Submitter Variables Constraints Density Status Group Objective MPS File
C. Helmberg 444625 133944 1.75422e-05 hard shs 13136.636273 shs1023.mps.gz

Joint online truck scheduling and inventory management for multiple warehouses. The problem was solved by CPLEX 12.5 on a Intel Xeon E7540 @ 2.00 GHz, 1TB with 24 cores and 24 threads. The maximum memory requirements were 410GB. It took approximately 114.5 hours.

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 444625 432224
Constraints 133944 129533
Binaries 1296 37930
Integers 440899 392674
Continuous 2430 1620
Implicit Integers 0 810
Fixed Variables 0 0
Nonzero Density 1.75422e-05 1.80285e-05
Nonzeroes 1044720 1009370
Constraint Classification Properties
Original Presolved
Total 135162 130559
Empty 9 0
Free 0 0
Singleton 2568 0
Aggregations 648 1337
Precedence 0 0
Variable Bound 5763 5697
Set Partitioning 0 1021
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 1650 1215
Mixed Binary 0 0
General Linear 124092 121094
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 13136.88 13136.88 0 5e-07 0 - 2018-10-13 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to shs1023 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*
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{\"o}hl},
 journal = {Operations Research},
 number = {4},
 pages = {733--752},
 title = {A Case Study of Joint Online Truck Scheduling and Inventory
Management for Multiple Warehouses},
 volume = {55},
 year = {2007}
}

@misc{helmbergweb,
 key = {zzz helmbergweb},
 note = {http://www.tu-chemnitz.de/mathematik/discrete/projects/warehouse_trucks/index.html},
 title = {Management of {I}nter-{W}arehouse-{L}ogistics for {S}tochastic {D}emand},
 year = {2004}
}

Last Update Nov 09, 2018 by Gregor Hendel
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