ns2122698

decomposition aggregations set_partitioning set_packing cardinality mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Timo Berthold	155103	139280	1.96397e-05	open	neos-pseudoapplication-93	68749.99988531263*	ns2122698.mps.gz

Instance coming from the NEOS Server with unknown application. Solved by SCIP-CPLEX in 9500 seconds. 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	155103	63126
Constraints	139280	49235
Binaries	16447	14007
Integers	0	1768
Continuous	138656	47351
Implicit Integers	0	1768
Fixed Variables	0	0
Nonzero Density	1.96397e-05	6.52073e-05
Nonzeroes	424272	202665

Constraint Classification Properties
	Original	Presolved
Total	139280	49235
Empty	36	0
Free	0	0
Singleton	40363	0
Aggregations	25048	21616
Precedence	0	0
Variable Bound	428	0
Set Partitioning	2	2
Set Packing	420	420
Set Covering	0	0
Cardinality	62	62
Invariant Knapsack	76	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	72845	22975
General Linear	0	4160
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	1.491362
Constraint %		1.27552	3.30057	2.42307	8.49802
Variable %		1.27998	3.33333	2.30016	8.82679
Score	0.942376

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	Cons. Viol	Submitter	Date	Description
4	68750	68750	1e-07	Edward Rothberg	2020-07-17	Obtained with the Gurobi 9.0 solution improvement heuristic
3	68760		1e-06	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	68980		0e+00	Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	69250	69250	0e+00	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ns2122698 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
ns2124243	open	156083	16447	139636	139280	429032	Timo Berthold	neos-pseudoapplication-93	77460*	decomposition aggregations variable_bound set_partitioning cardinality mixed_binary general_linear
uccase10	open	110818	16800	94018	196498	787045	Daniel Espinoza	uccase	39134.295915*	aggregations precedence variable_bound mixed_binary
neos-3660371-kurow	easy	4722	144	4578	4758	12912	Jeff Linderoth	neos-pseudoapplication-9	2270.85	benchmark_suitable aggregations precedence variable_bound set_partitioning invariant_knapsack mixed_binary general_linear
neos-4321076-ruwer	hard	361730	122	361608	509809	1265750	Jeff Linderoth	neos-pseudoapplication-98	2135.200000000028	aggregations variable_bound cardinality mixed_binary
uccase7	hard	33020	7224	25796	47132	335644	Daniel Espinoza	uccase	26834.28427331005	aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary

Reference

No bibliographic information available