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

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.

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 Integers Continuous Constraints Nonz. Submitter Group Objective Tags
neos-3075395-nile easy 26928 1728 0 25200 27756 102672 Jeff Linderoth neos-pseudoapplication-50 6021720 decomposition numerics aggregations variable_bound set_packing invariant_knapsack knapsack mixed_binary
neos-5075914-elvire easy 5003 2638 0 2365 3720 11440 Jeff Linderoth neos-pseudoapplication-35 323.83878739 numerics aggregations precedence variable_bound set_packing mixed_binary
neos-5078479-escaut easy 3471 1330 0 2141 3442 9062 Jeff Linderoth neos-pseudoapplication-35 9682.3381787 benchmark_suitable aggregations variable_bound mixed_binary
danoint easy 521 56 0 465 664 3232 Daniel Bienstock dano 65.6666666666 benchmark_suitable variable_bound cardinality mixed_binary
beavma easy 390 195 0 195 372 975 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"}

Last Update Jun 24, 2019 by Gregor Hendel
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