qiu

benchmark_suitable precedence variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Y. Chiu, J. Eckstein	840	1192	3.42761e-03	easy	–	-132.87313695	qiu.mps.gz

Fiber-optic network design, logical SONET ring level Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	840	840
Constraints	1192	1192
Binaries	48	48
Integers	0	0
Continuous	792	792
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00342761	0.00342761
Nonzeroes	3432	3432

Constraint Classification Properties
	Original	Presolved
Total	1192	1192
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	528	528
Variable Bound	528	528
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	136	136
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	0.698970
Constraint %		22.2315	22.2315	22.2315	22.2315
Variable %		25.0000	25.0000	25.0000	25.0000
Score	0.666946

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
2	-132.8731	-132.8731	0	0	0	-	2018-10-12	Solution imported from MIPLIB2010.
1	-132.8731	-132.8731	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to qiu 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	Integers	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
supportcase37	easy	20047	1484	0	18563	59023	135627	Domenico Salvagnin	–	-1048.96	benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack mixed_binary
supportcase40	easy	16440	2000	0	14440	38192	104420	Domenico Salvagnin	–	24256.3122898	benchmark decomposition benchmark_suitable precedence variable_bound set_packing mixed_binary
neos-1396125	easy	1161	129	0	1032	1494	5511	NEOS Server Submission	neos-pseudoapplication-96	3000.0453373	benchmark_suitable precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary
gus-sch	easy	5475	2736	2736	3	5984	33135	Alexandra M. Newman	–	-1167	decomposition aggregations precedence variable_bound set_packing set_covering cardinality invariant_knapsack integer_knapsack mixed_binary general_linear
neos-3759587-noosa	easy	27029	4289	0	22740	72104	318169	Jeff Linderoth	neos-pseudoapplication-61	48.334467769	benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary

Reference

@inproceedings{Eckstein1994a,
 author = {J. Eckstein},
 booktitle = {Proceedings of Supercomputing 1994},
 instance = {qiu},
 language = {English},
 pages = {41--48},
 publisher = {IEEE Computer Society Press},
 title = {Control Strategies for Parallel Mixed Integer Branch and Bound},
 year = {1994}
}

@article{Eckstein1994b,
 author = {J. Eckstein},
 instance = {qiu},
 journal = {SIAM Journal on Optimization},
 language = {English},
 number = {4},
 pages = {794--814},
 title = {Parallel Branch-and-Bound Methods for Mixed Integer
Programming on the {CM}-5},
 volume = {4},
 year = {1994}
}

@article{Eckstein1994c,
 author = {J. Eckstein},
 instance = {qiu},
 journal = {SIAM News},
 language = {English},
 number = {1},
 pages = {12--15},
 title = {Parallel Branch-and-Bound Methods for Mixed Integer Programming},
 volume = {27},
 year = {1994}
}