mine-90-10

binary benchmark_suitable precedence knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Andreas Bley	900	6270	2.73029e-03	easy	mine	-784302337.6332	mine-90-10.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	900	900
Constraints	6270	6270
Binaries	900	900
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00273029	0.00273029
Nonzeroes	15407	15407

Constraint Classification Properties
	Original	Presolved
Total	6270	6270
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	6250	6250
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 %		0.15949	0.15949	0.15949	0.15949
Variable %		70.00000	70.00000	70.00000	70.00000
Score	0.000478

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	-784302338	-784302338	0	0	5.00e-07	-	2018-10-12	Solution imported from MIPLIB2010.
1	-784302338	-784302338	0	0	2.75e-05	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mine-90-10 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	Constraints	Nonz.	Submitter	Group	Objective	Tags
mine-166-5	easy	830	830	8429	19412	Andreas Bley	mine	-566395707.9	binary benchmark_suitable precedence knapsack
reblock166	easy	1660	1660	17024	39442	Andreas Bley	reblock	-600052168.91	binary benchmark_suitable precedence knapsack
reblock115	easy	1150	1150	4735	13724	Andreas Bley	reblock	-36800603.2332	benchmark binary benchmark_suitable precedence knapsack
reblock420	easy	4200	4200	62800	138670	Andreas Bley	reblock	-517793000	binary benchmark_suitable precedence knapsack
reblock354	hard	3540	3540	19906	52901	Andreas Bley	reblock	-39280521.2281657	binary 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}
}