ns1690781

variable_bound set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
NEOS Server Submission	5736	11181	4.0908e-03	open	neos-pseudoapplication-8	-928.078*	ns1690781.mps.gz

Instance coming from the NEOS Server with unknown application. Imported from the MIPLIB2010 submissions.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	5736	5102
Constraints	11181	10125
Binaries	2880	2794
Integers	0	0
Continuous	2856	2308
Implicit Integers	0	0
Fixed Variables	86	0
Nonzero Density	0.00409080	0.00381534
Nonzeroes	262360	197092

Constraint Classification Properties
	Original	Presolved
Total	11181	10125
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	2376	2272
Set Partitioning	0	0
Set Packing	540	540
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	8265	7313
General Linear	0	0
Indicator	0	0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	value	min	median	mean	max
Components	1.724276
Constraint %		0.167901	0.534093	0.395062	3.32840
Variable %		0.490004	1.078760	0.784006	7.21286
Score	0.272288

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Cons. Viol	Obj. Viol	Submitter	Date	Description
4	-928.0780	-928.0779	2e-07	0.0001327	Mou Sun, Tao Li, Wotao Yin	2023-12-22	Results computed using an adapted CPLEX with a 2-hour limit; details in the report “MindOpt Adapter for CPLEX Benchmarking Performance Analysis” (arXiv preprint: 2312.13527, 2023).
3	-927.0259		1e-06	0.0000000	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	-926.9434		0e+00	0.0000000	Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	-915.6663	-915.6663	0e+00	0.0000000	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ns1690781 in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance	Status	Variables	Binaries	Integers	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-885086	easy	4860	2430	0	2430	11574	248310	NEOS Server Submission	neos-pseudoapplication-8	-243	benchmark_suitable variable_bound set_packing mixed_binary
neos-1171448	easy	4914	2457	0	2457	13206	131859	NEOS Server Submission	neos-pseudoapplication-8	-309	benchmark benchmark_suitable variable_bound invariant_knapsack mixed_binary
neos-1171737	easy	2340	1170	0	1170	4179	58620	NEOS Server Submission	neos-pseudoapplication-80	-195	benchmark benchmark_suitable variable_bound set_packing mixed_binary
supportcase7	easy	138844	451	14	138379	6532	2845545	Michael Winkler	–	-1132.223177	benchmark benchmark_suitable precedence variable_bound invariant_knapsack mixed_binary
neos-1442119	easy	728	364	0	364	1524	6692	NEOS Server Submission	neos-pseudoapplication-8	-181.000000000003	decomposition benchmark_suitable variable_bound mixed_binary

Reference

No bibliographic information available