Submitter Variables Constraints Density Status Group Objective MPS File
Tamas Terlaky 688 1328 3.60308e-03 open milo 363892.969282453 milo-v13-4-3d-4-0.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 688 688
Constraints 1328 1168
Binaries 160 160
Integers 0 80
Continuous 528 448
Implicit Integers 0 80
Fixed Variables 0 0
Nonzero Density 0.00360308 0.00389754
Nonzeroes 3292 3132
Constraint Classification Properties
Original Presolved
Total 1328 1168
Empty 0 0
Free 0 0
Singleton 160 0
Aggregations 164 164
Precedence 0 0
Variable Bound 400 400
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 604 524
General Linear 0 80
Indicator 0 0

Structure

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

value min median mean max
Components 1.653213
Constraint % 1.11301 2.11317 1.11301 44.3493
Variable % 1.16279 2.27273 1.16279 47.3837
Score 0.713683

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 363893 363893 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to milo-v13-4-3d-4-0 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-v13-4-3d-3-0 516 120 0 396 996 2456 Tamas Terlaky milo open 273238.08563337*
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-v12-6-r2-40-1 2688 840 0 1848 5628 14604 Tamas Terlaky milo easy 326481.14282799
supportcase17 1381 732 235 414 2108 5253 Michael Winkler easy 1330

Reference

No bibliographic information available

Last Update Nov 17, 2018 by Gregor Hendel
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