Submitter Variables Constraints Density Status Group Objective MPS File
C. Helmberg 467589 133377 1.78626e-05 open shs 11072.614853* 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.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
shs1014 444474 1296 440754 2424 134322 1046080 Christoph Helmberg shs open 22671.75152511*
shs1023 444625 1296 440899 2430 133944 1044720 C. Helmberg shs hard 13136.636273
snp-10-052-052 549021 11059 11059 526903 320836 1138760 Gerald Gamrath supplynetworkplanning open 16136245760*
snp-04-052-052 221438 4546 4546 212346 129662 459205 Gerald Gamrath supplynetworkplanning open 951577637.7644*
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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