Research Article

Optimization of Performance and Emission Characteristics of Diesel Engine with Biodiesel Using Grey-Taguchi Method

Table 5

Calculated grey relational coefficient of all responses and grey relational grade with weightage.

Weighting factor0.30.30.30.010.010.030.010.04Total = 1
No. of exp.Grey relational coefficientā€‰
BPBSFCBTECOHCCO2O2 Overall grey relation grade

10.337650.3333330.3333330.5142860.4301680.5865920.439270.9826340.373445
20.3333330.3383210.3404140.5070420.379310.6441720.41746410.378041
30.336420.4259440.3860930.6923080.5167790.6603770.4053430.8573230.417256
40.3359610.4622240.4198430.8372090.7938140.6441720.4072350.6971250.435404
50.3338860.3542460.3821470.8780490.9058820.6287430.4093840.5803420.38742
60.4061580.6311270.4761570.8780490.6814160.5384620.4553160.5321320.512611
70.4009410.6364560.4984130.8571430.5310340.5384620.4647140.5223080.517082
80.4002890.675220.5512990.9230770.5620440.5497380.4532470.4791810.544128
90.4070540.6955350.6128210.90.8651690.5172410.470350.441770.570799
100.4147480.5665120.5524070.6428570.7064220.5276380.4656440.827040.527902
110.5054740.9186670.73205510.7196260.4585150.5324180.392940.698241
120.4995490.8300830.6746440.9729730.6160.4545450.5381650.3592590.649848
130.5139150.9176680.8640360.9729730.5460990.4625550.5291890.3984740.738431
140.4918980.7236570.6460220.80.6062990.4393310.5561750.4738310.60921
150.5087240.7499710.8405840.8571430.7777780.4585150.5244180.4360950.68211
160.66787210.8486950.972973110.3333330.9741750.853667
170.6737610.9984560.9351020.9230770.5877860.3846150.6789880.3743110.827772
180.6389850.8702370.7818230.8372090.4450870.3818180.6783280.3627140.730059
190.6404620.8538630.8500080.90.6260160.3903350.6499070.3553110.748546
200.6567870.81004810.90.7333330.399240.6198930.3333330.785884
210.8814640.8942410.7022230.5373130.8105260.6069360.4261290.6429920.806833
2210.8643830.7167820.3333330.3333330.33333310.3808190.809582
230.9330530.8527650.7549270.5538460.3989640.3398060.9006450.3529110.799523
240.8842780.8090760.7684890.6923080.5460990.342020.8450360.3510860.778791
250.9862040.8055870.9863630.7659570.6363640.3442620.8211760.3422380.875081