mult4
Description
Multilinear programs. There are in total 100
instances listed here.
Source
These instances are recorded in a paper: Bao, X., A. Khajavirad, N. V. Sahinidis, and M. Tawarmalani, Global optimization of nonconvex problems with multilinear intermediates, Mathematical Programming Computation, 7, 1-37, 2015. 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 |
---|---|---|---|---|---|---|---|---|---|---|
m_10_4_0_100_1 | 2.69 | mul | Min | 11 | 0 | 0 | 1 | 0 | 1 | 0 |
m_10_4_0_100_2 | 2.76 | mul | Min | 11 | 0 | 0 | 1 | 0 | 1 | 0 |
m_10_4_0_100_3 | 2.83 | mul | Min | 11 | 0 | 0 | 1 | 0 | 1 | 0 |
m_10_4_0_100_4 | 2.75 | mul | Min | 11 | 0 | 0 | 1 | 0 | 1 | 0 |
m_10_4_0_100_5 | 3.01 | mul | Min | 11 | 0 | 0 | 1 | 0 | 1 | 0 |
m_10_4_10_100_1 | 22.59 | mul | Min | 11 | 0 | 0 | 11 | 0 | 11 | 0 |
m_10_4_10_100_2 | 22.97 | mul | Min | 11 | 0 | 0 | 11 | 0 | 11 | 0 |
m_10_4_10_100_3 | 23.39 | mul | Min | 11 | 0 | 0 | 11 | 0 | 11 | 0 |
m_10_4_10_100_4 | 22.89 | mul | Min | 11 | 0 | 0 | 11 | 0 | 11 | 0 |
m_10_4_10_100_5 | 23.84 | mul | Min | 11 | 0 | 0 | 11 | 0 | 11 | 0 |
m_10_4_2_100_1 | 6.25 | mul | Min | 11 | 0 | 0 | 3 | 0 | 3 | 0 |
m_10_4_2_100_2 | 6.48 | mul | Min | 11 | 0 | 0 | 3 | 0 | 3 | 0 |
m_10_4_2_100_3 | 6.53 | mul | Min | 11 | 0 | 0 | 3 | 0 | 3 | 0 |
m_10_4_2_100_4 | 6.38 | mul | Min | 11 | 0 | 0 | 3 | 0 | 3 | 0 |
m_10_4_2_100_5 | 6.55 | mul | Min | 11 | 0 | 0 | 3 | 0 | 3 | 0 |
m_10_4_5_100_1 | 12.08 | mul | Min | 11 | 0 | 0 | 6 | 0 | 6 | 0 |
m_10_4_5_100_2 | 12.16 | mul | Min | 11 | 0 | 0 | 6 | 0 | 6 | 0 |
m_10_4_5_100_3 | 12.47 | mul | Min | 11 | 0 | 0 | 6 | 0 | 6 | 0 |
m_10_4_5_100_4 | 11.97 | mul | Min | 11 | 0 | 0 | 6 | 0 | 6 | 0 |
m_10_4_5_100_5 | 12.53 | mul | Min | 11 | 0 | 0 | 6 | 0 | 6 | 0 |
m_15_4_0_15_1 | 2.22 | mul | Min | 16 | 0 | 0 | 1 | 0 | 1 | 0 |
m_15_4_0_15_2 | 2.17 | mul | Min | 16 | 0 | 0 | 1 | 0 | 1 | 0 |
m_15_4_0_15_3 | 2.14 | mul | Min | 16 | 0 | 0 | 1 | 0 | 1 | 0 |
m_15_4_0_15_4 | 2.24 | mul | Min | 16 | 0 | 0 | 1 | 0 | 1 | 0 |
m_15_4_0_15_5 | 2.13 | mul | Min | 16 | 0 | 0 | 1 | 0 | 1 | 0 |
m_15_4_15_15_1 | 22.07 | mul | Min | 16 | 0 | 0 | 16 | 0 | 16 | 0 |
m_15_4_15_15_2 | 21.88 | mul | Min | 16 | 0 | 0 | 16 | 0 | 16 | 0 |
m_15_4_15_15_3 | 21.46 | mul | Min | 16 | 0 | 0 | 16 | 0 | 16 | 0 |
m_15_4_15_15_4 | 21.51 | mul | Min | 16 | 0 | 0 | 16 | 0 | 16 | 0 |
m_15_4_15_15_5 | 21.78 | mul | Min | 16 | 0 | 0 | 16 | 0 | 16 | 0 |
m_15_4_3_15_1 | 5.85 | mul | Min | 16 | 0 | 0 | 4 | 0 | 4 | 0 |
m_15_4_3_15_2 | 5.94 | mul | Min | 16 | 0 | 0 | 4 | 0 | 4 | 0 |
m_15_4_3_15_3 | 5.64 | mul | Min | 16 | 0 | 0 | 4 | 0 | 4 | 0 |
m_15_4_3_15_4 | 5.81 | mul | Min | 16 | 0 | 0 | 4 | 0 | 4 | 0 |
m_15_4_3_15_5 | 6.0 | mul | Min | 16 | 0 | 0 | 4 | 0 | 4 | 0 |
m_15_4_7_15_1 | 10.81 | mul | Min | 16 | 0 | 0 | 8 | 0 | 8 | 0 |
m_15_4_7_15_2 | 10.68 | mul | Min | 16 | 0 | 0 | 8 | 0 | 8 | 0 |
m_15_4_7_15_3 | 10.77 | mul | Min | 16 | 0 | 0 | 8 | 0 | 8 | 0 |
m_15_4_7_15_4 | 10.62 | mul | Min | 16 | 0 | 0 | 8 | 0 | 8 | 0 |
m_15_4_7_15_5 | 10.73 | mul | Min | 16 | 0 | 0 | 8 | 0 | 8 | 0 |
m_20_4_0_2_1 | 1.3 | mul | Min | 21 | 0 | 0 | 1 | 0 | 1 | 0 |
m_20_4_0_2_2 | 1.28 | mul | Min | 21 | 0 | 0 | 1 | 0 | 1 | 0 |
m_20_4_0_2_3 | 1.36 | mul | Min | 21 | 0 | 0 | 1 | 0 | 1 | 0 |
m_20_4_0_2_4 | 1.26 | mul | Min | 21 | 0 | 0 | 1 | 0 | 1 | 0 |
m_20_4_0_2_5 | 1.25 | mul | Min | 21 | 0 | 0 | 1 | 0 | 1 | 0 |
m_20_4_10_2_1 | 4.18 | mul | Min | 21 | 0 | 0 | 11 | 0 | 11 | 0 |
m_20_4_10_2_2 | 4.2 | mul | Min | 21 | 0 | 0 | 11 | 0 | 11 | 0 |
m_20_4_10_2_3 | 4.23 | mul | Min | 21 | 0 | 0 | 11 | 0 | 11 | 0 |
m_20_4_10_2_4 | 4.34 | mul | Min | 21 | 0 | 0 | 11 | 0 | 11 | 0 |
m_20_4_10_2_5 | 4.27 | mul | Min | 21 | 0 | 0 | 11 | 0 | 11 | 0 |
m_20_4_20_2_1 | 7.14 | mul | Min | 21 | 0 | 0 | 21 | 0 | 21 | 0 |
m_20_4_20_2_2 | 7.2 | mul | Min | 21 | 0 | 0 | 21 | 0 | 21 | 0 |
m_20_4_20_2_3 | 7.28 | mul | Min | 21 | 0 | 0 | 21 | 0 | 21 | 0 |
m_20_4_20_2_4 | 7.11 | mul | Min | 21 | 0 | 0 | 21 | 0 | 21 | 0 |
m_20_4_20_2_5 | 7.23 | mul | Min | 21 | 0 | 0 | 21 | 0 | 21 | 0 |
m_20_4_4_2_1 | 2.46 | mul | Min | 21 | 0 | 0 | 5 | 0 | 5 | 0 |
m_20_4_4_2_2 | 2.43 | mul | Min | 21 | 0 | 0 | 5 | 0 | 5 | 0 |
m_20_4_4_2_3 | 2.42 | mul | Min | 21 | 0 | 0 | 5 | 0 | 5 | 0 |
m_20_4_4_2_4 | 2.46 | mul | Min | 21 | 0 | 0 | 5 | 0 | 5 | 0 |
m_20_4_4_2_5 | 2.61 | mul | Min | 21 | 0 | 0 | 5 | 0 | 5 | 0 |
p_10_4_0_25_1 | 1.7 | mul | Min | 11 | 0 | 0 | 1 | 0 | 1 | 0 |
p_10_4_0_25_2 | 1.82 | mul | Min | 11 | 0 | 0 | 1 | 0 | 1 | 0 |
p_10_4_0_25_3 | 1.72 | mul | Min | 11 | 0 | 0 | 1 | 0 | 1 | 0 |
p_10_4_0_25_4 | 1.72 | mul | Min | 11 | 0 | 0 | 1 | 0 | 1 | 0 |
p_10_4_0_25_5 | 1.76 | mul | Min | 11 | 0 | 0 | 1 | 0 | 1 | 0 |
p_10_4_10_25_1 | 9.46 | mul | Min | 11 | 0 | 0 | 11 | 0 | 11 | 0 |
p_10_4_10_25_2 | 9.68 | mul | Min | 11 | 0 | 0 | 11 | 0 | 11 | 0 |
p_10_4_10_25_3 | 9.97 | mul | Min | 11 | 0 | 0 | 11 | 0 | 11 | 0 |
p_10_4_10_25_4 | 9.5 | mul | Min | 11 | 0 | 0 | 11 | 0 | 11 | 0 |
p_10_4_10_25_5 | 9.83 | mul | Min | 11 | 0 | 0 | 11 | 0 | 11 | 0 |
p_10_4_2_25_1 | 3.17 | mul | Min | 11 | 0 | 0 | 3 | 0 | 3 | 0 |
p_10_4_2_25_2 | 3.37 | mul | Min | 11 | 0 | 0 | 3 | 0 | 3 | 0 |
p_10_4_2_25_3 | 3.31 | mul | Min | 11 | 0 | 0 | 3 | 0 | 3 | 0 |
p_10_4_2_25_4 | 3.28 | mul | Min | 11 | 0 | 0 | 3 | 0 | 3 | 0 |
p_10_4_2_25_5 | 3.46 | mul | Min | 11 | 0 | 0 | 3 | 0 | 3 | 0 |
p_10_4_5_25_1 | 5.42 | mul | Min | 11 | 0 | 0 | 6 | 0 | 6 | 0 |
p_10_4_5_25_2 | 5.62 | mul | Min | 11 | 0 | 0 | 6 | 0 | 6 | 0 |
p_10_4_5_25_3 | 5.61 | mul | Min | 11 | 0 | 0 | 6 | 0 | 6 | 0 |
p_10_4_5_25_4 | 5.61 | mul | Min | 11 | 0 | 0 | 6 | 0 | 6 | 0 |
p_10_4_5_25_5 | 5.65 | mul | Min | 11 | 0 | 0 | 6 | 0 | 6 | 0 |
p_15_4_0_5_1 | 1.48 | mul | Min | 16 | 0 | 0 | 1 | 0 | 1 | 0 |
p_15_4_0_5_2 | 1.57 | mul | Min | 16 | 0 | 0 | 1 | 0 | 1 | 0 |
p_15_4_0_5_3 | 1.52 | mul | Min | 16 | 0 | 0 | 1 | 0 | 1 | 0 |
p_15_4_0_5_4 | 1.51 | mul | Min | 16 | 0 | 0 | 1 | 0 | 1 | 0 |
p_15_4_0_5_5 | 1.55 | mul | Min | 16 | 0 | 0 | 1 | 0 | 1 | 0 |
p_15_4_15_5_1 | 9.85 | mul | Min | 16 | 0 | 0 | 16 | 0 | 16 | 0 |
p_15_4_15_5_2 | 9.66 | mul | Min | 16 | 0 | 0 | 16 | 0 | 16 | 0 |
p_15_4_15_5_3 | 10.14 | mul | Min | 16 | 0 | 0 | 16 | 0 | 16 | 0 |
p_15_4_15_5_4 | 9.91 | mul | Min | 16 | 0 | 0 | 16 | 0 | 16 | 0 |
p_15_4_15_5_5 | 9.93 | mul | Min | 16 | 0 | 0 | 16 | 0 | 16 | 0 |
p_15_4_3_5_1 | 3.21 | mul | Min | 16 | 0 | 0 | 4 | 0 | 4 | 0 |
p_15_4_3_5_2 | 3.19 | mul | Min | 16 | 0 | 0 | 4 | 0 | 4 | 0 |
p_15_4_3_5_3 | 3.16 | mul | Min | 16 | 0 | 0 | 4 | 0 | 4 | 0 |
p_15_4_3_5_4 | 3.17 | mul | Min | 16 | 0 | 0 | 4 | 0 | 4 | 0 |
p_15_4_3_5_5 | 3.2 | mul | Min | 16 | 0 | 0 | 4 | 0 | 4 | 0 |
p_15_4_7_5_1 | 5.48 | mul | Min | 16 | 0 | 0 | 8 | 0 | 8 | 0 |
p_15_4_7_5_2 | 5.39 | mul | Min | 16 | 0 | 0 | 8 | 0 | 8 | 0 |
p_15_4_7_5_3 | 5.28 | mul | Min | 16 | 0 | 0 | 8 | 0 | 8 | 0 |
p_15_4_7_5_4 | 5.2 | mul | Min | 16 | 0 | 0 | 8 | 0 | 8 | 0 |
p_15_4_7_5_5 | 5.45 | mul | Min | 16 | 0 | 0 | 8 | 0 | 8 | 0 |