tpl-tub-ws1617

aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
János Höner 747601 1154615 5.46874e-06 open 121108.0* tpl-tub-ws1617.mps.gz

Model for the Post-Enrollment Course Timetabling Problem at TU Berlin from the summer term 2016 and the winter term 2016/2017

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 747601 707630
Constraints 1154615 690366
Binaries 713749 674652
Integers 0 28846
Continuous 33852 4132
Implicit Integers 0 28846
Fixed Variables 0 0
Nonzero Density 5.46874e-06 8.05884e-06
Nonzeroes 4720570 3936940
Constraint Classification Properties
Original Presolved
Total 1154615 690366
Empty 85028 0
Free 0 0
Singleton 320953 0
Aggregations 1546 297
Precedence 141482 124535
Variable Bound 278863 246549
Set Partitioning 0 37685
Set Packing 283662 276243
Set Covering 0 0
Cardinality 8839 0
Invariant Knapsack 275 690
Equation Knapsack 0 0
Bin Packing 298 5
Knapsack 612 450
Integer Knapsack 0 0
Mixed Binary 33057 3912
General Linear 0 0
Indicator 0 0

Structure

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

value min median mean max
Components
Constraint %
Variable %
Score

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion
ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
4 121108 0 0 0 Edward Rothberg 2020-04-22 Obtained with Gurobi 9.0 using the solution improvement heuristic
3 121210 0 0 0 Edward Rothberg 2019-12-13 Obtained with Gurobi 9.0
2 144704 0 0 0 Robert Ashford and Alkis Vazacopoulus 2019-12-18 Found using ODH|CPlex
1 149397 149397 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to tpl-tub-ws1617 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
tpl-tub-ss16 hard 595066 570303 0 24763 901872 3687098 János Höner 150501 aggregations precedence variable_bound set_partitioning set_packing invariant_knapsack binpacking knapsack mixed_binary
nb10tb open 73340 16880 0 56460 150495 1172289 Serge Bisaillon 13796452423.08137* decomposition numerics aggregations precedence variable_bound set_packing invariant_knapsack binpacking knapsack mixed_binary
rwth-timetable open 923564 317079 0 606485 440134 4510786 Gerald Lach 777065.0000013275* aggregations precedence variable_bound set_partitioning set_packing mixed_binary
neos-850681 easy 2594 2479 16 99 2067 37113 NEOS Server Submission neos-pseudoapplication-12 2472 benchmark_suitable aggregations variable_bound set_partitioning set_packing invariant_knapsack general_linear
supportcase31 open 488882 488760 0 122 26195 1833861 Domenico Salvagnin -3720089.081* decomposition numerics precedence set_packing invariant_knapsack knapsack mixed_binary

Reference

@article{honer2015ip,
  title={An IP-based model for the post-enrollment-based course timetabling problem at TU Berlin},
  author={H{\"o}ner, J and Lach, G and Zorn, E},
  journal={MISTA},
  pages={331--344},
  year={2015}
}

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