n3700

decomposition variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
J. Aronson	10000	5150	3.8835e-04	open	n37	1218974.9999999998*	n3700.mps.gz

Fixed charge transportation problem 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	10000	10000
Constraints	5150	5150
Binaries	5000	5000
Integers	0	0
Continuous	5000	5000
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00038835	0.00038835
Nonzeroes	20000	20000

Constraint Classification Properties
	Original	Presolved
Total	5150	5150
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	5000	5000
Set Partitioning	0	0
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	0	0
Mixed Binary	150	150
General Linear	0	0
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	2.004321
Constraint %		0.990291	0.990291	0.990291	0.990291
Variable %		1.000000	1.000000	1.000000	1.000000
Score	0.980388

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	Submitter	Date	Description
4	1218975	1218975	0.0e+00	Michael Winkler	2022-04-22	Found with Gurobi 9.5.1
3	1227629	1227629	0.0e+00	Edward Rothberg	2020-04-22	Obtained with Gurobi 9.0 using the solution improvement heuristic
2	1241241		6.7e-06	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
1	1245141	1245141	0.0e+00	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to n3700 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
n370b	open	10000	5000	5000	5150	20000	J. Aronson	n37	1220708.0*	decomposition variable_bound mixed_binary
n3707	open	10000	5000	5000	5150	20000	J. Aronson	n37	1186691.0*	decomposition variable_bound mixed_binary
h50x2450	easy	4900	2450	2450	2549	12152	MIPLIB submission pool	fixed-cost-network-flow	32906.880834	decomposition benchmark_suitable variable_bound set_partitioning mixed_binary
n3705	open	10000	5000	5000	5150	20000	J. Aronson	n37	1212657.0*	decomposition variable_bound mixed_binary
n3709	open	10000	5000	5000	5150	20000	J. Aronson	n37	1206490.0*	decomposition variable_bound mixed_binary

Reference

@article{SunAronsonMcKeownDrinka1998,
 author = {Sun, M. and Aronson, J. E. and McKeown, P. G. and Drinka, D. A.},
 journal = {European Journal of Operational Research},
 language = {English},
 pages = {441-456},
 title = {A tabu search heuristic procedure for the fixed charge
transportation problem},
 volume = {106},
 year = {1998}
}