app1-1

benchmark benchmark_suitable precedence variable_bound set_covering mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Emilie Danna	2480	4926	1.49593e-03	easy	app	-3	app1-1.mps.gz

The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don’t solve fast enough for the time limit I have in mind so I’d like to propose them for inclusion in MIPLIB. 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	2480	2477
Constraints	4926	4873
Binaries	1225	1224
Integers	0	0
Continuous	1255	1253
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00149593	0.00149332
Nonzeroes	18275	18025

Constraint Classification Properties
	Original	Presolved
Total	4926	4873
Empty	0	0
Free	0	0
Singleton	1	0
Aggregations	0	0
Precedence	1225	1176
Variable Bound	0	96
Set Partitioning	0	0
Set Packing	0	0
Set Covering	25	24
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	3675	3577
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	1.869232
Constraint %		0.0205212	1.02578	0.0410425	3.03714
Variable %		0.0807103	1.36931	0.0807103	3.99516
Score	0.719682

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	-3	-3	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to app1-1 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
app1-2	easy	26871	13300	13571	53467	199175	Emilie Danna	app	-41	benchmark decomposition benchmark_suitable precedence variable_bound set_covering mixed_binary
loopha13	easy	19356	18150	1206	23758	41809	Hamideh	–	6.40233	benchmark_suitable aggregations precedence variable_bound invariant_knapsack mixed_binary
rocII-5-11	easy	11523	11341	182	26897	303291	Joerg Rambau	rocI	-6.675504731538	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing mixed_binary
fhnw-schedule-pairb200	open	40200	40000	200	99554	298554	Simon Felix	schedule	-19.24094384259708*	precedence variable_bound invariant_knapsack mixed_binary
neos-1445532	easy	14406	1999	12407	1924	27736	NEOS Server Submission	neos-pseudoapplication-88	-17041	aggregations invariant_knapsack mixed_binary

Reference

No bibliographic information available