Submitter Variables Constraints Density Status Group Objective MPS File
Dimitri Papageorgiou 109519 108566 3.66287e-05 open maritime NA lr2-22dr3-333vc4v17a-t60.mps.gz

Maritime Inventory Routing Problem Library - Group 1 Instances. These instances are available at https://mirplib.scl.gatech.edu/instances, along with a host of additional information such as the underlying data used to generate the model, best known upper and lower bounds, and more. As of 2012, Group 1 instances gave Cplex and Gurobi tremendous difficulty finding a single feasible solution.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 109519 101925
Constraints 108566 95614
Binaries 92865 89270
Integers 0 0
Continuous 16654 12655
Implicit Integers 0 0
Fixed Variables 892 0
Nonzero Density 3.66287e-05 4.19024e-05
Nonzeroes 435517 408358
Constraint Classification Properties
Original Presolved
Total 108566 95614
Empty 3094 0
Free 0 0
Singleton 3081 0
Aggregations 0 28
Precedence 163 138
Variable Bound 79440 72896
Set Partitioning 163 374
Set Packing 780 696
Set Covering 0 0
Cardinality 10016 9759
Invariant Knapsack 10016 9980
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 1813 1743
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 1.892095
Constraint % 0.00209 1.26011 0.00314 11.6730
Variable % 0.00196 1.27834 0.00294 11.8668
Score 0.894505

Best Known Solution(s)

No solution available for lr2-22dr3-333vc4v17a-t60 .

Similar instances in collection

The following instances are most similar to lr2-22dr3-333vc4v17a-t60 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
sing326 55156 40010 0 15146 50781 268173 Daniel Espinoza sing hard 7753674.85376
sing44 59708 43524 0 16184 54745 281260 Daniel Espinoza sing hard 8128831.1772
neos-3682128-sandon 7880 7870 10 0 14920 50438 Hans Mittelmann neos-pseudoapplication-10 open 34674770*
uccase8 37413 9576 0 27837 53709 214625 Daniel Espinoza uccase easy 11167.74532
uccase9 33242 8064 0 25178 49565 332316 Daniel Espinoza uccase easy 10993.131409

Reference

@article{papageorgiou2014mirplib,
  title={MIRPLib--A library of maritime inventory routing problem instances: Survey, core model, and benchmark results},
  author={Papageorgiou, Dimitri J and Nemhauser, George L and Sokol, Joel and Cheon, Myun-Seok and Keha, Ahmet B},
  journal={European Journal of Operational Research},
  volume={235},
  number={2},
  pages={350--366},
  year={2014},
  publisher={Elsevier}
}

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