dg012142

aggregations precedence variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
A. Miller	2080	6310	1.12726e-03	hard	–	2300867	dg012142.mps.gz

Multilevel lot-sizing instance This instance was solved by using 256 cores of the distributed-memory supercomputer Fujitsu PRIMERGY RX200S5 (https://www.ism.ac.jp/computer_system/eng/sc/super.html). The problem was solved by ParaSCIP in approximately 43 hours. 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	2080	1964
Constraints	6310	2045
Binaries	640	600
Integers	0	0
Continuous	1440	1364
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00112726	0.00255379
Nonzeroes	14795	10257

Constraint Classification Properties
	Original	Presolved
Total	6310	2045
Empty	0	0
Free	0	0
Singleton	4213	0
Aggregations	6	6
Precedence	0	33
Variable Bound	701	661
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	1390	1345
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	2.634477
Constraint %		0.0488998	0.113152	0.0488998	7.82396
Variable %		0.0998004	0.164206	0.0998004	7.58483
Score	0.473154

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	2311267	2311267	0	0	1e-07	-	2018-10-13	Solution found during MIPLIB2017 problem selection.
1	2300867	2300867	0	0	0e+00	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to dg012142 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
bg512142	hard	792	240	552	1307	3953	A. Miller	–	184202.75	aggregations precedence variable_bound mixed_binary
tr12-30	easy	1080	360	720	750	2508	MIPLIB submission pool	–	130595.9999999999	benchmark decomposition benchmark_suitable aggregations variable_bound mixed_binary
neos-3754480-nidda	easy	253	50	203	402	1488	Jeff Linderoth	neos-pseudoapplication-107	12941.73838561778	benchmark benchmark_suitable precedence variable_bound knapsack mixed_binary
a1c1s1	easy	3648	192	3456	3312	10178	M. Vyve, Y. Pochet	c1s1	11503.444125	benchmark_suitable aggregations variable_bound mixed_binary
a2c1s1	easy	3648	192	3456	3312	10178	M. Vyve, Y. Pochet	c1s1	10889.137625	benchmark_suitable aggregations variable_bound mixed_binary

Reference

@article{AkartunaliMiller2009,
 author = {Akartunal{\i}, K. and A. J. Miller},
 journal = {European Journal of Operational Research},
 pages = {396-411},
 title = {A Heuristic Approach for Big Bucket Multi-Level Production Planning
Problems},
 volume = {193},
 year = {2009}
}

@article{FischettiGloverLodi2005,
 author = {M. Fischetti and F. Glover and A. Lodi},
 journal = {Mathematical Programming},
 pages = {91--104},
 title = {The feasibility pump},
 volume = {104},
 year = {2005}
}

@article{Stadtler2003,
 author = {Stadtler, Hartmut},
 journal = {Operations Research},
 number = {3},
 pages = {487-502},
 title = {Multilevel Lot Sizing with Setup Times and Multiple Constrained Resources: Internally Rolling Schedules with Lot-Sizing Windows},
 volume = {51},
 year = {2003}
}