Submitter Variables Constraints Density Status Group Objective MPS File
Christoph Helmberg 444474 134322 1.75215e-05 open shs 22671.75152511* shs1014.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 444474 432014
Constraints 134322 129704
Binaries 1296 38535
Integers 440754 391864
Continuous 2424 1615
Implicit Integers 0 808
Fixed Variables 0 0
Nonzero Density 1.75215e-05 1.80319e-05
Nonzeroes 1046080 1010400
Constraint Classification Properties
Original Presolved
Total 135537 130673
Empty 9 0
Free 0 0
Singleton 2562 0
Aggregations 645 1042
Precedence 0 0
Variable Bound 6444 6339
Set Partitioning 0 1035
Set Packing 432 192
Set Covering 0 0
Cardinality 0 0
Invariant Knapsack 0 3
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 1647 1158
Mixed Binary 0 0
General Linear 123798 120904
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.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
1 22671.75 22671.75 0 8e-07 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to shs1014 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
shs1023 444625 1296 440899 2430 133944 1044720 C. Helmberg shs hard 13136.636273
shs1042 467589 864 464295 2430 133377 1114010 C. Helmberg shs open 11072.614853*
snp-04-052-052 221438 4546 4546 212346 129662 459205 Gerald Gamrath supplynetworkplanning open 951577637.7644*
snp-10-052-052 549021 11059 11059 526903 320836 1138760 Gerald Gamrath supplynetworkplanning open 16136245760*
snp-10-004-052 538777 815 815 537147 300348 1097780 Gerald Gamrath supplynetworkplanning open 5906642865.78*

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}
}

Last Update Nov 19, 2018 by Gregor Hendel
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