reblock420

binary benchmark_suitable precedence knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Andreas Bley	4200	62800	5.25743e-04	easy	reblock	-517793000	reblock420.mps.gz

Multi-period mine production scheduling instance 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	4200	4200
Constraints	62800	62800
Binaries	4200	4200
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000525743	0.000525743
Nonzeroes	138670	138670

Constraint Classification Properties
	Original	Presolved
Total	62800	62800
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	62780	62780
Variable Bound	0	0
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	20	20
Integer Knapsack	0	0
Mixed Binary	0	0
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	0.301030
Constraint %		0.0159236	0.0159236	0.0159236	0.0159236
Variable %		64.2857000	64.2857000	64.2857000	64.2857000
Score	0.000057

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	-517792519	-517792519	0	0	2e-07	-	2018-10-15	Solution found during MIPLIB2017 problem selection.
1	-517792519	-517792519	0	0	5e-07	-	2018-10-15	Solution imported from MIPLIB2010.

Similar instances in collection

The following instances are most similar to reblock420 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	Constraints	Nonz.	Submitter	Group	Objective	Tags
reblock166	easy	1660	1660	17024	39442	Andreas Bley	reblock	-600052168.91	binary benchmark_suitable precedence knapsack
mine-166-5	easy	830	830	8429	19412	Andreas Bley	mine	-566395707.9	binary benchmark_suitable precedence knapsack
reblock354	hard	3540	3540	19906	52901	Andreas Bley	reblock	-39280521.2281657	binary precedence knapsack
mine-90-10	easy	900	900	6270	15407	Andreas Bley	mine	-784302337.6332	binary benchmark_suitable precedence knapsack
reblock115	easy	1150	1150	4735	13724	Andreas Bley	reblock	-36800603.2332	benchmark binary benchmark_suitable precedence knapsack

Reference

@article{BleyBolandFrickeFroyland2009,
 author = {A. Bley and N. Boland and C. Fricke and G. Froyland},
 journal = {Computers and Operations Research},
 language = {English},
 pages = {1641--1647},
 title = {A strengthened formulation and cutting planes for the open pit
mine production scheduling problem},
 volume = {37},
 year = {2010}
}