nexp-50-20-4-2

decomposition set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	1225	540	4.07407e-03	easy	exp_and_fc	70.99999999999999	nexp-50-20-4-2.mps.gz

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	1225	1110
Constraints	540	493
Binaries	980	888
Integers	0	0
Continuous	245	222
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00407407	0.00446247
Nonzeroes	2695	2442

Constraint Classification Properties
	Original	Presolved
Total	540	493
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	245	222
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	295	271
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	2.220108
Constraint %		0.40568	0.559346	0.40568	5.67951
Variable %		0.45045	0.606061	0.45045	5.85586
Score	0.909279

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	71	71	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to nexp-50-20-4-2 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
nexp-150-20-8-5	easy	20115	17880	2235	4620	42465	MIPLIB submission pool	exp_and_fc	231	benchmark benchmark_suitable set_packing mixed_binary
g503inf	easy	48	24	24	41	144	MIPLIB submission pool	–	Infeasible	infeasible variable_bound binpacking knapsack mixed_binary
gr4x6	easy	48	24	24	34	96	MIPLIB submission pool	–	202.3499999999979	variable_bound mixed_binary
neos-3581454-haast	easy	8112	7512	600	17220	92976	Jeff Linderoth	neos-pseudoapplication-14	2295	decomposition benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack knapsack mixed_binary
p0201	easy	201	201	0	133	1923	MIPLIB submission pool	pfour	7614.999999999997	binary set_packing set_covering invariant_knapsack knapsack mixed_binary

Reference

No bibliographic information available