shs1014

aggregations variable_bound set_partitioning set_packing invariant_knapsack integer_knapsack general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Christoph Helmberg	444474	134322	1.75215e-05	open	shs	22671.19742691877*	shs1014.mps.gz

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

Location of instance in collection

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.

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.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
2	22671.20		0	7e-07	0	Michael Winkler	2024-01-16	found with Gurobi 10.0.2 on AMD EPYC 7313P 16-Core Processor with 264075352 kB memory
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	Status	Variables	Binaries	Integers	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
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
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	6364531568.73705*	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\\\"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}
}