lectsched-1

feasibility benchmark_suitable aggregations precedence variable_bound integer_knapsack general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Harald Schilly 28718 50108 2.15978e-04 easy lectsched 0 lectsched-1.mps.gz

University lecture scheduling instance Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 28718 8869
Constraints 50108 17465
Binaries 28236 8671
Integers 482 198
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000215978 0.000503063
Nonzeroes 310792 77923
Constraint Classification Properties
Original Presolved
Total 50108 17465
Empty 0 0
Free 0 0
Singleton 2062 0
Aggregations 6 2
Precedence 71 45
Variable Bound 138 2063
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 2666 874
Mixed Binary 0 0
General Linear 45165 14481
Indicator 0 0

Structure

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

value min median mean max
Components 0.301030
Constraint % 100.0000 100.0000 100.0000 100.0000
Variable % 52.4747 52.4747 52.4747 52.4747
Score 0.475253

Best Known Solution(s)

No solution available for lectsched-1 .

Similar instances in collection

The following instances are most similar to lectsched-1 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-3 easy 25776 25319 457 0 45262 279967 Harald Schilly lectsched 0 feasibility benchmark_suitable aggregations precedence variable_bound integer_knapsack general_linear
lectsched-2 easy 17656 17287 369 0 30738 186520 Harald Schilly lectsched 0 feasibility benchmark_suitable aggregations precedence variable_bound integer_knapsack general_linear
neos-3355323-arnon open 10248 10104 144 0 21216 69912 Jeff Linderoth neos-pseudoapplication-38 no_solution feasibility aggregations precedence set_covering invariant_knapsack binpacking general_linear
neos-3211096-shag hard 4379 4289 90 0 10187 31705 Jeff Linderoth neos-pseudoapplication-38 Infeasible infeasible feasibility aggregations precedence variable_bound set_covering invariant_knapsack binpacking mixed_binary general_linear
neos-3603137-hoteo open 4003 3913 90 0 10510 39146 Jeff Linderoth neos-pseudoapplication-38 no_solution feasibility aggregations set_covering invariant_knapsack knapsack general_linear

Reference

@mastersthesis{Schilly2007,
 author = {Harald Schilly},
 language = {german},
 school = {Universit{\"a}t Wien},
 title = {Modellierung und {I}mplementation eines {V}orlesungsplaners},
 type = {Diploma thesis},
 year = {2007}
}

Last Update Mar 04, 2024 by Julian Manns
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