radiationm40-10-02

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	172013	173603	1.36235e-05	hard	radiation	155328	radiationm40-10-02.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	172013	153623
Constraints	173603	155243
Binaries	62400	68580
Integers	47213	27743
Continuous	62400	57300
Implicit Integers	0	139
Fixed Variables	0	0
Nonzero Density	1.36235e-05	1.45291e-05
Nonzeroes	406825	346502

Constraint Classification Properties
	Original	Presolved
Total	173603	156393
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	109200	109963
Precedence	15600	7802
Variable Bound	15600	20555
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	1150
Mixed Binary	15600	10587
General Linear	17603	6336
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	4.154120
Constraint %		0.000644	0.00673	0.00644	0.0283427
Variable %		0.001300	0.00685	0.00650	0.0272816
Score	0.959112

Best Known Solution(s)

No solution available for radiationm40-10-02 .

Similar instances in collection

The following instances are most similar to radiationm40-10-02 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
radiationm18-12-05	easy	40623	14688	11247	14688	40935	96149	Gleb Belov	radiation	17566	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
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
uccase7	hard	33020	7224	0	25796	47132	335644	Daniel Espinoza	uccase	26834.28427331005	aggregations precedence variable_bound set_partitioning invariant_knapsack binpacking knapsack mixed_binary

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"
}