lectsched-2

feasibility benchmark_suitable aggregations precedence variable_bound integer_knapsack general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Harald Schilly	17656	30738	3.43683e-04	easy	lectsched	0	lectsched-2.mps.gz

University lecture scheduling instance Imported from MIPLIB2010.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	17656	4814
Constraints	30738	9393
Binaries	17287	4656
Integers	369	158
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000343683	0.000956833
Nonzeroes	186520	43266

Constraint Classification Properties
	Original	Presolved
Total	30738	9393
Empty	0	0
Free	0	0
Singleton	1468	0
Aggregations	6	2
Precedence	54	28
Variable Bound	90	805
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	2040	505
Mixed Binary	0	0
General Linear	27080	8053
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	0.301030
Constraint %		100.0000	100.0000	100.0000	100.0000
Variable %		49.5303	49.5303	49.5303	49.5303
Score	0.504697

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

Similar instances in collection

The following instances are most similar to lectsched-2 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	Constraints	Nonz.	Submitter	Group	Objective	Tags
lectsched-3	easy	25776	25319	457	45262	279967	Harald Schilly	lectsched	0	feasibility benchmark_suitable aggregations precedence variable_bound integer_knapsack general_linear
lectsched-1	easy	28718	28236	482	50108	310792	Harald Schilly	lectsched	0	feasibility benchmark_suitable aggregations precedence variable_bound integer_knapsack general_linear
neos-3355323-arnon	open	10248	10104	144	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	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	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}
}