uct-subprob

benchmark benchmark_suitable aggregations variable_bound set_partitioning set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Gerald Lach	2256	1973	2.27967e-03	easy	–	314	uct-subprob.mps.gz

Subproblem of a university course timetabling problem. Switched to “easy” because it was solved by Gurobi 5.0 in 2106 seconds (May 2012). 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	2256	2216
Constraints	1973	1885
Binaries	379	379
Integers	0	750
Continuous	1877	1087
Implicit Integers	0	750
Fixed Variables	0	0
Nonzero Density	0.00227967	0.00238631
Nonzeroes	10147	9968

Constraint Classification Properties
	Original	Presolved
Total	1973	1885
Empty	0	0
Free	0	0
Singleton	20	0
Aggregations	131	131
Precedence	0	0
Variable Bound	91	42
Set Partitioning	0	750
Set Packing	6	6
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	1725	956
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	0.845098
Constraint %		7.90451	8.21397	8.24934	8.38196
Variable %		8.98927	9.39177	9.45886	9.61538
Score	0.446533

Best Known Solution(s)

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

ID	Objective	Exact	Submitter	Date	Description
3	314	314	-	2018-10-29	Solution found during MIPLIB2017 problem selection.
2	314	314	-	2018-10-29	Solution imported from MIPLIB2010.
1	314	314	-	2018-10-12	Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to uct-subprob 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
10teams	easy	2025	1800	225	230	12150	MIPLIB submission pool	–	923.9999999999997	binary set_partitioning set_packing invariant_knapsack
probportfolio	hard	320	300	20	302	6620	Feng Qiu	–	16.734246764	invariant_knapsack mixed_binary
air04	easy	8904	8904	0	823	72965	G. Astfalk	air	56137	binary benchmark_suitable aggregations set_partitioning
air05	easy	7195	7195	0	426	52121	G. Astfalk	air	26374	benchmark binary benchmark_suitable set_partitioning
neos-911970	easy	888	840	48	107	3408	NEOS Server Submission	neos-pseudoapplication-70	54.76	benchmark benchmark_suitable set_partitioning set_covering mixed_binary

Reference

No bibliographic information available