Submitter Variables Constraints Density Status Group Objective MPS File
Siemens 22886 12154 3.79538e-04 open sct -184.285877549 sct1.mps.gz

Assembly line balancing for printed circuit board production

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 22886 14519
Constraints 12154 9176
Binaries 10312 7774
Integers 0 1
Continuous 12574 6744
Implicit Integers 0 1
Fixed Variables 6957 0
Nonzero Density 0.000379538 0.000679115
Nonzeroes 105571 90476
Constraint Classification Properties
Original Presolved
Total 12154 9176
Empty 8 0
Free 0 0
Singleton 976 0
Aggregations 0 1
Precedence 5640 4335
Variable Bound 3275 2665
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 1 1
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 4 4
Integer Knapsack 0 0
Mixed Binary 2250 2169
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 3.301030
Constraint % 0.0108980 0.0381675 0.0108980 4.89320
Variable % 0.0136836 0.0308036 0.0136836 3.07882
Score 0.761112

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 -184.2859 -184.2859 0 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sct1 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
sct2 5885 2872 0 3013 2151 23643 Siemens sct easy -230.9891623
sct31 8515 5520 0 2995 3932 68453 Siemens sct open -29.317051745*
sct5 37265 23004 0 14261 13304 147037 Siemens sct open -228.1172303718*
sct32 9767 7728 0 2039 5440 109654 Siemens sct hard -17.8875590846509
gus-sch 5475 2736 2736 3 5984 33135 Alexandra M. Newman easy -1167

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
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