shs1042

aggregations variable_bound set_partitioning integer_knapsack general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
C. Helmberg	467589	133377	1.78626e-05	open	shs	11070.7015802402*	shs1042.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	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.

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
3	11070.70		7.0e-07	7e-07	0e+00	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	11072.53		0.0e+00	0e+00	0e+00	Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
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	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
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
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-04-052-052	open	221438	4546	4546	212346	129662	459205	Gerald Gamrath	supplynetworkplanning	881873004.9624411*	numerics aggregations variable_bound mixed_binary general_linear
snp-10-004-052	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}
}