mine-166-5

binary benchmark_suitable precedence knapsack

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Andreas Bley	830	8429	2.7747e-03	easy	mine	-566395707.9	mine-166-5.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	830	830
Constraints	8429	8429
Binaries	830	830
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0027747	0.0027747
Nonzeroes	19412	19412

Constraint Classification Properties
	Original	Presolved
Total	8429	8429
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	8419	8419
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	10	10
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	0.30103
Constraint %		0.0237276	0.0237276	0.0237276	0.0237276
Variable %		20.0000000	20.0000000	20.0000000	20.0000000
Score	0.00019

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	-566395708	-566395708	0	0	0.0000000	-	2018-10-11	Solution imported from MIPLIB2010.
1	-566395708	-566395708	0	0	0.0291699	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mine-166-5 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-90-10	easy	900	900	6270	15407	Andreas Bley	mine	-784302337.6332	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}
}