mkc1

decomposition benchmark_suitable precedence variable_bound invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	5325	3411	9.38031e-04	easy	–	-607.20703	mkc1.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	5325	5315
Constraints	3411	3274
Binaries	3087	3077
Integers	0	0
Continuous	2238	2238
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000938031	0.000969812
Nonzeroes	17038	16876

Constraint Classification Properties
	Original	Presolved
Total	3411	3274
Empty	0	0
Free	0	0
Singleton	132	0
Aggregations	0	0
Precedence	710	705
Variable Bound	2267	2267
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	24	24
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	278	278
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	3.369216
Constraint %		0.0305437	0.0388097	0.0305437	0.366524
Variable %		0.0376294	0.0425442	0.0376294	0.188147
Score	0.907299

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	-607.207	-607.207	0	8e-07	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mkc1 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
mkc	hard	5325	5323	0	2	3411	17038	J. Kalagnanam, M. Dawande	–	-563.8460100132	decomposition precedence variable_bound set_packing invariant_knapsack binpacking mixed_binary
gus-sch	easy	5475	2736	2736	3	5984	33135	Alexandra M. Newman	–	-1167	decomposition aggregations precedence variable_bound set_packing set_covering cardinality invariant_knapsack integer_knapsack mixed_binary general_linear
qiu	easy	840	48	0	792	1192	3432	Y. Chiu, J. Eckstein	–	-132.87313695	benchmark_suitable precedence variable_bound mixed_binary
neos-1396125	easy	1161	129	0	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
comp16-3idx	hard	64193	56745	14	7434	71594	347276	Matias Sørensen	coursetimetabling	18.0	decomposition aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack mixed_binary general_linear

Reference

No bibliographic information available