Mathematical Problems in Engineering

Research Article

Some New Dimensions to Construct Economical Circular Weakly Balanced Neighbor Robust Designs

Table 4

MCWBNDs-II for  ≤ 100 and 4≤k ≤ 10.
KSet of shiftsEn
174[3,7,8]+[2,4,5] 
215[1,3,4,5]+[6,14,9,11] 
204[3,4,12]+[5,6,7]0.78
284[4,10,12]+[6,8,9]+[3,7,17]0.77
364[3,10,22]+[7,8,15]+[9,11,12]+[5,13,16]0.76
444[4,10,27]+[8,11,19]+[12,14,16]+[9,13,15]+[5,18,20]0.76
524[8,21,22]+[7,9,32]+[12,13,16]+[10,17,19]+[14,15,18]+[3,23,24]0.76
604[4,26,27]+[8,9,37]+[12,16,21]+[15,17,18]+[14,19,20]+[13,22,24]+
[5,25,28]		0.76
684[4,30,31]+[5,19,42]+[12,22,24]+[15,16,23]+[17,18,20]+[11,21,28]+
[9,25,27]+[6,29,32]		0.76
764[8,33,34]+[5,20,47]+[14,23,32]+[16,17,28]+[19,21,25]+[18,22,24]+
[13,26,27]+[9,30,31]+[3,35,36]		0.84
844[4,25,52]+[8,33,37]+[12,21,40]+[22,23,34]+[19,20,27]+[13,26,36]+
[16,29,38]+[17,30,35]+[15,24,31]+[10,28,39]		0.76
924[5,41,42]+[8,21,57]+[10,36,37]+[16,30,33]+[18,19,38]+[23,24,25]+
[22,27,29]+[26,28,31]+[15,32,34]+[12,39,40]+[3,43,44]		0.75
1004[4,46,47]+[12,40,41]+[11,17,62]+[20,33,34]+[19,31,32]+[24,25,30]+
[22,23,26,29]+[27,28,44]+[14,15,35,36]+[16,37,39]+[6,9,42,43]+
[5,45,48]		0.75
345[4,5,11,12]+[10,13,14,25]+[3,7,8,15]0.82
445[3,8,11,20]+[6,7,10,16]+[4,12,13,14]+[15,18,19,27]30.81
745[3,4,10,55]+[9,11,18,28]+[13,14,15,20]+[26,31,32,35]+[7,17,21,23]+
[5,16,22,30]+[27,29,33,34]		0.81
845[4,5,20,52]+[9,10,17,40]+[12,15,21,30]+[14,16,19,28]+ [13,22,23,25]+[11,18,26,27]+[33,34,35,37]+[31,36,38,39]0.81
286[3,4,5,6,8]+[7,9,10,12,17]0.86
526[3,4,5,7,32]+[8,9,10,11,12]+[15,16,17,18,24]+[13,19,21,22,23]0.84
766[4,5,6,11,47]+[8,9,10,12,30]+[13,14,15,16,17]+[22,23,24,26,36]+
[20,25,27,28,34]+[19,31,32,33,35]		0.84
1006[4,5,6,20,62]+[7,9,11,23,48]+[14,16,17,18,22]+[10,12,19,24,34]+
[28,29,31,45,40]+[32,33,36,35,43]+[26,37,39,41,42]+[25,30,44,46,47]		0.84
187[2,3,4,6,7,13]0.90
607[2,3,4,6,7,37]+[12,13,14,15,27,28]+[21,17,18,19,20,16]+
[8,10,22,24,25,26]		0.87
747[3,4,6,8,17,34]+[9,10,11,12,13,14]+[16,18,20,21,25,33]+
[24,26,28,31,35,55]+[7,22,27,29,30,32]		0.87
208[2,3,4,5,6,7,12]0.70
368[2,3,4,5,6,7,8]+[10,11,12,13,15,16,22]0.77
528[2,4,5,6,7,8,19]+[10,11,12,13,15,16,18]+[14,17,21,22,23,24,32]0.81
688[4,5,6,7,8,17,18]+[12,13,14,15,16,27,28]+[2,19,20,22,23,24,25]+
[10,21,29,30,31,32,42]		0.88
848[4,5,6,7,8,25,26]+[13,14,15,16,20,39,40]+[17,19,21,22,23,24,30]+
[27,28,29,31,33,34,52]+[2,9,10,35,36,37,38]		0.84
1008[2,3,4,7,12,30,41]+[9,10,11,13,14,15,20]+[19,22,23,24,25,35,36]+
[21,26,27,28,29,31,32]+[18,37,39,40,43,44,62]+[33,34,42,45,46,47,48]		0.84
589[2,3,4,5,6,8,9,20]+[13,14,16,17,18,21,22,43]+
[11,12,19,23,24,25,26,27]		0.90
769[3,4,5,6,7,8,9,32]+[12,13,14,15,16,17,18,36]+
[20,21,22,23,24,25,47,27]+[10,26,28,30,31,33,34,35]		0.89
4410[5,6,7,8,9,10,11]+[2,3,12,14,16,18,19]0.91
8410[3,4,5,6,7,8,9]+[13,14,15,16,17,18,19]+[21,22,23,25,26,27,28]+[31,33,34,35,36,37,38]0.91