loopha13

benchmark_suitable aggregations precedence variable_bound invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Hamideh 19356 23758 9.09168e-05 easy 6.40233 loopha13.mps.gz

This is a Gams model which uses CPLEX as a solver. Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 19356 5245
Constraints 23758 9643
Binaries 18150 4045
Integers 0 0
Continuous 1206 1200
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 9.09168e-05 5.43581e-04
Nonzeroes 41809 27493
Constraint Classification Properties
Original Presolved
Total 23758 9643
Empty 0 0
Free 0 0
Singleton 14060 0
Aggregations 771 772
Precedence 991 989
Variable Bound 99 98
Set Partitioning 0 0
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 1190 1142
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 6647 6642
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 2.654177
Constraint % 0.0109075 0.0612275 0.0218150 2.00698
Variable % 0.0381316 0.1796840 0.0571973 3.52717
Score 0.272272

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 6.40233 6.40233 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to loopha13 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
istanbul-no-cutoff easy 5282 30 0 5252 20346 71477 Utz-Uwe Haus 204.08170701 benchmark benchmark_suitable aggregations variable_bound knapsack mixed_binary
net12 easy 14115 1603 0 12512 14021 80384 P. Belotti 214 benchmark decomposition benchmark_suitable precedence set_packing cardinality invariant_knapsack mixed_binary
csched007 easy 1758 1457 0 301 351 6379 Tallys Yunes csched 350.9999999999955 benchmark benchmark_suitable aggregations variable_bound set_partitioning mixed_binary general_linear
ic97_tension easy 703 176 4 523 319 2070 MIPLIB submission pool 3942 benchmark_suitable aggregations mixed_binary general_linear
app1-1 easy 2480 1225 0 1255 4926 18275 Emilie Danna app -3 benchmark benchmark_suitable precedence variable_bound set_covering mixed_binary

Reference

No bibliographic information available

Last Update Mar 04, 2024 by Julian Manns
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