xmas10-2

aggregations variable_bound cardinality invariant_knapsack binpacking knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Simon Felix 8100 8184 5.36443e-04 open -497* xmas10-2.mps.gz

Another formulation of an FHNW puzzle (Mix of longest path and flow problem) (Known bounds: 497-511)

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 8100 5980
Constraints 8184 6111
Binaries 900 708
Integers 0 0
Continuous 7200 5272
Implicit Integers 0 0
Fixed Variables 1884 0
Nonzero Density 0.000536443 0.000707480
Nonzeroes 35561 25854
Constraint Classification Properties
Original Presolved
Total 8184 6111
Empty 0 0
Free 0 0
Singleton 240 0
Aggregations 3504 2661
Precedence 0 0
Variable Bound 0 8
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 2 2
Invariant Knapsack 841 781
Equation Knapsack 0 0
Bin Packing 0 39
Knapsack 898 1110
Integer Knapsack 0 0
Mixed Binary 2699 1510
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 3.413970
Constraint % 0.016372 0.0293029 0.016372 32.1054
Variable % 0.033173 0.0382519 0.033173 11.7432
Score 0.721965

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion
ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
3 -497 -497 0 0 0 DeepMind 2020-08-12 Obtained with machine learning-based large neighborhood search.
2 -495 0 0 0 Edward Rothberg 2019-12-13 Obtained with Gurobi 9.0
1 -489 -489 0 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to xmas10-2 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
xmas10 open 8100 900 0 7200 9080 43635 Simon Felix -495* aggregations variable_bound cardinality invariant_knapsack binpacking knapsack mixed_binary
neos-1423785 open 21506 1920 0 19586 25721 64082 NEOS Server Submission neos-pseudoapplication-98 21893.26* aggregations precedence variable_bound mixed_binary
rocI-3-11 easy 5132 3894 762 476 8165 20540 Joerg Rambau rocI -50403 numerics aggregations precedence variable_bound set_partitioning mixed_binary general_linear
a1c1s1 easy 3648 192 0 3456 3312 10178 M. Vyve, Y. Pochet c1s1 11503.444125 benchmark_suitable aggregations variable_bound mixed_binary
a2c1s1 easy 3648 192 0 3456 3312 10178 M. Vyve, Y. Pochet c1s1 10889.137625 benchmark_suitable aggregations variable_bound mixed_binary

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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