loopha13

benchmark_suitable aggregations precedence variable_bound invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Hamideh	19356	23758	9.09168e-05	easy	–	6.40233	loopha13.mps.gz

This is a Gams model which uses CPLEX as a solver. 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	19356	5245
Constraints	23758	9643
Binaries	18150	4045
Integers	0	0
Continuous	1206	1200
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	9.09168e-05	5.43581e-04
Nonzeroes	41809	27493

Constraint Classification Properties
	Original	Presolved
Total	23758	9643
Empty	0	0
Free	0	0
Singleton	14060	0
Aggregations	771	772
Precedence	991	989
Variable Bound	99	98
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	1190	1142
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	6647	6642
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	2.654177
Constraint %		0.0109075	0.0612275	0.0218150	2.00698
Variable %		0.0381316	0.1796840	0.0571973	3.52717
Score	0.272272

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	6.40233	6.40233	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to loopha13 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
istanbul-no-cutoff	easy	5282	30	0	5252	20346	71477	Utz-Uwe Haus	–	204.08170701	benchmark benchmark_suitable aggregations variable_bound knapsack mixed_binary
net12	easy	14115	1603	0	12512	14021	80384	P. Belotti	–	214	benchmark decomposition benchmark_suitable precedence set_packing cardinality invariant_knapsack mixed_binary
csched007	easy	1758	1457	0	301	351	6379	Tallys Yunes	csched	350.9999999999955	benchmark benchmark_suitable aggregations variable_bound set_partitioning mixed_binary general_linear
ic97_tension	easy	703	176	4	523	319	2070	MIPLIB submission pool	–	3942	benchmark_suitable aggregations mixed_binary general_linear
app1-1	easy	2480	1225	0	1255	4926	18275	Emilie Danna	app	-3	benchmark benchmark_suitable precedence variable_bound set_covering mixed_binary

Reference

No bibliographic information available