mkc1

decomposition benchmark_suitable precedence variable_bound invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 5325 3411 9.38031e-04 easy -607.20703 mkc1.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 5325 5315
Constraints 3411 3274
Binaries 3087 3077
Integers 0 0
Continuous 2238 2238
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000938031 0.000969812
Nonzeroes 17038 16876
Constraint Classification Properties
Original Presolved
Total 3411 3274
Empty 0 0
Free 0 0
Singleton 132 0
Aggregations 0 0
Precedence 710 705
Variable Bound 2267 2267
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 24 24
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 278 278
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 3.369216
Constraint % 0.0305437 0.0388097 0.0305437 0.366524
Variable % 0.0376294 0.0425442 0.0376294 0.188147
Score 0.907299

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 -607.207 -607.207 0 8e-07 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mkc1 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
mkc hard 5325 5323 0 2 3411 17038 J. Kalagnanam, M. Dawande -563.8460100132 decomposition precedence variable_bound set_packing invariant_knapsack binpacking 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
qiu easy 840 48 0 792 1192 3432 Y. Chiu, J. Eckstein -132.87313695 benchmark_suitable precedence variable_bound 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
comp16-3idx open 64193 56745 14 7434 71594 347276 Matias Sørensen coursetimetabling 50* decomposition aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack mixed_binary general_linear

Reference

No bibliographic information available

Last Update Apr 09, 2019 by Gregor Hendel
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