csched010

benchmark_suitable aggregations variable_bound set_partitioning general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Tallys Yunes	1758	351	1.03329e-02	easy	csched	407.999999999994	csched010.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	1758
Constraints	351	351
Binaries	1457	1457
Integers	0	249
Continuous	301	52
Implicit Integers	0	249
Fixed Variables	0	0
Nonzero Density	0.0103329	0.0103329
Nonzeroes	6376	6376

Constraint Classification Properties
	Original	Presolved
Total	351	351
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	2	2
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	249	0
General Linear	0	249
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	2.008600
Constraint %		0.284900	0.287721	0.284900	0.569801
Variable %		0.113766	0.878586	0.170648	3.242320
Score	0.288065

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	408	408	0	0	0	-	2018-10-12	Solution imported from MIPLIB2010.
1	408	408	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to csched010 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
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
csched008	easy	1536	1284	0	252	351	5687	Tallys Yunes	csched	173	benchmark benchmark_suitable aggregations variable_bound set_partitioning mixed_binary general_linear
30n20b8	easy	18380	18318	62	0	576	109706	E. Coughlan, M. Lübbecke, J. Schulz	–	302	benchmark benchmark_suitable precedence 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
neos-3009394-lami	open	2757	2704	52	1	2028	6760	Jeff Linderoth	neos-pseudoapplication-90	5.5*	set_partitioning general_linear

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}
}