mult3

Description

Multilinear programs. There are in total 120 instances listed here.

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	CON	NLCONS
m_10_3_0_100_1	1.31	mul	Min	11	1	1
m_10_3_0_100_2	1.32	mul	Min	11	1	1
m_10_3_0_100_3	1.44	mul	Min	11	1	1
m_10_3_0_100_4	1.38	mul	Min	11	1	1
m_10_3_0_100_5	1.46	mul	Min	11	1	1
m_10_3_10_100_1	5.16	mul	Min	11	11	11
m_10_3_10_100_2	5.21	mul	Min	11	11	11
m_10_3_10_100_3	5.24	mul	Min	11	11	11
m_10_3_10_100_4	5.31	mul	Min	11	11	11
m_10_3_10_100_5	5.22	mul	Min	11	11	11
m_10_3_2_100_1	2.15	mul	Min	11	3	3
m_10_3_2_100_2	2.26	mul	Min	11	3	3
m_10_3_2_100_3	2.13	mul	Min	11	3	3
m_10_3_2_100_4	2.18	mul	Min	11	3	3
m_10_3_2_100_5	2.21	mul	Min	11	3	3
m_10_3_5_100_1	3.39	mul	Min	11	6	6
m_10_3_5_100_2	3.3	mul	Min	11	6	6
m_10_3_5_100_3	3.42	mul	Min	11	6	6
m_10_3_5_100_4	3.32	mul	Min	11	6	6
m_10_3_5_100_5	3.32	mul	Min	11	6	6
m_15_3_0_50_1	2.0	mul	Min	16	1	1
m_15_3_0_50_2	2.05	mul	Min	16	1	1
m_15_3_0_50_3	2.06	mul	Min	16	1	1
m_15_3_0_50_4	2.0	mul	Min	16	1	1
m_15_3_0_50_5	2.08	mul	Min	16	1	1
m_15_3_15_50_1	19.12	mul	Min	16	16	16
m_15_3_15_50_2	18.53	mul	Min	16	16	16
m_15_3_15_50_3	19.28	mul	Min	16	16	16
m_15_3_15_50_4	18.76	mul	Min	16	16	16
m_15_3_15_50_5	19.04	mul	Min	16	16	16
m_15_3_3_50_1	5.27	mul	Min	16	4	4
m_15_3_3_50_2	5.13	mul	Min	16	4	4
m_15_3_3_50_3	5.26	mul	Min	16	4	4
m_15_3_3_50_4	5.17	mul	Min	16	4	4
m_15_3_3_50_5	5.18	mul	Min	16	4	4
m_15_3_7_50_1	9.53	mul	Min	16	8	8
m_15_3_7_50_2	9.36	mul	Min	16	8	8
m_15_3_7_50_3	9.41	mul	Min	16	8	8
m_15_3_7_50_4	9.36	mul	Min	16	8	8
m_15_3_7_50_5	9.43	mul	Min	16	8	8
m_20_3_0_15_1	1.58	mul	Min	21	1	1
m_20_3_0_15_2	1.55	mul	Min	21	1	1
m_20_3_0_15_3	1.6	mul	Min	21	1	1
m_20_3_0_15_4	1.58	mul	Min	21	1	1
m_20_3_0_15_5	1.63	mul	Min	21	1	1
m_20_3_10_15_1	7.62	mul	Min	21	11	11
m_20_3_10_15_2	7.76	mul	Min	21	11	11
m_20_3_10_15_3	7.58	mul	Min	21	11	11
m_20_3_10_15_4	7.7	mul	Min	21	11	11
m_20_3_10_15_5	7.84	mul	Min	21	11	11
m_20_3_20_15_1	14.29	mul	Min	21	21	21
m_20_3_20_15_2	14.36	mul	Min	21	21	21
m_20_3_20_15_3	13.97	mul	Min	21	21	21
m_20_3_20_15_4	14.15	mul	Min	21	21	21
m_20_3_20_15_5	14.25	mul	Min	21	21	21
m_20_3_4_15_1	4.05	mul	Min	21	5	5
m_20_3_4_15_2	4.05	mul	Min	21	5	5
m_20_3_4_15_3	4.13	mul	Min	21	5	5
m_20_3_4_15_4	4.15	mul	Min	21	5	5
m_20_3_4_15_5	3.92	mul	Min	21	5	5
p_10_3_0_75_1	1.6	mul	Min	11	1	1
p_10_3_0_75_2	1.75	mul	Min	11	1	1
p_10_3_0_75_3	1.6	mul	Min	11	1	1
p_10_3_0_75_4	1.76	mul	Min	11	1	1
p_10_3_0_75_5	1.59	mul	Min	11	1	1
p_10_3_10_75_1	8.51	mul	Min	11	11	11
p_10_3_10_75_2	8.38	mul	Min	11	11	11
p_10_3_10_75_3	8.13	mul	Min	11	11	11
p_10_3_10_75_4	8.49	mul	Min	11	11	11
p_10_3_10_75_5	8.27	mul	Min	11	11	11
p_10_3_2_75_1	2.94	mul	Min	11	3	3
p_10_3_2_75_2	2.88	mul	Min	11	3	3
p_10_3_2_75_3	3.11	mul	Min	11	3	3
p_10_3_2_75_4	3.03	mul	Min	11	3	3
p_10_3_2_75_5	3.12	mul	Min	11	3	3
p_10_3_5_75_1	4.7	mul	Min	11	6	6
p_10_3_5_75_2	4.93	mul	Min	11	6	6
p_10_3_5_75_3	4.64	mul	Min	11	6	6
p_10_3_5_75_4	4.82	mul	Min	11	6	6
p_10_3_5_75_5	4.79	mul	Min	11	6	6
p_15_3_0_25_1	1.58	mul	Min	16	1	1
p_15_3_0_25_2	1.58	mul	Min	16	1	1
p_15_3_0_25_3	1.63	mul	Min	16	1	1
p_15_3_0_25_4	1.54	mul	Min	16	1	1
p_15_3_0_25_5	1.6	mul	Min	16	1	1
p_15_3_15_25_1	11.29	mul	Min	16	16	16
p_15_3_15_25_2	11.27	mul	Min	16	16	16
p_15_3_15_25_3	11.48	mul	Min	16	16	16
p_15_3_15_25_4	11.73	mul	Min	16	16	16
p_15_3_15_25_5	11.25	mul	Min	16	16	16
p_15_3_3_25_1	3.4	mul	Min	16	4	4
p_15_3_3_25_2	3.62	mul	Min	16	4	4
p_15_3_3_25_3	3.51	mul	Min	16	4	4
p_15_3_3_25_4	3.5	mul	Min	16	4	4
p_15_3_3_25_5	3.6	mul	Min	16	4	4
p_15_3_7_25_1	5.92	mul	Min	16	8	8
p_15_3_7_25_2	6.13	mul	Min	16	8	8
p_15_3_7_25_3	6.02	mul	Min	16	8	8
p_15_3_7_25_4	5.98	mul	Min	16	8	8
p_15_3_7_25_5	6.18	mul	Min	16	8	8
p_20_3_0_10_1	1.46	mul	Min	21	1	1
p_20_3_0_10_2	1.54	mul	Min	21	1	1
p_20_3_0_10_3	1.55	mul	Min	21	1	1
p_20_3_0_10_4	1.46	mul	Min	21	1	1
p_20_3_0_10_5	1.54	mul	Min	21	1	1
p_20_3_10_10_1	6.77	mul	Min	21	11	11
p_20_3_10_10_2	6.73	mul	Min	21	11	11
p_20_3_10_10_3	6.63	mul	Min	21	11	11
p_20_3_10_10_4	6.74	mul	Min	21	11	11
p_20_3_10_10_5	6.76	mul	Min	21	11	11
p_20_3_20_10_1	12.26	mul	Min	21	21	21
p_20_3_20_10_2	12.28	mul	Min	21	21	21
p_20_3_20_10_3	12.32	mul	Min	21	21	21
p_20_3_20_10_4	12.37	mul	Min	21	21	21
p_20_3_20_10_5	12.33	mul	Min	21	21	21
p_20_3_4_10_1	3.51	mul	Min	21	5	5
p_20_3_4_10_2	3.65	mul	Min	21	5	5
p_20_3_4_10_3	3.57	mul	Min	21	5	5
p_20_3_4_10_4	3.55	mul	Min	21	5	5
p_20_3_4_10_5	3.74	mul	Min	21	5	5

mult3

Description

Source

Instance Stats