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

Location of instance in collection

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.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	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	easy	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"
}