rmine21

binary precedence mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Daniel Espinoza	162547	1441651	1.49993e-05	open	rmine	-10618.75083837232*	rmine21.mps.gz

Instance coming from open pit mining over a cube considering multiple time periods and two knapsack constraints per period 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	162547	162547
Constraints	1441651	1441651
Binaries	162547	162547
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	1.49993e-05	1.49993e-05
Nonzeroes	3514880	3514880

Constraint Classification Properties
	Original	Presolved
Total	1441651	1441651
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	1441609	1441609
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	0	0
Integer Knapsack	0	0
Mixed Binary	42	42
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
Constraint %
Variable %
Score

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Int. Viol	Submitter	Date	Description
6	-10618.751	-10618.751	6.6e-06	Edward Rothberg	2021-06-15
5	-10617.615	-10617.615	0.0e+00	Edward Rothberg	2020-05-15	Obtained with Gurobi 9.0 using the solution improvement heuristic
4	-10615.320	-10615.320	0.0e+00	Edward Rothberg	2020-03-03	Obtained with Gurobi 9.0 using the solution improvement heuristic
3	-10594.618		0.0e+00	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	-10500.369		0.0e+00	Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	-2645.005	-2645.005	0.0e+00	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to rmine21 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
rmine25	open	326599	326599	2953849	7182744	Daniel Espinoza	rmine	-15541.66928749976*	binary precedence mixed_binary
rmine15	open	42438	42438	358395	879732	Daniel Espinoza	rmine	-5018.819990999996*	binary precedence mixed_binary
rmine13	open	23980	23980	197155	485784	Daniel Espinoza	rmine	-3495.3706624382535*	binary precedence mixed_binary
opm2-z12-s8	hard	10800	10800	319508	725377	Daniel Espinoza	opm2	-58540	binary precedence knapsack
rmine11	open	12292	12292	97389	241240	Daniel Espinoza	rmine	-2508.404144*	binary precedence mixed_binary

Reference

No bibliographic information available