Submitter Variables Constraints Density Status Group Objective MPS File
Siemens 9767 5440 2.06378e-03 hard sct -17.8875590846509 sct32.mps.gz

Assembly line balancing for printed circuit board production. First solved by Gurobi 7.0 in 65 hours (32 threads).

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 9767 6475
Constraints 5440 3721
Binaries 7728 5324
Integers 0 179
Continuous 2039 972
Implicit Integers 0 179
Fixed Variables 2135 0
Nonzero Density 0.00206378 0.00411638
Nonzeroes 109654 99178
Constraint Classification Properties
Original Presolved
Total 5440 3721
Empty 2 0
Free 0 0
Singleton 398 0
Aggregations 0 1
Precedence 4053 2815
Variable Bound 0 0
Set Partitioning 0 182
Set Packing 0 0
Set Covering 0 1
Cardinality 0 0
Invariant Knapsack 1 1
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 7 6
Integer Knapsack 0 0
Mixed Binary 979 714
General Linear 0 1
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 3.307924
Constraint % 0.0268745 0.0396832 0.0268745 4.29992
Variable % 0.0304229 0.0424138 0.0304229 2.44904
Score 0.804120

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 -17.88756 -17.88756 0 0 0 - 2018-10-12 Solution imported from MIPLIB2010.
1 -17.63610 -17.63610 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sct32 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
sct31 8515 5520 0 2995 3932 68453 Siemens sct open -29.317051745*
sct2 5885 2872 0 3013 2151 23643 Siemens sct easy -230.9891623
sct5 37265 23004 0 14261 13304 147037 Siemens sct open -228.1172303718*
sct1 22886 10312 0 12574 12154 105571 Siemens sct open -184.285877549*
neos-1337307 2840 2840 0 0 5687 30799 NEOS Server Submission neos-pseudoapplication-13 easy -202319

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
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