Submitter Variables Constraints Density Status Group Objective MPS File
Dimitri Papageorgiou 36912 12600 2.30428e-04 open maritime 416992.4113064 lr1dr04vc05v17a-t360.mps.gz

Maritime Inventory Routing Problem Library - Group 2 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. There are three sets of 24 instances (for a total of 72 instances) with a planning horizon of 120, 180, and 360 time periods, respectively. As of March 2016, Cplex and Gurobi could only solve one or two to provably optimality in less than an hour.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 36912 34601
Constraints 12600 12330
Binaries 15326 20593
Integers 17979 10408
Continuous 3607 3600
Implicit Integers 0 0
Fixed Variables 1507 0
Nonzero Density 0.000230428 0.000241942
Nonzeroes 107170 103220
Constraint Classification Properties
Original Presolved
Total 12600 12334
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 4
Precedence 0 0
Variable Bound 0 27
Set Partitioning 0 98
Set Packing 0 1400
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 1800 364
Mixed Binary 0 1436
General Linear 10800 9005
Indicator 0 0

Structure

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

value min median mean max
Components 2.562293
Constraint % 0.0081100 0.0719009 0.0081100 5.83131
Variable % 0.0144425 0.1996800 0.0722126 12.16060
Score 0.233988

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 416992.4 416992.4 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to lr1dr04vc05v17a-t360 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
lr1dr12vc10v70b-t360 193525 90670 93480 9375 56160 587100 Dimitri Papageorgiou maritime open 8892940.708079*
lr1dr02vc05v8a-t360 20810 12174 6471 2165 7560 58950 Dimitri Papageorgiou maritime open 195940.312927*
csched010 1758 1457 0 301 351 6376 Tallys Yunes csched easy 407.999999999994
neos-1067731 8779 6330 0 2449 3423 30998 NEOS Server Submission neos-pseudoapplication-11 easy 1025102
csched007 1758 1457 0 301 351 6379 Tallys Yunes csched easy 351

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}
}

@article{papageorgiou2014approximate,
  title={Approximate dynamic programming for a class of long-horizon maritime inventory routing problems},
  author={Papageorgiou, Dimitri J and Cheon, Myun-Seok and Nemhauser, George and Sokol, Joel},
  journal={Transportation Science},
  volume={49},
  number={4},
  pages={870--885},
  year={2014},
  publisher={INFORMS}
}

Last Update Nov 17, 2018 by Gregor Hendel
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