sct31

aggregations precedence invariant_knapsack knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Siemens 8515 3932 2.04453e-03 easy sct -29.31709163566364 sct31.mps.gz

Assembly line balancing for printed circuit board production Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 8515 5329
Constraints 3932 2473
Binaries 5520 3335
Integers 0 1
Continuous 2995 1993
Implicit Integers 0 1
Fixed Variables 2066 0
Nonzero Density 0.00204453 0.00452035
Nonzeroes 68453 59572
Constraint Classification Properties
Original Presolved
Total 3932 2473
Empty 0 0
Free 0 0
Singleton 248 0
Aggregations 0 1
Precedence 2875 1739
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 5 4
Integer Knapsack 0 0
Mixed Binary 803 727
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 3.217484
Constraint % 0.0404367 0.0426682 0.0404367 3.72018
Variable % 0.0369072 0.0379255 0.0369072 1.71618
Score 0.702714

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 -29.31709 -29.31709 0 0 0 Gerald Gamrath 2023-03-28 Found with COPT 6.5 in 40min on an AMD Ryzen 5900X with 12 Threads.

Similar instances in collection

The following instances are most similar to sct31 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
sct2 easy 5885 2872 0 3013 2151 23643 Siemens sct -230.9891623 benchmark benchmark_suitable precedence invariant_knapsack knapsack mixed_binary general_linear
sct5 open 37265 23004 0 14261 13304 147037 Siemens sct -228.119492755556* decomposition aggregations precedence invariant_knapsack knapsack mixed_binary general_linear
sct1 open 22886 10312 0 12574 12154 105571 Siemens sct -187.527650839031* decomposition aggregations precedence variable_bound 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

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