Submitter Variables Constraints Density Status Group Objective MPS File
Tamas Terlaky 2688 5628 9.65358e-04 easy milo 326481.14282799 milo-v12-6-r2-40-1.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 2688 2688
Constraints 5628 5208
Binaries 840 840
Integers 0 210
Continuous 1848 1638
Implicit Integers 0 210
Fixed Variables 0 0
Nonzero Density 0.000965358 0.001013210
Nonzeroes 14604 14184
Constraint Classification Properties
Original Presolved
Total 5628 5208
Empty 0 0
Free 0 0
Singleton 420 0
Aggregations 216 216
Precedence 630 630
Variable Bound 1890 1890
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 2472 2262
General Linear 0 210
Indicator 0 0

Structure

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

value min median mean max
Components 2.100371
Constraint % 0.403226 0.722888 0.403226 36.7512
Variable % 0.409226 0.800000 0.409226 38.8021
Score 0.756297

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 326481.1 326481.1 0 3.8e-06 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to milo-v12-6-r2-40-1 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-r1-75-1 5698 1925 0 3773 12243 32174 Tamas Terlaky milo open 1154036.6298*
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 19, 2018 by Gregor Hendel
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