academictimetablebig

binary aggregations precedence variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack equation_knapsack binpacking knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
Joshua Friedman 168974 167661 5.45484e-05 hard 427 academictimetablebig.mps.gz

Academic timetabling integer program Reported solved after 1 1/2 days using Gurobi.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 168974 158073
Constraints 167661 153402
Binaries 168974 158073
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 5.45484e-05 6.07257e-05
Nonzeroes 1545380 1472520
Constraint Classification Properties
Original Presolved
Total 167661 153402
Empty 1762 0
Free 0 0
Singleton 820 0
Aggregations 185 122
Precedence 1601 1583
Variable Bound 48963 43724
Set Partitioning 682 5080
Set Packing 6462 10370
Set Covering 18226 39
Cardinality 5700 1060
Invariant Knapsack 22976 85136
Equation Knapsack 1800 1710
Bin Packing 2664 2565
Knapsack 2060 2013
Integer Knapsack 0 0
Mixed Binary 53760 0
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
Constraint %
Variable %
Score

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
1 427 427 0 0 0 Joshua Friedman 2018-11-09 “Found using Gurobi 8.1 on a very fast 16 Xeon core machine for 37 hours”

Similar instances in collection

The following instances are most similar to academictimetablebig 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
academictimetablesmall easy 28926 28926 0 0 23294 268350 Joshua Friedman 0 benchmark binary decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack equation_knapsack binpacking knapsack
neos-5195221-niemur easy 14546 9792 0 4754 42256 176586 Jeff Linderoth neos-pseudoapplication-32 0.0038354326 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack mixed_binary
neos-5193246-nerang easy 14546 9792 0 4754 42256 175794 Jeff Linderoth neos-pseudoapplication-32 0.0382197621728 benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack mixed_binary
nursesched-medium-hint03 hard 34248 34170 78 0 14062 622800 Haroldo Gambini Santos nursescheduling 115 benchmark decomposition benchmark_suitable set_partitioning set_packing cardinality invariant_knapsack general_linear
physiciansched3-3 easy 79555 72141 0 7414 266227 1062480 Pelin Damci-Kurt physiciansched 2623271.326667 benchmark decomposition benchmark_suitable precedence variable_bound set_packing set_covering invariant_knapsack binpacking knapsack mixed_binary

Reference

@article{Friedman16,
  title={Automated timetabling for small colleges and high schools using huge integer programs},
  author={Friedman, Joshua S},
  journal={arXiv preprint arXiv:1612.08777},
  year={2016}
}

Last Update Okt 02, 2019 by Gregor Hendel
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