pk1

benchmark benchmark_suitable precedence mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 86 45 2.36434e-01 easy 11 pk1.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 86 86
Constraints 45 45
Binaries 55 55
Integers 0 0
Continuous 31 31
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.236434 0.236434
Nonzeroes 915 915
Constraint Classification Properties
Original Presolved
Total 45 45
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 30 30
Variable Bound 0 0
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 15 15
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 0.301030
Constraint % 66.6667 66.6667 66.6667 66.6667
Variable % 36.0465 36.0465 36.0465 36.0465
Score 0.426357

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

Similar instances in collection

The following instances are most similar to pk1 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
acc-tight4 easy 1620 1620 0 0 3285 17073 J. Walser acc-tight 0 binary benchmark_suitable precedence set_partitioning set_packing set_covering cardinality invariant_knapsack mixed_binary
neos-1330346 easy 2664 2664 0 0 4248 13032 NEOS Server Submission neos-pseudoapplication-49 8 binary decomposition benchmark_suitable aggregations precedence variable_bound cardinality
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
acc-tight5 easy 1339 1339 0 0 3052 16134 J. Walser acc-tight 0 binary benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack mixed_binary
qiu easy 840 48 0 792 1192 3432 Y. Chiu, J. Eckstein -132.87313695 benchmark_suitable precedence variable_bound mixed_binary

Reference

No bibliographic information available

Last Update Okt 02, 2019 by Gregor Hendel
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