CMS750_4

benchmark benchmark_suitable precedence invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
MIPLIB submission pool	11697	16381	2.34348e-04	easy	–	252	CMS750_4.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	11697	11696
Constraints	16381	16380
Binaries	7196	7196
Integers	0	0
Continuous	4501	4500
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000234348	0.000234377
Nonzeroes	44903	44902

Constraint Classification Properties
	Original	Presolved
Total	16381	16380
Empty	0	0
Free	0	0
Singleton	1	0
Aggregations	0	0
Precedence	7496	7496
Variable Bound	0	0
Set Partitioning	0	0
Set Packing	0	0
Set Covering	2438	0
Cardinality	0	0
Invariant Knapsack	0	2438
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	6446	6446
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	1.477121
Constraint %		0.006110	2.09128	0.0549451	22.8816
Variable %		0.042746	3.44798	0.2564760	43.3017
Score	0.470096

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	252	252	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to CMS750_4 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
railway_8_1_0	easy	1796	1177	619	2527	7098	MIPLIB submission pool	–	400	benchmark_suitable precedence invariant_knapsack mixed_binary
berlin_5_8_0	easy	1083	794	289	1532	4507	G. Klau	–	62	precedence invariant_knapsack mixed_binary
usAbbrv-8-25_70	hard	2312	1681	631	3291	9628	publicly available	–	120	precedence invariant_knapsack knapsack mixed_binary
pigeon-20	easy	1580	1400	180	3661	33100	Sam Allen	pigeon	-19000	benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary
pigeon-16	easy	1072	928	144	2353	21104	Sam Allen	pigeon	-15000	benchmark_suitable set_partitioning cardinality invariant_knapsack mixed_binary

Reference

No bibliographic information available