triptim2

aggregations precedence variable_bound set_partitioning set_packing set_covering cardinality invariant_knapsack general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
MIPLIB submission pool 27326 14427 1.32383e-03 hard triptim 12.0051 triptim2.mps.gz

Trip timetable optimization problem. Imported from MIPLIB2010. First solved by Gurobi 6.5 (12 threads) in about 13 days (December 2015).

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 27326 23400
Constraints 14427 14420
Binaries 20776 16864
Integers 6543 6530
Continuous 7 6
Implicit Integers 0 0
Fixed Variables 6 0
Nonzero Density 0.00132383 0.00150019
Nonzeroes 521898 506207
Constraint Classification Properties
Original Presolved
Total 14427 14420
Empty 0 0
Free 0 0
Singleton 3 0
Aggregations 14 13
Precedence 1 1
Variable Bound 6 5
Set Partitioning 50 274
Set Packing 1898 1898
Set Covering 3784 1890
Cardinality 2127 1915
Invariant Knapsack 5 1897
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 0 0
General Linear 6539 6527
Indicator 0 0

Structure

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

value min median mean max
Components 1.176091
Constraint % 0.00693 2.82544 0.0069300 20.2219
Variable % 0.00855 2.87027 0.0128205 20.3675
Score 0.316978

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 12.0051 12.0051 0 0 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to triptim2 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
triptim4 hard 27226 18537 8682 7 14361 520532 MIPLIB submission pool triptim 9.818099999800323 aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack general_linear
triptim1 easy 30055 20456 9592 7 15706 515436 MIPLIB submission pool triptim 22.8680999999999 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack general_linear
triptim7 easy 27342 18619 8716 7 14427 521944 MIPLIB submission pool triptim 2566.02 aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack mixed_binary general_linear
triptim8 hard 27342 18619 8716 7 14427 521945 MIPLIB submission pool triptim 2566.065999999642 aggregations variable_bound set_partitioning set_packing set_covering invariant_knapsack mixed_binary general_linear
supportcase34 easy 17879 11196 6682 1 15170 748887 Domenico Salvagnin 83.99999985999999 benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack integer_knapsack mixed_binary general_linear

Reference

No bibliographic information available

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