reblock420

binary benchmark_suitable precedence knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
Andreas Bley 4200 62800 5.25743e-04 easy reblock -517793000 reblock420.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 4200 4200
Constraints 62800 62800
Binaries 4200 4200
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000525743 0.000525743
Nonzeroes 138670 138670
Constraint Classification Properties
Original Presolved
Total 62800 62800
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 62780 62780
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 % 0.0159236 0.0159236 0.0159236 0.0159236
Variable % 64.2857000 64.2857000 64.2857000 64.2857000
Score 0.000057

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 1 -517792519 -517792519 0 0 5e-07 - 2018-10-15 Solution imported from MIPLIB2010.
1 2 -517792519 -517792519 0 0 2e-07 - 2018-10-15 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to reblock420 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
reblock166 easy 1660 1660 0 0 17024 39442 Andreas Bley reblock -600052168.91 binary benchmark_suitable precedence knapsack
mine-166-5 easy 830 830 0 0 8429 19412 Andreas Bley mine -566395707.9 binary benchmark_suitable precedence knapsack
reblock354 hard 3540 3540 0 0 19906 52901 Andreas Bley reblock -39280521.2281657 binary precedence knapsack
mine-90-10 easy 900 900 0 0 6270 15407 Andreas Bley mine -784302337.6332 binary benchmark_suitable precedence knapsack
reblock115 easy 1150 1150 0 0 4735 13724 Andreas Bley reblock -36800603.2332 benchmark binary benchmark_suitable 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}
}

Last Update Mär 19, 2019 by Gregor Hendel
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