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	–	121066.0*	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

Location of instance in collection

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.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	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	Submitter	Date	Description
6	121066	121066	Mars Davletshin	2024-12-23	It was obtained with Huawei’s OptVerse solver using LNS.
5	121067	121067	Michael Winkler	2024-07-16	Gurobi 11.0.1 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory
4	121108		Edward Rothberg	2020-04-22	Obtained with Gurobi 9.0 using the solution improvement heuristic
3	121210		Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	144704		Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	149397	149397	-	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	–	772998.0*	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	–	-3720096.597*	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}
}