liu

precedence mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
X. Liu 1156 2178 4.2204e-03 open 1090* liu.mps.gz

Floorplan and placement problem in the physical design of VLSI circuits

Imported from MIPLIB2010. Model data to start generating other instances of this type provided by Ed Klotz in February 2019.

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
2 1090 1090 0 0 0 Ed Klotz 2019-02-27 “Found using a CPLEX 12.9 beta version after about 20 hours.”
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 Status Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Objective Tags
neos-5107597-kakapo easy 3114 2976 0 138 6498 19392 Jeff Linderoth neos-pseudoapplication-54 3645 benchmark benchmark_suitable aggregations precedence mixed_binary
neos-5115478-kaveri easy 3114 2976 0 138 6498 19392 Jeff Linderoth neos-pseudoapplication-54 1233.99999999096 numerics aggregations precedence mixed_binary
supportcase26 easy 436 396 0 40 870 2492 Michael Winkler 1745.123813 benchmark benchmark_suitable precedence mixed_binary
icir97_potential open 2112 1235 422 455 3314 9942 MIPLIB submission pool 6325* precedence mixed_binary general_linear
ic97_potential easy 728 450 73 205 1046 3138 L. Peeters 3942 benchmark benchmark_suitable precedence mixed_binary general_linear

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 Aug 28, 2019 by Gregor Hendel
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