tpl-tub-ss16

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	595066	901872	6.87028e-06	hard	–	150501	tpl-tub-ss16.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	595066	589276
Constraints	901872	504739
Binaries	570303	565191
Integers	0	21046
Continuous	24763	3039
Implicit Integers	0	21046
Fixed Variables	0	0
Nonzero Density	6.87028e-06	1.10285e-05
Nonzeroes	3687100	3280220

Constraint Classification Properties
	Original	Presolved
Total	901872	504739
Empty	84802	0
Free	0	0
Singleton	309044	0
Aggregations	1439	428
Precedence	93254	87674
Variable Bound	197452	201065
Set Partitioning	0	29878
Set Packing	181990	181881
Set Covering	0	0
Cardinality	8832	0
Invariant Knapsack	252	564
Equation Knapsack	0	0
Bin Packing	204	2
Knapsack	609	471
Integer Knapsack	0	0
Mixed Binary	23994	2776
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
4	150501		Hans Mittelmann	2020-01-21	Solved with Gurobi 9.0 using 80 Threads within 62 hours
3	150515		Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	150755		Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	256344	256344	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to tpl-tub-ss16 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-ws1617	open	747601	713749	0	33852	1154615	4720567	János Höner	–	121108.0*	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	–	772999.0*	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	–	-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}
}