dcmulti

decomposition precedence variable_bound set_packing cardinality invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 548 290 8.2746e-03 easy 188182 dcmulti.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 548 548
Constraints 290 272
Binaries 75 75
Integers 0 0
Continuous 473 473
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00827460 0.00870143
Nonzeroes 1315 1297
Constraint Classification Properties
Original Presolved
Total 290 272
Empty 0 0
Free 0 0
Singleton 18 0
Aggregations 0 0
Precedence 17 17
Variable Bound 90 90
Set Partitioning 0 0
Set Packing 5 5
Set Covering 0 0
Cardinality 3 3
Invariant Knapsack 10 10
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 147 147
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 1.832509
Constraint % 0.367647 1.18525 0.367647 7.72059
Variable % 0.912409 1.38904 0.912409 5.65693
Score 0.765840

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 188182 188182 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dcmulti 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
exp-1-500-5-5 easy 990 250 0 740 550 1980 MIPLIB submission pool exp_and_fc 65887 benchmark benchmark_suitable variable_bound set_packing mixed_binary
dsbmip easy 1886 192 0 1694 1182 7366 MIPLIB submission pool -305.19817501 aggregations precedence variable_bound set_partitioning mixed_binary
neos-4954672-berkel hard 1533 630 0 903 1848 8007 Jeff Linderoth neos-pseudoapplication-43 2612710 benchmark benchmark_suitable aggregations variable_bound mixed_binary
app3 easy 3080 100 0 2980 766 14707 Emilie Danna app 5751714.3289 variable_bound set_packing mixed_binary
a1c1s1 easy 3648 192 0 3456 3312 10178 M. Vyve, Y. Pochet c1s1 11503.444125 benchmark_suitable aggregations variable_bound mixed_binary

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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