shs1042

aggregations variable_bound set_partitioning integer_knapsack general_linear

Submitter Variables Constraints Density Status Group Objective MPS File
C. Helmberg 467589 133377 1.78626e-05 open shs 11070.7015802402* shs1042.mps.gz

Joint online truck scheduling and inventory management for multiple warehouses. Imported from the MIPLIB2010 submissions.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 467589 460746
Constraints 133377 131677
Binaries 864 38820
Integers 464295 420307
Continuous 2430 1619
Implicit Integers 0 810
Fixed Variables 0 0
Nonzero Density 1.78626e-05 1.80345e-05
Nonzeroes 1114010 1094150
Constraint Classification Properties
Original Presolved
Total 134595 132699
Empty 6 0
Free 0 0
Singleton 1300 0
Aggregations 427 589
Precedence 0 0
Variable Bound 7119 6963
Set Partitioning 0 1280
Set Packing 0 0
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 0
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 1218 1022
Mixed Binary 0 0
General Linear 124525 122845
Indicator 0 0

Structure

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

value min median mean max
Components
Constraint %
Variable %
Score

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion
ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
3 11070.70 7.0e-07 7e-07 0e+00 Edward Rothberg 2019-12-13 Obtained with Gurobi 9.0
2 11072.53 0.0e+00 0e+00 0e+00 Robert Ashford and Alkis Vazacopoulus 2019-12-18 Found using ODH|CPlex
1 11072.61 11072.61 2.4e-06 1e-06 1e-07 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to shs1042 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
shs1014 open 444474 1296 440754 2424 134322 1046077 Christoph Helmberg shs 22671.75152511* aggregations variable_bound set_partitioning set_packing invariant_knapsack integer_knapsack general_linear
shs1023 hard 444625 1296 440899 2430 133944 1044725 C. Helmberg shs 13136.636273 aggregations variable_bound set_partitioning set_packing invariant_knapsack integer_knapsack general_linear
snp-10-052-052 open 549021 11059 11059 526903 320836 1138755 Gerald Gamrath supplynetworkplanning 6364531568.73705* numerics aggregations variable_bound mixed_binary general_linear
snp-04-052-052 open 221438 4546 4546 212346 129662 459205 Gerald Gamrath supplynetworkplanning 885202237.1881002* numerics aggregations variable_bound mixed_binary general_linear
snp-10-004-052 open 538777 815 815 537147 300348 1097779 Gerald Gamrath supplynetworkplanning 5906642865.78* numerics aggregations variable_bound mixed_binary general_linear

Reference

@Article{HelmbergRoehl2007,
    author =       {Christoph Helmberg and Stefan R\\\"ohl},
    title =        {A Case Study of Joint Online Truck Scheduling and InventoryManagement for Multiple Warehouses},
    journal =  OR,
    year =         {2007},
    MONTH       = jul,
    volume =       55,
    number =       4,
    pages =        {733--752}
}

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