radiationm18-12-05

benchmark decomposition benchmark_suitable aggregations precedence variable_bound integer_knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Gleb Belov 40623 40935 5.782e-05 easy radiation 17566 radiationm18-12-05.mps.gz

Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don’t know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 40623 36322
Constraints 40935 36702
Binaries 14688 16197
Integers 11247 6619
Continuous 14688 13506
Implicit Integers 0 27
Fixed Variables 0 0
Nonzero Density 5.7820e-05 6.1587e-05
Nonzeroes 96149 82101
Constraint Classification Properties
Original Presolved
Total 40935 36961
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 25704 25840
Precedence 3672 1860
Variable Bound 3672 4829
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 0 259
Mixed Binary 3672 2505
General Linear 4215 1668
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 3.526469
Constraint % 0.00272 0.0284093 0.0272465 0.119884
Variable % 0.00550 0.0289413 0.0274914 0.115464
Score 0.954242

Best Known Solution(s)

No solution available for radiationm18-12-05 .

Similar instances in collection

The following instances are most similar to radiationm18-12-05 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
radiationm40-10-02 hard 172013 62400 47213 62400 173603 406825 Gleb Belov radiation 155328 benchmark decomposition benchmark_suitable aggregations precedence variable_bound integer_knapsack mixed_binary general_linear
supportcase17 easy 1381 732 235 414 2108 5253 Michael Winkler 1329.999999999999 benchmark_suitable aggregations precedence variable_bound set_partitioning mixed_binary general_linear
traininstance2 hard 12890 5278 2602 5010 15603 41531 Gleb Belov traininstance 71820 benchmark decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack mixed_binary general_linear
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
traininstance6 easy 10218 4154 2056 4008 12309 32785 Gleb Belov traininstance 28290 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack mixed_binary general_linear

Reference

@Inbook{Belov2016,
author="Belov, Gleb
and Stuckey, Peter J.
and Tack, Guido
and Wallace, Mark",
editor="Rueher, Michel",
title="Improved Linearization of Constraint Programming Models",
bookTitle="Principles and Practice of Constraint Programming: 22nd International Conference, CP 2016, Toulouse, France, September 5-9, 2016, Proceedings",
year="2016",
publisher="Springer International Publishing",
pages="49--65",
isbn="978-3-319-44953-1",
doi="10.1007/978-3-319-44953-1_4",
url="http://dx.doi.org/10.1007/978-3-319-44953-1_4"
}

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