uccase7

aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Daniel Espinoza	33020	47132	2.15668e-04	hard	uccase	26834.28427331005	uccase7.mps.gz

Imported from the MIPLIB2010 submissions.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	33020	33006
Constraints	47132	43990
Binaries	7224	7224
Integers	0	1680
Continuous	25796	24102
Implicit Integers	0	1680
Fixed Variables	0	0
Nonzero Density	0.000215668	0.000222735
Nonzeroes	335644	323397

Constraint Classification Properties
	Original	Presolved
Total	47132	43990
Empty	16	0
Free	0	0
Singleton	2698	0
Aggregations	9836	9836
Precedence	1683	339
Variable Bound	16172	17481
Set Partitioning	0	1680
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	184
Equation Knapsack	0	0
Bin Packing	0	9
Knapsack	0	2970
Integer Knapsack	0	0
Mixed Binary	16727	11491
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	3.268812
Constraint %		0.00682	0.0398050	0.00682	7.95635
Variable %		0.00909	0.0478802	0.00909	9.59523
Score	0.697700

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	Submitter	Date	Description
3	26834.28		Robert Bixby	2020-02-21	Solved with Gurobi 9.0 within 3 hours
2	26834.28		Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	26834.36	26834.36	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to uccase7 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
uccase9	easy	33242	8064	25178	49565	332316	Daniel Espinoza	uccase	10993.131409	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary
uccase8	easy	37413	9576	27837	53709	214625	Daniel Espinoza	uccase	11167.74532	benchmark_suitable aggregations variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary
uccase10	open	110818	16800	94018	196498	787045	Daniel Espinoza	uccase	39134.295915*	aggregations precedence variable_bound mixed_binary
irish-electricity	easy	61728	9888	51840	104259	523257	Paula Carroll	–	3723497.591396	benchmark benchmark_suitable precedence variable_bound invariant_knapsack binpacking knapsack mixed_binary
sing326	easy	55156	40010	15146	50781	268173	Daniel Espinoza	sing	7753674.85376	benchmark decomposition benchmark_suitable aggregations variable_bound set_partitioning cardinality mixed_binary

Reference

No bibliographic information available