set3-10

precedence variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Kerem Akartunali	4019	3747	9.12864e-04	hard	set3	185179.043049708	set3-10.mps.gz

Multi-item lot-sizing with backlogging. Solved by SCIP 3.1.1 parallelized by UG 0.7.5 linked to CPLEX 12.6 as an LP solver on HLRN III (https://www.hlrn.de/supercomputer/hlrn-iii-system). Due to time limit restrictions, five repeated runs, each starting from the checkpointing file of the previous run, were done. Each run had a time limit of 12 hours while using 6144 (runs 1, 3, and 4) or 3072 cores (run 2 and 5). 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	4019	3347
Constraints	3747	3390
Binaries	1424	752
Integers	0	0
Continuous	2595	2595
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000912864	0.001093130
Nonzeroes	13747	12403

Constraint Classification Properties
	Original	Presolved
Total	3747	3390
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	576	891
Variable Bound	654	612
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	2517	1887
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	1.230449
Constraint %		0.0294985	4.05973	3.95280	9.58702
Variable %		0.0746454	3.23619	3.11023	8.16123
Score	0.624521

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	185179	185179	0	0	0	-	2018-10-12	Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to set3-10 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
set3-15	hard	4019	1424	2595	3747	13747	Kerem Akartunali	set3	124886	precedence variable_bound mixed_binary
set3-09	open	4019	1424	2595	3747	13747	Kerem Akartunali	set3	176497.15*	precedence variable_bound mixed_binary
set3-16	open	4019	1424	2595	3747	13747	Kerem Akartunali	set3	134040.4097522878*	precedence variable_bound mixed_binary
set3-20	hard	4019	1424	2595	3747	13747	Kerem Akartunali	set3	159462.572721458	precedence variable_bound mixed_binary
neos-5041822-cockle	open	227668	149313	78355	546733	1362468	Jeff Linderoth	neos-pseudoapplication-25	5724245.704467608*	aggregations precedence variable_bound set_packing 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}
}

@techreport{AkartunaliMiller2010,
 author = {Akartunal{\i}, K. and A. J. Miller},
 institution = {Optimization Online},
 number = {http://www.optimization-online.org/DB_HTML/2007/05/1668.html},
 title = {Computational Analysis of Lower Bounds for Big Bucket Production
Planning Problems},
 year = {2007}
}

@misc{multilsb,
 key = {zzz multilsb},
 note = {http://personal.strath.ac.uk/kerem.akartunali/research/multi-lsb/},
 title = {{MULTILSB}: {M}ulti-{I}tem {L}ot-{S}izing with {B}acklogging},
 year = {2009}
}