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.

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.

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 Int. Viol Cons. Viol Obj. Viol Submitter Date Description
3 314 314 0 0 0 - 2018-10-29 Solution found during MIPLIB2017 problem selection.
2 314 314 0 0 0 - 2018-10-29 Solution imported from MIPLIB2010.
1 314 314 0 0 0 - 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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
10teams 2025 1800 0 225 230 12150 MIPLIB submission pool easy 924.00000
probportfolio 320 300 0 20 302 6620 Feng Qiu hard 16.73425
air04 8904 8904 0 0 823 72965 G. Astfalk air easy 56137.00000
air05 7195 7195 0 0 426 52121 G. Astfalk air easy 26374.00000
neos-911970 888 840 0 48 107 3408 NEOS Server Submission neos-pseudoapplication-70 easy 54.76000

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
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