shs1023

aggregations variable_bound set_partitioning set_packing invariant_knapsack integer_knapsack general_linear

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.

Location of instance in collection

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.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	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	Status	Variables	Binaries	Integers	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
shs1014	open	444474	1296	440754	2424	134322	1046077	Christoph Helmberg	shs	22671.19742691877*	aggregations variable_bound set_partitioning set_packing invariant_knapsack integer_knapsack general_linear
shs1042	open	467589	864	464295	2430	133377	1114011	C. Helmberg	shs	11070.7015802402*	aggregations variable_bound set_partitioning integer_knapsack general_linear
snp-04-052-052	open	221438	4546	4546	212346	129662	459205	Gerald Gamrath	supplynetworkplanning	881873004.9624411*	numerics aggregations variable_bound mixed_binary general_linear
snp-10-052-052	open	549021	11059	11059	526903	320836	1138755	Gerald Gamrath	supplynetworkplanning	6059865443.559938*	numerics aggregations variable_bound mixed_binary general_linear
snp-10-004-052	open	538777	815	815	537147	300348	1097779	Gerald Gamrath	supplynetworkplanning	5906642768.072535*	numerics aggregations variable_bound mixed_binary general_linear

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}
}