xmas10

aggregations variable_bound cardinality invariant_knapsack binpacking knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Simon Felix 8100 9080 5.93286e-04 open -497.0* xmas10.mps.gz

An ILP formulation of an FHNW puzzle (a mix of longest path and a flow problem).

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 8100 5988
Constraints 9080 6872
Binaries 900 708
Integers 0 0
Continuous 7200 5280
Implicit Integers 0 0
Fixed Variables 1884 0
Nonzero Density 0.000593286 0.000774201
Nonzeroes 43635 31858
Constraint Classification Properties
Original Presolved
Total 9080 6872
Empty 0 0
Free 0 0
Singleton 240 0
Aggregations 3504 2665
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 3595 2267
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 3.376759
Constraint % 0.0145582 0.0297402 0.0145582 32.4647
Variable % 0.0331290 0.0416758 0.0331290 16.7633
Score 0.652521

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 -497 -497 0 0 0 Mars Davletshin 2023-11-24 It was obtained with Huawei OptVerse solver using neural heuristic.
1 -495 -495 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to xmas10 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
xmas10-2 open 8100 900 0 7200 8184 35561 Simon Felix -497* 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
neos-4333596-skien easy 1005 460 0 545 812 5811 Jeff Linderoth neos-pseudoapplication-43 -14610731.01 benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality 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
irish-electricity easy 61728 9888 0 51840 104259 523257 Paula Carroll 3723497.591396 benchmark benchmark_suitable precedence variable_bound invariant_knapsack binpacking knapsack mixed_binary

Reference

No bibliographic information available

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