mult4

Description

Multilinear programs. There are in total 100 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
m1040100_1	2.69	mul	Min	11	1	1
m1040100_2	2.76	mul	Min	11	1	1
m1040100_3	2.83	mul	Min	11	1	1
m1040100_4	2.75	mul	Min	11	1	1
m1040100_5	3.01	mul	Min	11	1	1
m10410100_1	22.59	mul	Min	11	11	11
m10410100_2	22.97	mul	Min	11	11	11
m10410100_3	23.39	mul	Min	11	11	11
m10410100_4	22.89	mul	Min	11	11	11
m10410100_5	23.84	mul	Min	11	11	11
m1042100_1	6.25	mul	Min	11	3	3
m1042100_2	6.48	mul	Min	11	3	3
m1042100_3	6.53	mul	Min	11	3	3
m1042100_4	6.38	mul	Min	11	3	3
m1042100_5	6.55	mul	Min	11	3	3
m1045100_1	12.08	mul	Min	11	6	6
m1045100_2	12.16	mul	Min	11	6	6
m1045100_3	12.47	mul	Min	11	6	6
m1045100_4	11.97	mul	Min	11	6	6
m1045100_5	12.53	mul	Min	11	6	6
m154015_1	2.22	mul	Min	16	1	1
m154015_2	2.17	mul	Min	16	1	1
m154015_3	2.14	mul	Min	16	1	1
m154015_4	2.24	mul	Min	16	1	1
m154015_5	2.13	mul	Min	16	1	1
m1541515_1	22.07	mul	Min	16	16	16
m1541515_2	21.88	mul	Min	16	16	16
m1541515_3	21.46	mul	Min	16	16	16
m1541515_4	21.51	mul	Min	16	16	16
m1541515_5	21.78	mul	Min	16	16	16
m154315_1	5.85	mul	Min	16	4	4
m154315_2	5.94	mul	Min	16	4	4
m154315_3	5.64	mul	Min	16	4	4
m154315_4	5.81	mul	Min	16	4	4
m154315_5	6.0	mul	Min	16	4	4
m154715_1	10.81	mul	Min	16	8	8
m154715_2	10.68	mul	Min	16	8	8
m154715_3	10.77	mul	Min	16	8	8
m154715_4	10.62	mul	Min	16	8	8
m154715_5	10.73	mul	Min	16	8	8
m20402_1	1.3	mul	Min	21	1	1
m20402_2	1.28	mul	Min	21	1	1
m20402_3	1.36	mul	Min	21	1	1
m20402_4	1.26	mul	Min	21	1	1
m20402_5	1.25	mul	Min	21	1	1
m204102_1	4.18	mul	Min	21	11	11
m204102_2	4.2	mul	Min	21	11	11
m204102_3	4.23	mul	Min	21	11	11
m204102_4	4.34	mul	Min	21	11	11
m204102_5	4.27	mul	Min	21	11	11
m204202_1	7.14	mul	Min	21	21	21
m204202_2	7.2	mul	Min	21	21	21
m204202_3	7.28	mul	Min	21	21	21
m204202_4	7.11	mul	Min	21	21	21
m204202_5	7.23	mul	Min	21	21	21
m20442_1	2.46	mul	Min	21	5	5
m20442_2	2.43	mul	Min	21	5	5
m20442_3	2.42	mul	Min	21	5	5
m20442_4	2.46	mul	Min	21	5	5
m20442_5	2.61	mul	Min	21	5	5
p104025_1	1.7	mul	Min	11	1	1
p104025_2	1.82	mul	Min	11	1	1
p104025_3	1.72	mul	Min	11	1	1
p104025_4	1.72	mul	Min	11	1	1
p104025_5	1.76	mul	Min	11	1	1
p1041025_1	9.46	mul	Min	11	11	11
p1041025_2	9.68	mul	Min	11	11	11
p1041025_3	9.97	mul	Min	11	11	11
p1041025_4	9.5	mul	Min	11	11	11
p1041025_5	9.83	mul	Min	11	11	11
p104225_1	3.17	mul	Min	11	3	3
p104225_2	3.37	mul	Min	11	3	3
p104225_3	3.31	mul	Min	11	3	3
p104225_4	3.28	mul	Min	11	3	3
p104225_5	3.46	mul	Min	11	3	3
p104525_1	5.42	mul	Min	11	6	6
p104525_2	5.62	mul	Min	11	6	6
p104525_3	5.61	mul	Min	11	6	6
p104525_4	5.61	mul	Min	11	6	6
p104525_5	5.65	mul	Min	11	6	6
p15405_1	1.48	mul	Min	16	1	1
p15405_2	1.57	mul	Min	16	1	1
p15405_3	1.52	mul	Min	16	1	1
p15405_4	1.51	mul	Min	16	1	1
p15405_5	1.55	mul	Min	16	1	1
p154155_1	9.85	mul	Min	16	16	16
p154155_2	9.66	mul	Min	16	16	16
p154155_3	10.14	mul	Min	16	16	16
p154155_4	9.91	mul	Min	16	16	16
p154155_5	9.93	mul	Min	16	16	16
p15435_1	3.21	mul	Min	16	4	4
p15435_2	3.19	mul	Min	16	4	4
p15435_3	3.16	mul	Min	16	4	4
p15435_4	3.17	mul	Min	16	4	4
p15435_5	3.2	mul	Min	16	4	4
p15475_1	5.48	mul	Min	16	8	8
p15475_2	5.39	mul	Min	16	8	8
p15475_3	5.28	mul	Min	16	8	8
p15475_4	5.2	mul	Min	16	8	8
p15475_5	5.45	mul	Min	16	8	8

mult4

Description

Source

Instance Stats