lr1dr12vc10v70b-t360

aggregations variable_bound set_partitioning set_packing integer_knapsack mixed_binary general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
Dimitri Papageorgiou 193525 56160 5.40192e-05 open maritime 8892940.708079* lr1dr12vc10v70b-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 193525 181369
Constraints 56160 54677
Binaries 90670 123667
Integers 93480 48342
Continuous 9375 9360
Implicit Integers 0 0
Fixed Variables 7815 0
Nonzero Density 5.40192e-05 5.71020e-05
Nonzeroes 587100 566264
Constraint Classification Properties
Original Presolved
Total 56160 54687
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 11
Precedence 0 0
Variable Bound 0 55
Set Partitioning 0 481
Set Packing 0 4229
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 4680 370
Mixed Binary 0 4309
General Linear 51480 45232
Indicator 0 0

Structure

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

value min median mean max
Components 1.113943
Constraint % 1.34609 1.37459 1.36803 1.47777
Variable % 4.01596 4.18288 4.18959 4.30809
Score 0.158054

Best Known Solution(s)

No solution available for lr1dr12vc10v70b-t360 .

Similar instances in collection

The following instances are most similar to lr1dr12vc10v70b-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 Status Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Objective Tags
lr1dr04vc05v17a-t360 open 36912 15326 17979 3607 12600 107170 Dimitri Papageorgiou maritime 416992.4113064* aggregations variable_bound set_partitioning set_packing integer_knapsack mixed_binary general_linear
lr1dr02vc05v8a-t360 open 20810 12174 6471 2165 7560 58950 Dimitri Papageorgiou maritime 195940.312927* aggregations variable_bound set_partitioning set_packing cardinality mixed_binary general_linear
neos-4703857-ahuroa easy 266502 133470 0 133032 221496 536040 Jeff Linderoth neos-pseudoapplication-82 7868280750.276 numerics aggregations variable_bound mixed_binary general_linear
csched010 easy 1758 1457 0 301 351 6376 Tallys Yunes csched 407.999999999994 benchmark_suitable aggregations variable_bound set_partitioning 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

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}
}

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