| Name | NurseRostering/ NurseRostering-05_c18.xml |
| MD5SUM | b6cc1cad0a6ec682295352adb28466c6 |
| Bench Category | COP (optimization problem) |
| Best result obtained on this benchmark | SAT |
| Best value of the objective obtained on this benchmark | 1819 |
| Best CPU time to get the best result obtained on this benchmark | 2400.21 |
| Satisfiable | |
| (Un)Satisfiability was proved | |
| Number of variables | 834 |
| Number of constraints | 2135 |
| Number of domains | 14 |
| Minimum domain size | 1 |
| Maximum domain size | 29 |
| Distribution of domain sizes | [{"size":1,"count":34},{"size":2,"count":170},{"size":3,"count":448},{"size":15,"count":10},{"size":17,"count":140},{"size":29,"count":32}] |
| Minimum variable degree | 2 |
| Maximum variable degree | 23 |
| Distribution of variable degrees | [{"degree":2,"count":322},{"degree":3,"count":64},{"degree":11,"count":16},{"degree":12,"count":15},{"degree":13,"count":1},{"degree":14,"count":12},{"degree":15,"count":17},{"degree":16,"count":22},{"degree":17,"count":26},{"degree":18,"count":24},{"degree":19,"count":109},{"degree":20,"count":73},{"degree":21,"count":82},{"degree":22,"count":46},{"degree":23,"count":5}] |
| Minimum constraint arity | 2 |
| Maximum constraint arity | 32 |
| Distribution of constraint arities | [{"arity":2,"count":782},{"arity":3,"count":692},{"arity":4,"count":166},{"arity":6,"count":230},{"arity":7,"count":132},{"arity":17,"count":84},{"arity":29,"count":48},{"arity":32,"count":1}] |
| Number of extensional constraints | 516 |
| Number of intensional constraints | 266 |
| Distribution of constraint types | [{"type":"extension","count":516},{"type":"intension","count":266},{"type":"regular","count":826},{"type":"sum","count":32},{"type":"count","count":494},{"type":"instantiation","count":1}] |
| Optimization problem | YES |
| Type of objective | min SUM |
This section presents information obtained from the best job displayed in the list (i.e. solvers whose names are not hidden).
objective function: 1819<instantiation type="solution"> <list> x[0][0] x[0][1] x[0][2] x[0][3] x[0][4] x[0][5] x[0][6] x[0][7] x[0][8] x[0][9] x[0][10] x[0][11] x[0][12] x[0][13] x[0][14] x[0][15] x[1][0] x[1][1] x[1][2] x[1][3] x[1][4] x[1][5] x[1][6] x[1][7] x[1][8] x[1][9] x[1][10] x[1][11] x[1][12] x[1][13] x[1][14] x[1][15] x[2][0] x[2][1] x[2][2] x[2][3] x[2][4] x[2][5] x[2][6] x[2][7] x[2][8] x[2][9] x[2][10] x[2][11] x[2][12] x[2][13] x[2][14] x[2][15] x[3][0] x[3][1] x[3][2] x[3][3] x[3][4] x[3][5] x[3][6] x[3][7] x[3][8] x[3][9] x[3][10] x[3][11] x[3][12] x[3][13] x[3][14] x[3][15] x[4][0] x[4][1] x[4][2] x[4][3] x[4][4] x[4][5] x[4][6] x[4][7] x[4][8] x[4][9] x[4][10] x[4][11] x[4][12] x[4][13] x[4][14] x[4][15] x[5][0] x[5][1] x[5][2] x[5][3] x[5][4] x[5][5] x[5][6] x[5][7] x[5][8] x[5][9] x[5][10] x[5][11] x[5][12] x[5][13] x[5][14] x[5][15] x[6][0] x[6][1] x[6][2] x[6][3] x[6][4] x[6][5] x[6][6] x[6][7] x[6][8] x[6][9] x[6][10] x[6][11] x[6][12] x[6][13] x[6][14] x[6][15] x[7][0] x[7][1] x[7][2] x[7][3] x[7][4] x[7][5] x[7][6] x[7][7] x[7][8] x[7][9] x[7][10] x[7][11] x[7][12] x[7][13] x[7][14] x[7][15] x[8][0] x[8][1] x[8][2] x[8][3] x[8][4] x[8][5] x[8][6] x[8][7] x[8][8] x[8][9] x[8][10] x[8][11] x[8][12] x[8][13] x[8][14] x[8][15] x[9][0] x[9][1] x[9][2] x[9][3] x[9][4] x[9][5] x[9][6] x[9][7] x[9][8] x[9][9] x[9][10] x[9][11] x[9][12] x[9][13] x[9][14] x[9][15] x[10][0] x[10][1] x[10][2] x[10][3] x[10][4] x[10][5] x[10][6] x[10][7] x[10][8] x[10][9] x[10][10] x[10][11] x[10][12] x[10][13] x[10][14] x[10][15] x[11][0] x[11][1] x[11][2] x[11][3] x[11][4] x[11][5] x[11][6] x[11][7] x[11][8] x[11][9] x[11][10] x[11][11] x[11][12] x[11][13] x[11][14] x[11][15] x[12][0] x[12][1] x[12][2] x[12][3] x[12][4] x[12][5] x[12][6] x[12][7] x[12][8] x[12][9] x[12][10] x[12][11] x[12][12] x[12][13] x[12][14] x[12][15] x[13][0] x[13][1] x[13][2] x[13][3] x[13][4] x[13][5] x[13][6] x[13][7] x[13][8] x[13][9] x[13][10] x[13][11] x[13][12] x[13][13] x[13][14] x[13][15] x[14][0] x[14][1] x[14][2] x[14][3] x[14][4] x[14][5] x[14][6] x[14][7] x[14][8] x[14][9] x[14][10] x[14][11] x[14][12] x[14][13] x[14][14] x[14][15] x[15][0] x[15][1] x[15][2] x[15][3] x[15][4] x[15][5] x[15][6] x[15][7] x[15][8] x[15][9] x[15][10] x[15][11] x[15][12] x[15][13] x[15][14] x[15][15] x[16][0] x[16][1] x[16][2] x[16][3] x[16][4] x[16][5] x[16][6] x[16][7] x[16][8] x[16][9] x[16][10] x[16][11] x[16][12] x[16][13] x[16][14] x[16][15] x[17][0] x[17][1] x[17][2] x[17][3] x[17][4] x[17][5] x[17][6] x[17][7] x[17][8] x[17][9] x[17][10] x[17][11] x[17][12] x[17][13] x[17][14] x[17][15] x[18][0] x[18][1] x[18][2] x[18][3] x[18][4] x[18][5] x[18][6] x[18][7] x[18][8] x[18][9] x[18][10] x[18][11] x[18][12] x[18][13] x[18][14] x[18][15] x[19][0] x[19][1] x[19][2] x[19][3] x[19][4] x[19][5] x[19][6] x[19][7] x[19][8] x[19][9] x[19][10] x[19][11] x[19][12] x[19][13] x[19][14] x[19][15] x[20][0] x[20][1] x[20][2] x[20][3] x[20][4] x[20][5] x[20][6] x[20][7] x[20][8] x[20][9] x[20][10] x[20][11] x[20][12] x[20][13] x[20][14] x[20][15] x[21][0] x[21][1] x[21][2] x[21][3] x[21][4] x[21][5] x[21][6] x[21][7] x[21][8] x[21][9] x[21][10] x[21][11] x[21][12] x[21][13] x[21][14] x[21][15] x[22][0] x[22][1] x[22][2] x[22][3] x[22][4] x[22][5] x[22][6] x[22][7] x[22][8] x[22][9] x[22][10] x[22][11] x[22][12] x[22][13] x[22][14] x[22][15] x[23][0] x[23][1] x[23][2] x[23][3] x[23][4] x[23][5] x[23][6] x[23][7] x[23][8] x[23][9] x[23][10] x[23][11] x[23][12] x[23][13] x[23][14] x[23][15] x[24][0] x[24][1] x[24][2] x[24][3] x[24][4] x[24][5] x[24][6] x[24][7] x[24][8] x[24][9] x[24][10] x[24][11] x[24][12] x[24][13] x[24][14] x[24][15] x[25][0] x[25][1] x[25][2] x[25][3] x[25][4] x[25][5] x[25][6] x[25][7] x[25][8] x[25][9] x[25][10] x[25][11] x[25][12] x[25][13] x[25][14] x[25][15] x[26][0] x[26][1] x[26][2] x[26][3] x[26][4] x[26][5] x[26][6] x[26][7] x[26][8] x[26][9] x[26][10] x[26][11] x[26][12] x[26][13] x[26][14] x[26][15] x[27][0] x[27][1] x[27][2] x[27][3] x[27][4] x[27][5] x[27][6] x[27][7] x[27][8] x[27][9] x[27][10] x[27][11] x[27][12] x[27][13] x[27][14] x[27][15] ps[0][0] ps[0][1] ps[0][2] ps[1][0] ps[1][1] ps[1][2] ps[2][0] ps[2][1] ps[2][2] ps[3][0] ps[3][1] ps[3][2] ps[4][0] ps[4][1] ps[4][2] ps[5][0] ps[5][1] ps[5][2] ps[6][0] ps[6][1] ps[6][2] ps[7][0] ps[7][1] ps[7][2] ps[8][0] ps[8][1] ps[8][2] ps[9][0] ps[9][1] ps[9][2] ps[10][0] ps[10][1] ps[10][2] ps[11][0] ps[11][1] ps[11][2] ps[12][0] ps[12][1] ps[12][2] ps[13][0] ps[13][1] ps[13][2] ps[14][0] ps[14][1] ps[14][2] ps[15][0] ps[15][1] ps[15][2] ds[0][0] ds[0][1] ds[0][2] ds[1][0] ds[1][1] ds[1][2] ds[2][0] ds[2][1] ds[2][2] ds[3][0] ds[3][1] ds[3][2] ds[4][0] ds[4][1] ds[4][2] ds[5][0] ds[5][1] ds[5][2] ds[6][0] ds[6][1] ds[6][2] ds[7][0] ds[7][1] ds[7][2] ds[8][0] ds[8][1] ds[8][2] ds[9][0] ds[9][1] ds[9][2] ds[10][0] ds[10][1] ds[10][2] ds[11][0] ds[11][1] ds[11][2] ds[12][0] ds[12][1] ds[12][2] ds[13][0] ds[13][1] ds[13][2] ds[14][0] ds[14][1] ds[14][2] ds[15][0] ds[15][1] ds[15][2] ds[16][0] ds[16][1] ds[16][2] ds[17][0] ds[17][1] ds[17][2] ds[18][0] ds[18][1] ds[18][2] ds[19][0] ds[19][1] ds[19][2] ds[20][0] ds[20][1] ds[20][2] ds[21][0] ds[21][1] ds[21][2] ds[22][0] ds[22][1] ds[22][2] ds[23][0] ds[23][1] ds[23][2] ds[24][0] ds[24][1] ds[24][2] ds[25][0] ds[25][1] ds[25][2] ds[26][0] ds[26][1] ds[26][2] ds[27][0] ds[27][1] ds[27][2] wk[0][0] wk[0][1] wk[0][2] wk[0][3] wk[1][0] wk[1][1] wk[1][2] wk[1][3] wk[2][0] wk[2][1] wk[2][2] wk[2][3] wk[3][0] wk[3][1] wk[3][2] wk[3][3] wk[4][0] wk[4][1] wk[4][2] wk[4][3] wk[5][0] wk[5][1] wk[5][2] wk[5][3] wk[6][0] wk[6][1] wk[6][2] wk[6][3] wk[7][0] wk[7][1] wk[7][2] wk[7][3] wk[8][0] wk[8][1] wk[8][2] wk[8][3] wk[9][0] wk[9][1] wk[9][2] wk[9][3] wk[10][0] wk[10][1] wk[10][2] wk[10][3] wk[11][0] wk[11][1] wk[11][2] wk[11][3] wk[12][0] wk[12][1] wk[12][2] wk[12][3] wk[13][0] wk[13][1] wk[13][2] wk[13][3] wk[14][0] wk[14][1] wk[14][2] wk[14][3] wk[15][0] wk[15][1] wk[15][2] wk[15][3] cn[0] cn[1] cn[2] cn[3] cn[4] cn[5] cn[6] cn[7] cn[8] cn[9] cn[10] cn[11] cn[12] cn[13] cn[14] cn[15] cn[16] cn[17] cn[18] cn[19] cn[20] cn[21] cn[22] cn[23] cn[24] cn[25] cn[26] cn[27] cn[28] cn[29] cn[30] cn[31] cn[32] cn[33] cn[34] cn[35] cn[36] cn[37] cn[38] cn[39] cn[40] cn[41] cn[42] cn[43] cn[44] cn[45] cn[46] cn[47] cn[48] cn[49] cn[50] cn[51] cn[52] cn[53] cn[54] cn[55] cn[56] cn[57] cn[58] cn[59] cn[60] cn[61] cn[62] cn[63] cn[64] cn[65] cn[66] cn[67] cn[68] cn[69] cn[70] cn[71] cn[72] cn[73] cn[74] cn[75] cn[76] cn[77] cn[78] cf[0] cf[1] cf[2] cf[3] cf[4] cf[5] cf[6] cf[7] cf[8] cf[9] cf[10] cf[11] cf[12] cf[13] cf[14] cf[15] cf[16] cf[17] cf[18] cf[19] cf[20] cf[21] cf[22] cf[23] cf[24] cf[25] cf[26] cc[0][0] cc[0][1] cc[0][2] cc[1][0] cc[1][1] cc[1][2] cc[2][0] cc[2][1] cc[2][2] cc[3][0] cc[3][1] cc[3][2] cc[4][0] cc[4][1] cc[4][2] cc[5][0] cc[5][1] cc[5][2] cc[6][0] cc[6][1] cc[6][2] cc[7][0] cc[7][1] cc[7][2] cc[8][0] cc[8][1] cc[8][2] cc[9][0] cc[9][1] cc[9][2] cc[10][0] cc[10][1] cc[10][2] cc[11][0] cc[11][1] cc[11][2] cc[12][0] cc[12][1] cc[12][2] cc[13][0] cc[13][1] cc[13][2] cc[14][0] cc[14][1] cc[14][2] cc[15][0] cc[15][1] cc[15][2] cc[16][0] cc[16][1] cc[16][2] cc[17][0] cc[17][1] cc[17][2] cc[18][0] cc[18][1] cc[18][2] cc[19][0] cc[19][1] cc[19][2] cc[20][0] cc[20][1] cc[20][2] cc[21][0] cc[21][1] cc[21][2] cc[22][0] cc[22][1] cc[22][2] cc[23][0] cc[23][1] cc[23][2] cc[24][0] cc[24][1] cc[24][2] cc[25][0] cc[25][1] cc[25][2] cc[26][0] cc[26][1] cc[26][2] cc[27][0] cc[27][1] cc[27][2] </list> <values> 2 0 1 1 2 1 1 0 2 0 2 0 2 2 2 0 2 0 1 1 0 1 1 0 2 0 2 0 2 0 2 0 0 0 1 1 0 2 2 1 1 1 0 2 2 0 2 1 0 0 1 2 0 2 2 2 1 1 0 2 0 0 2 1 0 0 1 2 0 2 0 2 1 2 2 2 0 0 0 1 2 2 2 1 2 0 0 2 1 2 2 0 0 0 0 2 2 2 2 1 2 0 0 2 1 2 2 0 2 0 0 2 0 0 0 1 0 0 2 1 2 1 0 0 2 2 1 2 0 0 0 2 0 1 2 1 2 1 0 0 2 2 1 2 0 2 1 2 0 1 1 1 0 2 0 0 1 2 1 0 0 2 2 1 0 2 1 2 0 2 0 2 1 0 2 1 0 2 2 1 0 2 1 2 0 0 0 2 1 0 2 1 2 2 1 2 2 2 2 2 2 1 0 2 2 0 2 1 2 2 1 2 2 2 2 2 2 1 2 0 2 0 1 1 0 2 2 0 2 0 0 2 0 1 2 0 2 0 1 1 0 2 2 0 2 1 0 1 1 2 2 0 0 2 1 2 0 2 0 0 0 1 0 1 1 2 0 2 1 2 1 2 2 0 0 0 0 1 0 1 2 0 0 2 1 2 1 2 2 0 0 0 0 1 0 1 2 0 0 2 1 2 2 1 0 0 2 2 0 2 2 1 2 1 0 0 1 0 2 1 0 0 2 2 0 2 2 2 2 1 0 0 1 0 2 1 2 0 1 0 2 1 1 2 0 2 2 0 2 0 0 1 2 2 1 0 2 1 1 2 0 2 2 0 2 0 0 1 0 2 1 1 2 1 1 0 1 0 2 0 2 0 0 2 0 0 2 2 0 2 2 1 2 1 0 0 1 0 1 2 0 0 2 2 0 2 2 1 2 1 0 2 1 2 1 2 0 0 1 1 0 0 0 1 1 2 0 2 1 2 1 0 0 0 1 1 0 0 0 1 1 2 0 2 1 2 2 0 18 0 10 16 0 12 5 13 10 7 11 10 18 0 10 6 11 11 10 8 10 3 13 12 6 10 12 6 11 11 17 0 11 16 0 12 4 12 12 17 0 11 6 11 11 5 13 10 5 4 7 7 4 5 5 6 5 6 4 6 7 3 6 6 2 8 5 2 9 7 4 5 6 4 6 6 6 4 5 4 7 6 4 6 2 3 11 2 4 10 7 3 6 5 4 7 6 5 5 7 4 5 7 4 5 6 4 6 6 3 7 6 4 6 5 4 7 6 5 5 6 4 6 4 4 8 7 6 3 7 5 4 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 3 3 0 3 0 0 2 2 0 3 0 0 0 2 2 2 0 0 0 3 3 3 3 3 3 0 0 1 2 0 3 3 3 3 3 1 1 1 0 0 1 1 1 2 3 3 0 0 0 0 0 2 1 1 1 1 1 1 1 1 0 0 0 2 0 0 0 0 3 1 1 1 1 3 3 3 2 1 2 2 0 0 0 0 0 1 1 0 0 0 0 1 1 0 2 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100 0 100 200 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 400 100 0 400 0 0 0 0 0 300 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 </values> </instantiation>