lectsched-3

feasibility benchmark_suitable aggregations precedence variable_bound integer_knapsack general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Harald Schilly	25776	45262	2.3997e-04	easy	lectsched	0	lectsched-3.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	25776	7884
Constraints	45262	15503
Binaries	25319	7695
Integers	457	189
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000239970	0.000573202
Nonzeroes	279967	70060

Constraint Classification Properties
	Original	Presolved
Total	45262	15503
Empty	0	0
Free	0	0
Singleton	1889	0
Aggregations	6	2
Precedence	70	40
Variable Bound	132	1649
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	2536	688
Mixed Binary	0	0
General Linear	40629	13124
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	0.30103
Constraint %		100.000	100.000	100.000	100.000
Variable %		50.278	50.278	50.278	50.278
Score	0.49722

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	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to lectsched-3 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-1	easy	28718	28236	482	50108	310792	Harald Schilly	lectsched	0	feasibility benchmark_suitable aggregations precedence variable_bound integer_knapsack general_linear
lectsched-2	easy	17656	17287	369	30738	186520	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}
}