piperout-d20

decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack binpacking knapsack integer_knapsack mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Gleb Belov	11961	15562	1.02567e-03	easy	piperout	29948	piperout-d20.mps.gz

Pipe routing with flexibility constraints. Instances with _GCM in the name are simple routing

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	11961	10637
Constraints	15562	14139
Binaries	11788	10481
Integers	149	133
Continuous	24	23
Implicit Integers	0	6
Fixed Variables	19	0
Nonzero Density	0.00102567	0.00104929
Nonzeroes	190915	157810

Constraint Classification Properties
	Original	Presolved
Total	15562	14139
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	247	249
Precedence	6343	6162
Variable Bound	112	116
Set Partitioning	92	3791
Set Packing	19	18
Set Covering	0	1398
Cardinality	4219	0
Invariant Knapsack	4214	2093
Equation Knapsack	0	0
Bin Packing	6	6
Knapsack	18	6
Integer Knapsack	4	4
Mixed Binary	12	22
General Linear	276	274
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	1.579784
Constraint %		0.0071100	2.38537	2.90689	9.6091
Variable %		0.0187652	2.68673	3.15256	11.2404
Score	0.843210

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	29948	29948	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to piperout-d20 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
piperout-d27	easy	13104	12931	149	24	17470	224457	Gleb Belov	piperout	8124	decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack binpacking knapsack integer_knapsack mixed_binary general_linear
piperout-27	easy	11659	11514	121	24	18442	54662	Gleb Belov	piperout	8123.999999999973	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack equation_knapsack integer_knapsack mixed_binary general_linear
piperout-08	easy	10399	10245	130	24	14589	44959	Gleb Belov	piperout	125054.9999999999	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack equation_knapsack integer_knapsack mixed_binary general_linear
piperout-03	easy	9526	9373	129	24	12246	39067	Gleb Belov	piperout	74981.99999999999	benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing set_covering invariant_knapsack equation_knapsack integer_knapsack mixed_binary general_linear
satellites2-40	easy	35378	34324	0	1054	20916	283668	He Renjie	satellites	-19	benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning set_packing cardinality invariant_knapsack knapsack mixed_binary

Reference

@Inbook{Belov2017,
author="Belov, Gleb
and Garcia de la BAnda, Maria
and Czauderna, Tobias
and Wybrow, Michael
and Wallace, Mark",
editor="Rueher, Michel",
title="An Optimization Model for 3D Pipe Routing with Flexibility Constraints",
bookTitle="Principles and Practice of Constraint Programming: 23rd International Conference, CP 2017, Proceedings",
year="2017",
publisher="Springer International Publishing",
}