supportcase41

precedence variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Domenico Salvagnin	4725	28923	1.61949e-03	open	–	32.00076832127569*	supportcase41.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	4725	4028
Constraints	28923	26387
Binaries	2000	1386
Integers	0	0
Continuous	2725	2642
Implicit Integers	0	0
Fixed Variables	1	0
Nonzero Density	0.00161949	0.00201798
Nonzeroes	221321	214485

Constraint Classification Properties
	Original	Presolved
Total	28923	26387
Empty	0	0
Free	0	0
Singleton	204	0
Aggregations	0	0
Precedence	2122	2042
Variable Bound	2880	2596
Set Partitioning	0	0
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	23717	21749
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	0.301030
Constraint %		100.0000	100.0000	100.0000	100.0000
Variable %		88.1593	88.1593	88.1593	88.1593
Score	0.118407

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
2	32.00077	32.00077	0	0	0	Dongdong Wan	2024-07-01	Taylor Solver - Taylor Lab of Huawei Solver
1	32.03377		0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to supportcase41 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
dws008-03	hard	32280	18928	13352	16344	165168	Philipp Leise	dws	62831.7633546923	decomposition precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
istanbul-no-cutoff	easy	5282	30	5252	20346	71477	Utz-Uwe Haus	–	204.08170701	benchmark benchmark_suitable aggregations variable_bound knapsack mixed_binary
dws008-01	easy	11096	6608	4488	6064	56400	Philipp Leise	dws	37412.60458794508	benchmark decomposition benchmark_suitable precedence variable_bound set_partitioning set_packing mixed_binary
dws012-03	open	76068	44616	31452	38484	389304	Philipp Leise	dws	140473.60932083728*	precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
dws012-01	open	26148	15576	10572	14280	132936	Philipp Leise	dws	82030.53014261134*	decomposition precedence variable_bound set_partitioning set_packing mixed_binary

Reference

No bibliographic information available