transportmoment

numerics aggregations variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
G. Gamrath	9685	9616	3.17198e-04	easy	–	-3063103721.717	transportmoment.mps.gz

Transport momentum maximization in a capacitated gas network, cycles are forbidden by pseudo pressures. Solved by Gurobi 4.6.1 (12 threads) in 30 seconds (January 2012). 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	9685	9048
Constraints	9616	9018
Binaries	2456	2254
Integers	0	0
Continuous	7229	6794
Implicit Integers	0	0
Fixed Variables	39	0
Nonzero Density	0.000317198	0.000337105
Nonzeroes	29541	27506

Constraint Classification Properties
	Original	Presolved
Total	9616	9018
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	507	603
Precedence	0	0
Variable Bound	4912	4508
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	4197	3907
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	3.217221
Constraint %		0.0117412	0.0433528	0.0234824	1.49114
Variable %		0.0216849	0.0498700	0.0325274	1.65890
Score	0.712702

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
2	-3063103722	-3063102792	1e-06	0	0.0003322	-	2018-10-11	Solution imported from MIPLIB2010.
1	-3063103549	-3063102792	0e+00	0	0.0000003	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to transportmoment 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
maxgasflow	easy	7437	2456	4981	7160	19717	G. Gamrath	–	-44565819.31886	decomposition numerics aggregations variable_bound mixed_binary
dsbmip	easy	1886	192	1694	1182	7366	MIPLIB submission pool	–	-305.19817501	aggregations precedence variable_bound set_partitioning mixed_binary
neos-5078479-escaut	easy	3471	1330	2141	3442	9062	Jeff Linderoth	neos-pseudoapplication-35	9682.338178668055	benchmark_suitable aggregations variable_bound mixed_binary
b2c1s1	easy	3872	288	3584	3904	11408	M. Vyve, Y. Pochet	c1s1	25687.9	aggregations variable_bound mixed_binary
b1c1s1	easy	3872	288	3584	3904	11408	M. Vyve, Y. Pochet	c1s1	24544.25	benchmark benchmark_suitable aggregations variable_bound mixed_binary

Reference

No bibliographic information available