opm2-z7-s8

binary benchmark_suitable precedence knapsack

Submitter Variables Constraints Density Status Group Objective MPS File
Daniel Espinoza 2023 31798 1.23985e-03 easy opm2 -11242 opm2-z7-s8.mps.gz

Problems coming from precedence constrained knapsacks arising in mining applications. These are one-period problems with integer data but large root LP GAP

Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 2023 1901
Constraints 31798 26796
Binaries 2023 1901
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00123985 0.00135016
Nonzeroes 79756 68776
Constraint Classification Properties
Original Presolved
Total 31798 26796
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 31790 26788
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 8 8
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 0.30103
Constraint % 0.00373 0.00373 0.00373 0.00373
Variable % 99.84220 99.84220 99.84220 99.84220
Score 0.00000

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 -11242 -11242 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to opm2-z7-s8 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
opm2-z6-s1 easy 1350 1350 0 0 15533 41844 Daniel Espinoza opm2 -6202 binary benchmark_suitable precedence knapsack
opm2-z8-s0 easy 3200 3200 0 0 63608 152793 Daniel Espinoza opm2 -15775 binary benchmark_suitable precedence knapsack
opm2-z10-s4 hard 6250 6250 0 0 160633 371240 Daniel Espinoza opm2 -33269 benchmark binary benchmark_suitable precedence knapsack
rmine11 open 12292 12292 0 0 97389 241240 Daniel Espinoza rmine -2508.404144* binary precedence mixed_binary
opm2-z12-s8 hard 10800 10800 0 0 319508 725377 Daniel Espinoza opm2 -58540 binary precedence knapsack

Reference

No bibliographic information available

Last Update Mär 19, 2019 by Gregor Hendel
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