control30-3-2-3

decomposition numerics variable_bound set_partitioning mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Qie He	332	512	8.65964e-03	easy	control	-17.25658927192	control30-3-2-3.mps.gz

Optimal control of a discrete-time switched system model

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	332	330
Constraints	512	510
Binaries	90	90
Integers	0	0
Continuous	242	240
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00865964	0.00872252
Nonzeroes	1472	1468

Constraint Classification Properties
	Original	Presolved
Total	512	510
Empty	0	0
Free	0	0
Singleton	2	0
Aggregations	0	0
Precedence	0	0
Variable Bound	360	360
Set Partitioning	30	30
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	0
Mixed Binary	120	120
General Linear	0	0
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	1.491362
Constraint %		2.94118	2.95425	2.94118	3.33333
Variable %		3.31325	3.31325	3.31325	3.31325
Score	0.856910

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
1	-17.25659	24.98036	9.2e-06	4e-06	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to control30-3-2-3 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
neos-3075395-nile	easy	26928	1728	25200	27756	102672	Jeff Linderoth	neos-pseudoapplication-50	6021719.99999999	decomposition numerics aggregations variable_bound set_packing invariant_knapsack knapsack mixed_binary
neos-5075914-elvire	easy	5003	2638	2365	3720	11440	Jeff Linderoth	neos-pseudoapplication-35	323.8387873868924	numerics aggregations precedence variable_bound set_packing mixed_binary
neos-5078479-escaut	easy	3471	1330	2141	3442	9062	Jeff Linderoth	neos-pseudoapplication-35	9682.338178668055	benchmark_suitable aggregations variable_bound mixed_binary
danoint	easy	521	56	465	664	3232	Daniel Bienstock	dano	65.6666666666	benchmark_suitable variable_bound cardinality mixed_binary
beavma	easy	390	195	195	372	975	MIPLIB submission pool	–	383285	decomposition aggregations variable_bound set_packing mixed_binary

Reference

@TECHREPORT{HeWu2017, 
author="Q. He and Z. Wu", 
title="Optimal control of a discrete-time switched system", 
INSTITUTION ={Department of Industrial and Systems Engineering, University of Minnesota},
month={February},
year="2017"}