sct5

decomposition aggregations precedence invariant_knapsack knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Siemens 37265 13304 2.96581e-04 open sct -228.1172303718* sct5.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 37265 28057
Constraints 13304 10750
Binaries 23004 18400
Integers 0 1
Continuous 14261 9656
Implicit Integers 0 1
Fixed Variables 6853 0
Nonzero Density 0.000296581 0.000428702
Nonzeroes 147037 129302
Constraint Classification Properties
Original Presolved
Total 13304 10750
Empty 0 0
Free 0 0
Singleton 198 0
Aggregations 0 4
Precedence 11601 9299
Variable Bound 0 0
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 9 9
Integer Knapsack 0 0
Mixed Binary 1495 1436
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 3.963882
Constraint % 0.00930 0.00941 0.00930 0.920930
Variable % 0.00711 0.00715 0.00711 0.355745
Score 0.865302

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 -228.1172 -228.1172 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to sct5 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
sct31 open 8515 5520 0 2995 3932 68453 Siemens sct -29.317051745* aggregations precedence invariant_knapsack knapsack mixed_binary general_linear
sct1 open 22886 10312 0 12574 12154 105571 Siemens sct -184.285877549* decomposition aggregations precedence variable_bound invariant_knapsack knapsack mixed_binary general_linear
sct2 easy 5885 2872 0 3013 2151 23643 Siemens sct -230.9891623 benchmark benchmark_suitable precedence invariant_knapsack knapsack mixed_binary general_linear
sct32 hard 9767 7728 0 2039 5440 109654 Siemens sct -17.8875590846509 decomposition aggregations precedence set_partitioning set_covering invariant_knapsack knapsack mixed_binary general_linear
gus-sch easy 5475 2736 2736 3 5984 33135 Alexandra M. Newman -1167 decomposition aggregations precedence variable_bound set_packing set_covering cardinality invariant_knapsack integer_knapsack mixed_binary general_linear

Reference

No bibliographic information available

Last Update Aug 28, 2019 by Gregor Hendel
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