ger50-17-trans-dfn-3t

mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
C. Raack 22414 499 1.53814e-02 open ger50 3969.4334* ger50-17-trans-dfn-3t.mps.gz

Multi-layer network design problem using a link-flow formulation over a path-flow formulation. Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 22414 22382
Constraints 499 498
Binaries 0 0
Integers 18062 18062
Continuous 4352 4320
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0153814 0.0154258
Nonzeroes 172035 171940
Constraint Classification Properties
Original Presolved
Total 499 498
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 0 0
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 0 0
Integer Knapsack 0 0
Mixed Binary 273 272
General Linear 226 226
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 1.230449
Constraint % 3.41365 3.41365 3.41365 3.41365
Variable % 1.20633 1.20633 1.20633 1.20633
Score 0.539596

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion
ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
3 3969.433 0 7e-07 0 Edward Rothberg 2019-12-13 Obtained with Gurobi 9.0
2 3991.682 0 0e+00 0 Robert Ashford and Alkis Vazacopoulus 2019-12-18 Found using ODH|CPlex
1 4004.582 4004.582 0 0e+00 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to ger50-17-trans-dfn-3t 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 Status Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Objective Tags
ger50-17-trans-pop-3t open 22414 0 18062 4352 499 172035 C. Raack ger50 4038.441* mixed_binary general_linear
ger50_17_trans hard 22414 0 18062 4352 499 172035 C. Raack ger50 7393.2618 numerics mixed_binary general_linear
ger50-17-ptp-pop-3t open 4892 0 540 4352 545 14285 C. Raack ger50 5224.5144* mixed_binary general_linear
ger50-17-ptp-pop-6t hard 4892 0 540 4352 545 14285 C. Raack ger50 8942.6328 mixed_binary general_linear
ta1-UUM easy 2288 0 605 1683 439 5654 MIPLIB submission pool network_design 7518328.199999998 decomposition numerics aggregations mixed_binary general_linear

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
generated with R Markdown
© 2023 by Zuse Institute Berlin (ZIB)
Imprint