supportcase25

decomposition numerics aggregations variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Michael Winkler	6769	6673	5.05318e-04	easy	–	0.04829280869043	supportcase25.mps.gz

MIP instances collected from Gurobi forum with unknown application

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	6769	5824
Constraints	6673	5792
Binaries	576	576
Integers	0	0
Continuous	6193	5248
Implicit Integers	0	0
Fixed Variables	936	0
Nonzero Density	0.000505318	0.000585783
Nonzeroes	22825	19760

Constraint Classification Properties
	Original	Presolved
Total	6673	5792
Empty	0	0
Free	0	0
Singleton	865	0
Aggregations	504	720
Precedence	0	0
Variable Bound	1728	1720
Set Partitioning	0	0
Set Packing	0	0
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	3576	3352
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	1.908485
Constraint %		0.517956	1.20338	0.517956	7.37224
Variable %		0.806867	1.21888	0.806867	4.92704
Score	0.930640

Best Known Solution(s)

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

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
1	0.0482928	0.0636076	0	5e-07	0	-	2018-10-15	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase25 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-1396125	easy	1161	129	1032	1494	5511	NEOS Server Submission	neos-pseudoapplication-96	3000.0453373	benchmark_suitable precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary
binkar10_1	easy	2298	170	2128	1026	4496	H. Mittelmann	–	6742.1998835	benchmark benchmark_suitable aggregations mixed_binary
uccase8	easy	37413	9576	27837	53709	214625	Daniel Espinoza	uccase	11167.74532	benchmark_suitable aggregations variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary
uccase7	hard	33020	7224	25796	47132	335644	Daniel Espinoza	uccase	26834.28427331005	aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary
uccase9	easy	33242	8064	25178	49565	332316	Daniel Espinoza	uccase	10993.131409	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary

Reference

No bibliographic information available