poly
Description
Polynomial optimization problems. There are in total 98 instances listed here. 5 instances return error during loading.
Source
There instances are repsorted in a paper: Reduced RLT representations for nonconvex polynomial programming problems. Here is the paper link.
Instance Stats
LT is the JuMP model loading time.
| NAME | LT | NLOPERATOR | SENSE | VAR | BINVAR | INTVAR | CON | LINCON | NLCONS | OTHERCONS |
|---|---|---|---|---|---|---|---|---|---|---|
| d2-n30-pos10-v1 | 6.85 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos10-v2 | 6.99 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos10-v3 | 7.01 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos10-v4 | 6.85 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos10-v5 | 7.06 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos50-v1 | 5.78 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos50-v2 | 5.47 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos50-v3 | 5.73 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos50-v4 | 5.64 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos50-v5 | 5.93 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos90-v1 | 3.63 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos90-v2 | 3.84 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos90-v3 | 3.57 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos90-v4 | 3.83 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d2-n30-pos90-v5 | 3.63 | mul | Min | 31 | 0 | 0 | 17 | 8 | 9 | 0 |
| d3-n19-pos10-v1 | 80.51 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos10-v2 | 79.53 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos10-v3 | 86.13 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos10-v4 | 86.27 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos10-v5 | 77.9 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos50-v1 | 51.74 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos50-v2 | 52.67 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos50-v3 | 52.33 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos50-v4 | 51.16 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos50-v5 | 54.08 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos90-v1 | 15.42 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos90-v2 | 17.32 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos90-v3 | 16.35 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos90-v4 | 15.49 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d3-n19-pos90-v5 | 16.26 | mul | Min | 20 | 0 | 0 | 13 | 4 | 9 | 0 |
| d4-n10-m3-q4 | 16.71 | mul | Min | 11 | 0 | 0 | 8 | 4 | 4 | 0 |
| d4-n10-m3-q6 | 16.42 | mul | Min | 11 | 0 | 0 | 10 | 5 | 5 | 0 |
| d4-n10-m4-q4 | 16.85 | mul | Min | 11 | 0 | 0 | 9 | 5 | 4 | 0 |
| d4-n10-m4-q6 | 15.94 | mul | Min | 11 | 0 | 0 | 11 | 6 | 5 | 0 |
| d4-n11-m1-q6 | 34.01 | mul | Min | 12 | 0 | 0 | 8 | 3 | 5 | 0 |
| d4-n11-m2-q6 | 34.02 | mul | Min | 12 | 0 | 0 | 9 | 4 | 5 | 0 |
| d4-n12-m1-q6 | 73.71 | mul | Min | 13 | 0 | 0 | 8 | 3 | 5 | 0 |
| d4-n12-m2-q6 | 77.59 | mul | Min | 13 | 0 | 0 | 9 | 4 | 5 | 0 |
| d4-n12-pos10-v1 | 151.2 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos10-v2 | 143.29 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos10-v3 | 137.29 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos10-v4 | 132.26 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos10-v5 | 148.25 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos50-v1 | 72.98 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos50-v2 | 79.7 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos50-v3 | 85.96 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos50-v4 | 75.94 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos50-v5 | 79.5 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos90-v1 | 14.87 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos90-v2 | 14.28 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos90-v3 | 13.58 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos90-v4 | 14.67 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n12-pos90-v5 | 14.91 | mul | Min | 13 | 0 | 0 | 7 | 2 | 5 | 0 |
| d4-n8-m3-q4 | 4.73 | mul | Min | 9 | 0 | 0 | 8 | 4 | 4 | 0 |
| d4-n8-m3-q6 | 4.57 | mul | Min | 9 | 0 | 0 | 10 | 5 | 5 | 0 |
| d4-n8-m4-q4 | 4.75 | mul | Min | 9 | 0 | 0 | 9 | 5 | 4 | 0 |
| d4-n8-m4-q6 | 4.72 | mul | Min | 9 | 0 | 0 | 11 | 6 | 5 | 0 |
| d4-n9-m3-q4 | 8.42 | mul | Min | 10 | 0 | 0 | 8 | 4 | 4 | 0 |
| d4-n9-m3-q6 | 8.49 | mul | Min | 10 | 0 | 0 | 10 | 5 | 5 | 0 |
| d4-n9-m4-q4 | 8.7 | mul | Min | 10 | 0 | 0 | 9 | 5 | 4 | 0 |
| d4-n9-m4-q6 | 8.48 | mul | Min | 10 | 0 | 0 | 11 | 6 | 5 | 0 |
| d5-n11-pos10-v1 | - | - | - | - | - | - | - | - | - | |
| d5-n11-pos10-v2 | - | - | - | - | - | - | - | - | - | |
| d5-n11-pos10-v3 | - | - | - | - | - | - | - | - | - | |
| d5-n11-pos10-v4 | - | - | - | - | - | - | - | - | - | |
| d5-n11-pos10-v5 | - | - | - | - | - | - | - | - | - | |
| d5-n11-pos50-v1 | 738.17 | mul | Min | 12 | 0 | 0 | 5 | 1 | 4 | 0 |
| d5-n11-pos50-v2 | 719.31 | mul | Min | 12 | 0 | 0 | 5 | 1 | 4 | 0 |
| d5-n11-pos50-v3 | 758.49 | mul | Min | 12 | 0 | 0 | 5 | 1 | 4 | 0 |
| d5-n11-pos50-v4 | 737.02 | mul | Min | 12 | 0 | 0 | 5 | 1 | 4 | 0 |
| d5-n11-pos50-v5 | 740.36 | mul | Min | 12 | 0 | 0 | 5 | 1 | 4 | 0 |
| d5-n11-pos90-v1 | 85.27 | mul | Min | 12 | 0 | 0 | 5 | 1 | 4 | 0 |
| d5-n11-pos90-v2 | 83.81 | mul | Min | 12 | 0 | 0 | 5 | 1 | 4 | 0 |
| d5-n11-pos90-v3 | 91.16 | mul | Min | 12 | 0 | 0 | 5 | 1 | 4 | 0 |
| d5-n11-pos90-v4 | 86.03 | mul | Min | 12 | 0 | 0 | 5 | 1 | 4 | 0 |
| d5-n11-pos90-v5 | 83.11 | mul | Min | 12 | 0 | 0 | 5 | 1 | 4 | 0 |
| d5-n6-m3-q4 | 4.44 | mul | Min | 7 | 0 | 0 | 8 | 4 | 4 | 0 |
| d5-n6-m3-q6 | 4.61 | mul | Min | 7 | 0 | 0 | 10 | 5 | 5 | 0 |
| d5-n6-m4-q4 | 4.19 | mul | Min | 7 | 0 | 0 | 9 | 5 | 4 | 0 |
| d5-n6-m4-q6 | 4.45 | mul | Min | 7 | 0 | 0 | 11 | 6 | 5 | 0 |
| d5-n7-m3-q4 | 10.29 | mul | Min | 8 | 0 | 0 | 8 | 4 | 4 | 0 |
| d5-n7-m3-q6 | 10.98 | mul | Min | 8 | 0 | 0 | 10 | 5 | 5 | 0 |
| d5-n7-m4-q4 | 10.02 | mul | Min | 8 | 0 | 0 | 9 | 5 | 4 | 0 |
| d5-n7-m4-q6 | 11.01 | mul | Min | 8 | 0 | 0 | 11 | 6 | 5 | 0 |
| d5-n8-m3-q4 | 29.4 | mul | Min | 9 | 0 | 0 | 8 | 4 | 4 | 0 |
| d5-n8-m3-q6 | 30.69 | mul | Min | 9 | 0 | 0 | 10 | 5 | 5 | 0 |
| d5-n8-m4-q4 | 29.42 | mul | Min | 9 | 0 | 0 | 9 | 5 | 4 | 0 |
| d5-n8-m4-q6 | 31.77 | mul | Min | 9 | 0 | 0 | 11 | 6 | 5 | 0 |
| d5-n9-m1-q6 | 81.56 | mul | Min | 10 | 0 | 0 | 8 | 3 | 5 | 0 |
| d5-n9-m2-q6 | 81.82 | mul | Min | 10 | 0 | 0 | 9 | 4 | 5 | 0 |
| d6-n5-m3-q4 | 4.43 | mul | Min | 6 | 0 | 0 | 8 | 4 | 4 | 0 |
| d6-n5-m3-q6 | 4.74 | mul | Min | 6 | 0 | 0 | 10 | 4 | 6 | 0 |
| d6-n6-m3-q4 | 14.18 | mul | Min | 7 | 0 | 0 | 8 | 4 | 4 | 0 |
| d6-n6-m3-q6 | 15.54 | mul | Min | 7 | 0 | 0 | 10 | 4 | 6 | 0 |
| d6-n7-m1-q6 | 57.31 | mul | Min | 8 | 0 | 0 | 8 | 2 | 6 | 0 |
| d6-n7-m2-q6 | 56.83 | mul | Min | 8 | 0 | 0 | 9 | 3 | 6 | 0 |
| d7-n6-m1-q6 | 84.51 | mul | Min | 7 | 0 | 0 | 8 | 2 | 6 | 0 |
| d7-n6-m2-q6 | 83.7 | mul | Min | 7 | 0 | 0 | 9 | 3 | 6 | 0 |