Submitter Variables Constraints Density Status Group Objective MPS File
Yoshihiro Kanno 1712 11929 2.79898e-03 open evaprime -10.04881147049 eva1aprime5x5opt.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 1712 1712
Constraints 11929 11929
Binaries 400 400
Integers 0 0
Continuous 1312 1312
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00279898 0.00279898
Nonzeroes 57162 57162
Constraint Classification Properties
Original Presolved
Total 11929 11929
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 192 192
Precedence 0 0
Variable Bound 417 417
Set Partitioning 0 0
Set Packing 3424 3424
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 7896 7896
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 1.755875
Constraint % 0.14251 0.809701 0.301786 28.3175
Variable % 0.46729 1.785710 0.934579 51.8692
Score 0.305011

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 -10.04881 -10.04881 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to eva1aprime5x5opt 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
eva1aprime6x6opt 3514 836 0 2678 34872 161558 Yoshihiro Kanno evaprime open -3.04087065621*
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*
stockholm 20644 962 0 19682 57346 171076 Paul Rubin open 126*

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 09, 2018 by Gregor Hendel
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