/-224.062239.7914/39.70035/23.6489e-08/4.2135e-04
8(h)-80.7860/-80.786124.2571/24.25625/21.8589e-08/2.0398e-05
8(i)-22.8371/-22.869013.0197/12.90235/25.4911e-08/1.2813e-04
8(j)-5.3491/ -5.34926.0023/6.00155/21.7337e-08/6.2099e-05
9(a)1.4267e-12/4.7851e-06(10.0,5.0)/(7.0226,7.9755)5/11.6052e-08/1.6627e-13
9(b)5.3783e-15/1.1248e-14(10.0,5.0)/(5.0,9.0)5/27.7636e-07/2.5611e-07
9(c)1.2633e-14/1.8666e-10(10.0,5.0)/(5.0,9.0)5/31.6052e-08/8.6309e-17
9(d)1.6456e-14/9.4146e-12(10.0,5.0)/(5.0,9.0)5/31.6051e-08/3.7030e-15
9(e)1.4267e-12/9.4146e-12(10.0,5.0)/(5.0,9.0)5/31.6052e-08/3.5898e-15
10-6.6000e+03/-6.6000e+03(7.3019,3.4529,11.6981,17.5471) /(7.9142,4.3714,11.0858,16.6286)4/12.5000e-08/2.7393e-15
11-12.6787/-12.6787(0.0,2.0)/(0.0,2.0)5/31.4835e-08/1.08886e-15