Submitter Variables Constraints Density Status Group Objective MPS File
Utz-Uwe Haus 47611 213801 4.66962e-05 open 73.82346956113* snip10x10-35r1budget17.mps.gz

Exact MILP reformulation using binary decision diagrams to obtain scenario bundles of 2-stage stochastic expected shortest path and expected maximum flow problem with decision dependent scenario probabilities. Notes: * very few binary variables * for each fixing of the binaries a system of equations computing conditioned probabilities remains

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 47611 47542
Constraints 213801 117774
Binaries 63 44
Integers 0 0
Continuous 47548 47498
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 4.66962e-05 6.52454e-05
Nonzeroes 475334 365323
Constraint Classification Properties
Original Presolved
Total 213801 117774
Empty 0 0
Free 0 0
Singleton 95069 0
Aggregations 23762 23737
Precedence 0 0
Variable Bound 0 1081
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 1 1
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 94969 92955
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 0.301030
Constraint % 79.8451 79.8451 79.8451 79.8451
Variable % 50.0463 50.0463 50.0463 50.0463
Score 0.398856

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 73.82347 73.82348 0 1e-06 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to snip10x10-35r1budget17 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
istanbul-no-cutoff 5282 30 0 5252 20346 71477 Utz-Uwe Haus easy 204.0817070
net12 14115 1603 0 12512 14021 80384 P. Belotti easy 214.0000000
neos-5188808-nattai 14544 288 0 14256 29452 133686 Jeff Linderoth neos-pseudoapplication-98 easy 0.1102836
neos-691058 3006 1755 0 1251 2667 30837 NEOS Server Submission neos-pseudoapplication-110 easy 297.0000000
nsa 388 36 0 352 1297 4204 MIPLIB submission pool easy 120.0000000

Reference

@TechReport{haus-michini-laumanns:17-arxiv,
  author =   {Utz-Uwe Haus and Carla Michini and Marco Laumanns},
  title =    {Scenario Aggregation using Binary Decision Diagrams
                  for Stochastic Programs with Endogenous Uncertainty},
  institution =  {arxiv.org},
  year =     2017,
  type =     {arxiv eprint},
  number =   {arXiv:1701.04055}
}

Last Update Nov 19, 2018 by Gregor Hendel
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