supportcase40

benchmark decomposition benchmark_suitable precedence variable_bound set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Domenico Salvagnin	16440	38192	1.66307e-04	easy	–	24256.3122898	supportcase40.mps.gz

Instance coming from IBM developerWorks forum with unknown application.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	16440	5168
Constraints	38192	8670
Binaries	2000	300
Integers	0	0
Continuous	14440	4868
Implicit Integers	0	0
Fixed Variables	120	0
Nonzero Density	0.000166307	0.000564471
Nonzeroes	104420	25292

Constraint Classification Properties
	Original	Presolved
Total	38192	8670
Empty	0	0
Free	0	0
Singleton	20	0
Aggregations	0	0
Precedence	28100	6300
Variable Bound	6000	600
Set Partitioning	0	0
Set Packing	100	100
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	3972	1670
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	1.755875
Constraint %		1.26021	1.43774	1.36523	1.66861
Variable %		1.24856	1.40772	1.34460	1.61352
Score	0.793679

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	24256.31	24256.31	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase40 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
qiu	easy	840	48	792	1192	3432	Y. Chiu, J. Eckstein	–	-132.87313695	benchmark_suitable precedence variable_bound mixed_binary
30_70_45_05_100	easy	10772	10771	1	12050	45889	J. Walser	30_70	9	binary decomposition benchmark_suitable precedence variable_bound set_covering mixed_binary
30_70_45_095_98	easy	10990	10989	1	12471	46387	J. Walser	30_70	11.99999999999999	binary decomposition benchmark_suitable precedence variable_bound set_covering mixed_binary
30_70_45_095_100	easy	10976	10975	1	12526	46640	J. Walser	30_70	3	binary decomposition benchmark_suitable precedence variable_bound set_covering mixed_binary
supportcase37	easy	20047	1484	18563	59023	135627	Domenico Salvagnin	–	-1048.96	benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary

Reference

No bibliographic information available