csched007

benchmark benchmark_suitable aggregations variable_bound set_partitioning mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Tallys Yunes	1758	351	1.03378e-02	easy	csched	350.9999999999955	csched007.mps.gz

Cumulative scheduling problem instance Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	1758	1755
Constraints	351	348
Binaries	1457	1457
Integers	0	50
Continuous	301	248
Implicit Integers	0	50
Fixed Variables	0	0
Nonzero Density	0.0103378	0.0104349
Nonzeroes	6379	6373

Constraint Classification Properties
	Original	Presolved
Total	351	348
Empty	0	0
Free	0	0
Singleton	1	0
Aggregations	2	1
Precedence	50	0
Variable Bound	0	50
Set Partitioning	50	50
Set Packing	0	0
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	248	197
General Linear	0	50
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	1.707570
Constraint %		0.862069	0.867816	0.862069	1.14943
Variable %		0.512821	1.775500	1.566950	3.76068
Score	0.426175

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
2	351	351	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.
1	351	351	0	0	0	-	2018-10-13	Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to csched007 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
csched008	easy	1536	1284	0	252	351	5687	Tallys Yunes	csched	173	benchmark benchmark_suitable aggregations variable_bound set_partitioning mixed_binary general_linear
csched010	easy	1758	1457	0	301	351	6376	Tallys Yunes	csched	407.999999999994	benchmark_suitable aggregations variable_bound set_partitioning general_linear
neos-5182409-nasivi	easy	2005	1600	0	405	580	14884	Jeff Linderoth	neos-pseudoapplication-32	301.99999992	benchmark_suitable aggregations set_partitioning set_packing invariant_knapsack mixed_binary general_linear
ic97_tension	easy	703	176	4	523	319	2070	MIPLIB submission pool	–	3942	benchmark_suitable aggregations mixed_binary general_linear
neos-691058	easy	3006	1755	0	1251	2667	30837	NEOS Server Submission	neos-pseudoapplication-110	296.999999999986	benchmark_suitable set_partitioning cardinality mixed_binary

Reference

@misc{Yunes2009,
 author = {T. Yunes},
 note = {http://moya.bus.miami.edu/~tallys/cusplib/},
 title = {{CuSPLIB} 1.0: A Library of Single-Machine Cumulative Scheduling
Problems},
 year = {2009}
}