Submitter Variables Constraints Density Status Group Objective MPS File
X. Liu 1156 2178 4.2204e-03 open 1110 liu.mps.gz

Floorplan and placement problem in the physical design of VLSI circuits

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1156 1154
Constraints 2178 2178
Binaries 1089 1087
Integers 0 0
Continuous 67 67
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00422040 0.00422772
Nonzeroes 10626 10626
Constraint Classification Properties
Original Presolved
Total 2178 2178
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 4 4
Variable Bound 0 0
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 0
Mixed Binary 2174 2174
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 0.301030
Constraint % 8.90725 8.90725 8.90725 8.90725
Variable % 19.41070 19.41070 19.41070 19.41070
Score 0.071783

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 1110 1110 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to liu 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
neos-5107597-kakapo 3114 2976 0 138 6498 19392 Jeff Linderoth neos-pseudoapplication-54 easy 3645
neos-5115478-kaveri 3114 2976 0 138 6498 19392 Jeff Linderoth neos-pseudoapplication-54 easy 1233.99999999096
supportcase26 436 396 0 40 870 2492 Michael Winkler easy 1745.123813
icir97_potential 2112 1235 422 455 3314 9942 MIPLIB submission pool open 6325*
ic97_potential 728 450 73 205 1046 3138 L. Peeters easy 3942

Reference

@article{AchterbergKochMartin2006,
 author = {Tobias Achterberg and Thorsten Koch and Alexander Martin},
 doi = {10.1016/j.orl.2005.07.009},
 journal = {Operations Research Letters},
 language = {English},
 number = {4},
 pages = {361--372},
 publisher = {Elsevier / North-Holland},
 title = {{MIPLIB} 2003},
 volume = {34},
 year = {2006}
}

Last Update Nov 09, 2018 by Gregor Hendel
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