Submitter Variables Constraints Density Status Group Objective MPS File
Hiroshige Dan ; Koichi Fujii 4552 4587 1.35953e-03 easy pegsolitaire 1 peg-solitaire-a3.mps.gz

Model to solve instance of a board game “Peg solitaire”

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 4552 4199
Constraints 4587 4232
Binaries 4552 4199
Integers 0 0
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00135953 0.00146965
Nonzeroes 28387 26116
Constraint Classification Properties
Original Presolved
Total 4587 4232
Empty 0 0
Free 0 0
Singleton 37 0
Aggregations 0 13
Precedence 0 0
Variable Bound 0 24
Set Partitioning 35 59
Set Packing 0 0
Set Covering 0 0
Cardinality 1295 1191
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 2945
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 3220 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 1.491362
Constraint % 2.1991 2.41507 2.1991 8.67817
Variable % 3.0000 3.22403 3.0000 9.72093
Score 0.696953

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 1 1 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to peg-solitaire-a3 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
neos-2328163-agri 2236 2236 0 0 1963 12740 Jeff Linderoth neos-pseudoapplication-36 easy 27674
neos-4333464-siret 2731 1363 0 1368 2880 27710 Jeff Linderoth neos-pseudoapplication-58 easy 24.785819952
neos-4343293-stony 9400 4698 0 4702 10650 55668 Jeff Linderoth neos-pseudoapplication-58 open 46.38472895*
neos-4355351-swalm 21065 10530 0 10535 21609 371467 Jeff Linderoth neos-pseudoapplication-58 open 34.08154*
neos-3237086-abava 50192 50192 0 0 69472 233552 Jeff Linderoth neos-pseudoapplication-51 open

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
generated with R Markdown
© 2018 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint