lectsched-5-obj

benchmark benchmark_suitable aggregations precedence variable_bound set_covering invariant_knapsack integer_knapsack general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Harald Schilly 21805 38884 2.82601e-04 easy lectsched 24 lectsched-5-obj.mps.gz

scheduling lectures at university - smaller subset of data with objective to minimize certain overlappings

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 21805 8919
Constraints 38884 15849
Binaries 21389 8744
Integers 416 175
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000282601 0.000504063
Nonzeroes 239608 71253
Constraint Classification Properties
Original Presolved
Total 38884 15849
Empty 0 0
Free 0 0
Singleton 1728 0
Aggregations 3 2
Precedence 60 102
Variable Bound 102 1658
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 1
Cardinality 0 0
Invariant Knapsack 0 6
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 2358 422
Mixed Binary 0 0
General Linear 34633 13658
Indicator 0 0

Structure

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

value min median mean max
Components 0.9542425
Constraint % 0.0126478 10.43680 0.0126478 83.4061
Variable % 0.0146167 6.77209 0.0146167 54.0744
Score 0.3839330

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 24 24 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to lectsched-5-obj 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
lectsched-4-obj easy 7901 7665 236 0 14163 82428 Harald Schilly lectsched 4 benchmark_suitable aggregations precedence variable_bound set_covering integer_knapsack general_linear
lectsched-3 easy 25776 25319 457 0 45262 279967 Harald Schilly lectsched 0 feasibility benchmark_suitable aggregations precedence variable_bound integer_knapsack general_linear
neos-4338804-snowy hard 1344 1260 42 42 1701 6342 Jeff Linderoth neos-pseudoapplication-40 1471 benchmark benchmark_suitable precedence set_covering mixed_binary general_linear
l2p12 easy 11786 10906 590 290 21315 59629 Gleb Belov l2p 5 benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack general_linear
lectsched-1 easy 28718 28236 482 0 50108 310792 Harald Schilly lectsched 0 feasibility benchmark_suitable aggregations precedence variable_bound integer_knapsack general_linear

Reference

No bibliographic information available

Last Update Nov 22, 2019 by Gregor Hendel
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