ns1116954

benchmark feasibility benchmark_suitable precedence set_partitioning set_packing cardinality binpacking knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
NEOS Server Submission 12648 131991 2.45943e-04 easy neos-pseudoapplication-51 0 ns1116954.mps.gz

Instance coming from the NEOS Server with unknown application Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 12648 11928
Constraints 131991 131871
Binaries 7482 7482
Integers 0 0
Continuous 5166 4446
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000245943 0.000260568
Nonzeroes 410582 409862
Constraint Classification Properties
Original Presolved
Total 131991 131871
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 6786 6786
Variable Bound 0 0
Set Partitioning 234 234
Set Packing 1241 1241
Set Covering 0 0
Cardinality 1 1
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 222 222
Knapsack 6 6
Integer Knapsack 0 0
Mixed Binary 123501 123381
General Linear 0 0
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 2.170262
Constraint % 0.0007580 0.0414082 0.0007580 0.201712
Variable % 0.0503018 0.4267100 0.0503018 1.919850
Score 0.059850

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

Similar instances in collection

The following instances are most similar to ns1116954 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
istanbul-no-cutoff easy 5282 30 0 5252 20346 71477 Utz-Uwe Haus 204.08170701 benchmark benchmark_suitable aggregations variable_bound knapsack mixed_binary
neos-4754521-awarau easy 41680 41680 0 0 255386 1237481 Jeff Linderoth neos-pseudoapplication-51 0 binary feasibility benchmark_suitable aggregations precedence cardinality invariant_knapsack binpacking
neos-4300652-rahue hard 33003 20900 0 12103 76992 183616 Jeff Linderoth neos-pseudoapplication-13 2.1416 benchmark decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality knapsack mixed_binary
fhnw-schedule-pairb200 open 40200 40000 0 200 99554 298554 Simon Felix schedule -19.24094384259708* precedence variable_bound invariant_knapsack mixed_binary
net12 easy 14115 1603 0 12512 14021 80384 P. Belotti 214 benchmark decomposition benchmark_suitable precedence set_packing cardinality invariant_knapsack mixed_binary

Reference

@misc{neos,
 key = {zzz neos},
 note = {http://www.neos-server.org},
 title = {{NEOS} {S}erver for {O}ptimization},
 year = {2011}
}

Last Update Mar 04, 2024 by Julian Manns
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