Submitter Variables Constraints Density Status Group Objective MPS File
Tamas Terlaky 5698 12243 4.61206e-04 open milo 1154036.6298 milo-v12-6-r1-75-1.mps.gz

The models come from structural design optimization where the objective is to minimize the total weight of 2 and 3 dimensional cantilevers. The 2D examples are simpler, and GuRobi can solve the 40_1 and 58_1 instances, while struggles with 75_1. The 3D examples are more challenging. The x_0 and x_1 models are two different modeling of the same identical problems, so their optimal value is the same. The 1_x and 2_x problems are solved by GuRoBi, the 3_x and 4_x are not solved in reasonable time.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 5698 5698
Constraints 12243 11473
Binaries 1925 1925
Integers 0 385
Continuous 3773 3388
Implicit Integers 0 385
Fixed Variables 0 0
Nonzero Density 0.000461206 0.000480381
Nonzeroes 32174 31404
Constraint Classification Properties
Original Presolved
Total 12243 11473
Empty 0 0
Free 0 0
Singleton 770 0
Aggregations 391 391
Precedence 1540 1540
Variable Bound 4235 4235
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 5307 4922
General Linear 0 385
Indicator 0 0

Structure

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

value min median mean max
Components 2.363612
Constraint % 0.235335 0.414432 0.235335 38.3160
Variable % 0.228150 0.434783 0.228150 38.5574
Score 0.802340

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 1154037 1154037 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to milo-v12-6-r1-75-1 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
milo-v12-6-r1-58-1 4440 1500 0 2940 9540 25068 Tamas Terlaky milo open 634205.24671*
milo-v12-6-r2-40-1 2688 840 0 1848 5628 14604 Tamas Terlaky milo easy 326481.14282799
milo-v13-4-3d-4-0 688 160 0 528 1328 3292 Tamas Terlaky milo open 363892.969282453*
milo-v13-4-3d-3-0 516 120 0 396 996 2456 Tamas Terlaky milo open 273238.08563337*
neos-4292145-piako 32950 13370 0 19580 75834 190186 Jeff Linderoth neos-pseudoapplication-57 open 112705.8*

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