Submitter Variables Constraints Density Status Group Objective MPS File
Yoshihiro Kanno 3514 34872 1.31841e-03 open evaprime -3.04087065621 eva1aprime6x6opt.mps.gz

MILP approach to generate structures with negative thermal expansion coefficients

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 3514 3514
Constraints 34872 34872
Binaries 836 836
Integers 0 0
Continuous 2678 2678
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00131841 0.00131841
Nonzeroes 161558 161558
Constraint Classification Properties
Original Presolved
Total 34872 34872
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 408 408
Precedence 0 0
Variable Bound 731 731
Set Partitioning 0 0
Set Packing 17155 17155
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 16578 16578
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 1.113943
Constraint % 0.0028700 4.37170 0.0573526 51.8840
Variable % 0.0569152 2.17226 0.2276610 23.7336
Score 0.401446

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 -3.040871 -3.040871 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to eva1aprime6x6opt 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
eva1aprime5x5opt 1712 400 0 1312 11929 57162 Yoshihiro Kanno evaprime open -10.04881147049*
neos-3754224-navua 150228 3574 0 146654 232387 652974 Jeff Linderoth neos-pseudoapplication-83 easy Infeasible
neos-619167 3452 400 0 3052 6800 20020 NEOS Server Submission neos-pseudoapplication-83 easy 1.66489361858996
neos-3594536-henty 22924 0 22924 0 21280 65712 Jeff Linderoth neos-pseudoapplication-83 open 401793*
neos-5018451-chiese 265713 1222 244 264247 170175 1249960 Jeff Linderoth neos-pseudoapplication-69 easy -147988824.81

Reference

@Article{HK15nte,
  author = "M.~Hirota, Y.~Kanno",
  title = "Optimal design of periodic frame structures with negative thermal expansion via mixed integer programming",
  journal = "Optimization and Engineering",
  volume = "16",
  pages = "767--809"
  year = "2015"
}

Last Update Nov 17, 2018 by Gregor Hendel
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