neos-4409277-trave

variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Jeff Linderoth	14363	7875	1.80816e-03	hard	neos-pseudoapplication-47	3	neos-4409277-trave.mps.gz

Reported solved by ParaSCIP in 441575 seconds using 71 solvers (72 cores).

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	14363	14363
Constraints	7875	7875
Binaries	14362	14362
Integers	0	0
Continuous	1	1
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00180816	0.00180816
Nonzeroes	204518	204518

Constraint Classification Properties
	Original	Presolved
Total	7875	7875
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	12	12
Set Partitioning	1520	1520
Set Packing	4661	4661
Set Covering	114	114
Cardinality	40	40
Invariant Knapsack	1516	1516
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	12	12
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	2.004321
Constraint %		0.472240	0.580345	0.472240	5.19464
Variable %		0.348117	0.650700	0.529137	9.25990
Score	0.572584

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	3	3	0	0	0	Yuji Shinano	2018-11-05	Found with ParaSCIP using 72 cores

Similar instances in collection

The following instances are most similar to neos-4409277-trave 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
neos6	easy	8786	8340	0	446	1036	251946	NEOS Server Submission	neos-pseudoapplication-47	83	benchmark_suitable set_packing set_covering invariant_knapsack knapsack mixed_binary
savsched1	easy	328575	252731	0	75844	295989	1770507	Gerardo Gonzalez	–	3217.7	benchmark benchmark_suitable aggregations variable_bound set_packing invariant_knapsack mixed_binary
blp-ic97	easy	9845	9753	0	92	923	118149	M. Lübbecke	blp	4025.023580799999	decomposition benchmark_suitable set_packing mixed_binary general_linear
neos-850681	easy	2594	2479	16	99	2067	37113	NEOS Server Submission	neos-pseudoapplication-12	2472	benchmark_suitable aggregations variable_bound set_partitioning set_packing invariant_knapsack general_linear
blp-ir98	easy	6097	6031	0	66	486	79152	M. Lübbecke	blp	2342.315488	decomposition benchmark_suitable set_packing equation_knapsack mixed_binary general_linear

Reference

No bibliographic information available