app1-1

benchmark_suitable precedence variable_bound set_covering mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Emilie Danna 2480 4926 1.49593e-03 easy app -3 app1-1.mps.gz

The archive contains 5 instances coming from 3 applications.app1 is interesting because the continuous variables (w) drive the model.Some solvers have numerical problems on app2 models: some solutions found violate the constraints by a small amount.app2 and app3 models are easy to solve. But they don’t solve fast enough for the time limit I have in mind so I’d like to propose them for inclusion in MIPLIB.

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2480 2477
Constraints 4926 4873
Binaries 1225 1224
Integers 0 0
Continuous 1255 1253
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00149593 0.00149332
Nonzeroes 18275 18025
Constraint Classification Properties
Original Presolved
Total 4926 4873
Empty 0 0
Free 0 0
Singleton 1 0
Aggregations 0 0
Precedence 1225 1176
Variable Bound 0 96
Set Partitioning 0 0
Set Packing 0 0
Set Covering 25 24
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 3675 3577
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 1.869232
Constraint % 0.0205212 1.02578 0.0410425 3.03714
Variable % 0.0807103 1.36931 0.0807103 3.99516
Score 0.719682

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 -3 -3 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to app1-1 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
app1-2 easy 26871 13300 0 13571 53467 199175 Emilie Danna app -41 benchmark decomposition benchmark_suitable precedence variable_bound set_covering mixed_binary
loopha13 easy 19356 18150 0 1206 23758 41809 Hamideh 6.40233 benchmark_suitable aggregations precedence variable_bound invariant_knapsack mixed_binary
rocII-5-11 easy 11523 11341 0 182 26897 303291 Joerg Rambau rocI -6.675504731538 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing mixed_binary
fhnw-schedule-pairb200 open 40200 40000 0 200 99554 298554 Simon Felix schedule -17.508798775* precedence variable_bound invariant_knapsack mixed_binary
neos-1445532 easy 14406 1999 0 12407 1924 27736 NEOS Server Submission neos-pseudoapplication-88 -17041 aggregations invariant_knapsack mixed_binary

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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