Submitter Variables Constraints Density Status Group Objective MPS File
Daniel Espinoza 6250 160633 3.69777e-04 hard opm2 -33269 opm2-z10-s4.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 6250 5958
Constraints 160633 146325
Binaries 6250 5958
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000369777 0.000390326
Nonzeroes 371240 340288
Constraint Classification Properties
Original Presolved
Total 160633 146325
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 160625 146317
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 % 0.000683 0.000683 0.000683 0.000683
Variable % 99.932900 99.932900 99.932900 99.932900
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 -33269 -33269 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to opm2-z10-s4 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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
opm2-z12-s8 10800 10800 0 0 319508 725377 Daniel Espinoza opm2 open -58395*
opm2-z8-s0 3200 3200 0 0 63608 152793 Daniel Espinoza opm2 easy -15775
opm2-z7-s8 2023 2023 0 0 31798 79756 Daniel Espinoza opm2 easy -11242
rmine11 12292 12292 0 0 97389 241240 Daniel Espinoza rmine open -2508.404144*
rmine13 23980 23980 0 0 197155 485784 Daniel Espinoza rmine open -3494.715232*

Reference

No bibliographic information available

Last Update Nov 19, 2018 by Gregor Hendel
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