nexp-50-20-4-2

decomposition set_packing mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 1225 540 4.07407e-03 easy exp_and_fc 70.99999999999999 nexp-50-20-4-2.mps.gz

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1225 1110
Constraints 540 493
Binaries 980 888
Integers 0 0
Continuous 245 222
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00407407 0.00446247
Nonzeroes 2695 2442
Constraint Classification Properties
Original Presolved
Total 540 493
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 0 0
Set Packing 245 222
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 295 271
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 2.220108
Constraint % 0.40568 0.559346 0.40568 5.67951
Variable % 0.45045 0.606061 0.45045 5.85586
Score 0.909279

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 71 71 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to nexp-50-20-4-2 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
nexp-150-20-8-5 easy 20115 17880 0 2235 4620 42465 MIPLIB submission pool exp_and_fc 231 benchmark benchmark_suitable set_packing mixed_binary
g503inf easy 48 24 0 24 41 144 MIPLIB submission pool Infeasible infeasible variable_bound binpacking knapsack mixed_binary
gr4x6 easy 48 24 0 24 34 96 MIPLIB submission pool 202.3499999999979 variable_bound mixed_binary
neos-3581454-haast easy 8112 7512 0 600 17220 92976 Jeff Linderoth neos-pseudoapplication-14 2295 decomposition benchmark_suitable precedence variable_bound set_partitioning set_packing invariant_knapsack knapsack mixed_binary
p0201 easy 201 201 0 0 133 1923 MIPLIB submission pool pfour 7614.999999999997 binary set_packing set_covering invariant_knapsack knapsack mixed_binary

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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