mine-90-10

binary benchmark_suitable precedence knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
Andreas Bley 900 6270 2.73029e-03 easy mine -784302337.6332 mine-90-10.mps.gz

Multi-period mine production scheduling instance Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 900 900
Constraints 6270 6270
Binaries 900 900
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00273029 0.00273029
Nonzeroes 15407 15407
Constraint Classification Properties
Original Presolved
Total 6270 6270
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 6250 6250
Variable Bound 0 0
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 20 20
Integer Knapsack 0 0
Mixed Binary 0 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 0.301030
Constraint % 0.15949 0.15949 0.15949 0.15949
Variable % 70.00000 70.00000 70.00000 70.00000
Score 0.000478

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
2 -784302338 -784302338 0 0 5.00e-07 - 2018-10-12 Solution imported from MIPLIB2010.
1 -784302338 -784302338 0 0 2.75e-05 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mine-90-10 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
mine-166-5 easy 830 830 0 0 8429 19412 Andreas Bley mine -566395707.9 binary benchmark_suitable precedence knapsack
reblock166 easy 1660 1660 0 0 17024 39442 Andreas Bley reblock -600052168.91 binary benchmark_suitable precedence knapsack
reblock115 easy 1150 1150 0 0 4735 13724 Andreas Bley reblock -36800603.2332 benchmark binary benchmark_suitable precedence knapsack
reblock420 easy 4200 4200 0 0 62800 138670 Andreas Bley reblock -517793000 binary benchmark_suitable precedence knapsack
reblock354 hard 3540 3540 0 0 19906 52901 Andreas Bley reblock -39280521.2281657 binary precedence knapsack

Reference

@article{BleyBolandFrickeFroyland2009,
 author = {A. Bley and N. Boland and C. Fricke and G. Froyland},
 journal = {Computers and Operations Research},
 language = {English},
 pages = {1641--1647},
 title = {A strengthened formulation and cutting planes for the open pit
mine production scheduling problem},
 volume = {37},
 year = {2010}
}

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