reblock115

benchmark binary benchmark_suitable precedence knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
Andreas Bley 1150 4735 2.52036e-03 easy reblock -36800603.2332 reblock115.mps.gz

Multi-period mine production scheduling instances

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 1150 1150
Constraints 4735 4735
Binaries 1150 1150
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00252036 0.00252036
Nonzeroes 13724 13724
Constraint Classification Properties
Original Presolved
Total 4735 4735
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 4715 4715
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 0.4771212
Constraint % 0.190074 49.7888 49.7888 99.3875
Variable % 0.869565 50.0000 50.0000 99.1304
Score 0.0105270

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 -36800603 -36800603 0 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to reblock115 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-90-10 easy 900 900 0 0 6270 15407 Andreas Bley mine -784302337.6332 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
reblock166 easy 1660 1660 0 0 17024 39442 Andreas Bley reblock -600052168.91 binary benchmark_suitable precedence knapsack
reblock354 hard 3540 3540 0 0 19906 52901 Andreas Bley reblock -39280521.2281657 binary precedence knapsack
reblock420 easy 4200 4200 0 0 62800 138670 Andreas Bley reblock -517793000 binary benchmark_suitable precedence knapsack

Reference

@Article{BleyBolandFrickeFroyland2009a,
    author       = \"A. Bley and N. Boland and C. Fricke and G. Froyland\",
    title        = \"A strengthened formulation and cutting planes for the open pit mine production scheduling problem\",
    journal      = \"Computers and Operations Research\",
    volume       = \"37\",
    pages        = \"1641--1647\",
    year         = \"2010\",
    language     = \"English\"
}

Last Update Mär 19, 2019 by Gregor Hendel
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