Submitter Variables Constraints Density Status Group Objective MPS File
Qie He 1310 2430 4.62099e-03 easy control 406205618311810 control20-5-10-5.mps.gz

Optimal control of a discrete-time switched system model Numerically challenging. Different solvers report this instance as solved to optimality, infeasible, or unbounded.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1310 1300
Constraints 2430 2420
Binaries 100 100
Integers 0 0
Continuous 1210 1200
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00462099 0.00466942
Nonzeroes 14710 14690
Constraint Classification Properties
Original Presolved
Total 2430 2420
Empty 0 0
Free 0 0
Singleton 10 0
Aggregations 0 0
Precedence 0 0
Variable Bound 2000 2000
Set Partitioning 20 20
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 400 400
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 1.322219
Constraint % 4.58678 4.60744 4.58678 5.00000
Variable % 4.96183 4.96183 4.96183 4.96183
Score 0.875765

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 4.062056e+14 4.062056e+14 0 0.0599859 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to control20-5-10-5 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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
control30-5-10-4 1960 150 0 1810 3640 21460 Qie He control easy Infeasible
control30-3-2-3 332 90 0 242 512 1472 Qie He control easy -17.25658927192
neos-799711 41998 910 0 41088 59218 147164 NEOS Server Submission neos-pseudoapplication-25 easy -11170211.734
rentacar 9557 55 0 9502 6803 41842 MIPLIB submission pool easy 30356760.9838
neos-5078479-escaut 3471 1330 0 2141 3442 9062 Jeff Linderoth neos-pseudoapplication-35 easy 9682.3381787

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 Nov 19, 2018 by Gregor Hendel
generated with R Markdown
© 2018 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint