neos-3634244-kauru

set_partitioning invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Jeff Linderoth 4376 761450 6.88003e-04 open neos-pseudoapplication-110 1398.014670518538* neos-3634244-kauru.mps.gz
Location of instance in collection

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 4376 4376
Constraints 761450 761450
Binaries 4375 4375
Integers 0 0
Continuous 1 1
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000688003 0.000688003
Nonzeroes 2292500 2292500
Constraint Classification Properties
Original Presolved
Total 761450 761450
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 175 175
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 25 25
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 761250 761250
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 of original problem

Matrix after trivial presolving

Nonzero entries after trivial presolving

Decomposed structure of original problem

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving

Decomposed structure after trivial presolving (dec-file)

value min median mean max
Components 2.245513
Constraint % 0.000131 0.000131 0.000131 0.000131
Variable % 0.571298 0.571298 0.571298 0.571298
Score 0.000229

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 1398.015 1398.016 7e-07 0 0 Michael Winkler 2022-08-01 Found with Gurobi 9.5.1 using default settings.
1 1398.016 1398.016 0e+00 0 0 - 2018-10-24 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to neos-3634244-kauru 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
rd-rplusc-21 easy 622 457 0 165 125899 852384 MIPLIB submission pool – 165395.275295 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary
assign1-10-4 open 572 520 0 52 582 28280 Robert Fourer assign1 422* set_partitioning cardinality mixed_binary
assign1-5-8 easy 156 130 0 26 161 3720 Robert Fourer assign1 211.999999999998 benchmark benchmark_suitable set_partitioning cardinality mixed_binary
neos-525149 easy 3640 3600 0 40 144120 1519200 NEOS Server Submission neos-pseudoapplication-110 60.99999999106585 decomposition set_partitioning mixed_binary
neos-5221106-oparau open 25445 25120 0 325 13897 245756 Hans Mittelmann neos-pseudoapplication-46 52.66999999999962* precedence variable_bound set_partitioning cardinality knapsack mixed_binary

Reference

No bibliographic information available
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