rmine13

binary precedence mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Daniel Espinoza	23980	197155	1.02751e-04	open	rmine	-3495.3706624382535*	rmine13.mps.gz

Set of instances comming from open pit minning over a cube and several time periods and two knapsack constraints per period Imported from the MIPLIB2010 submissions.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	23980	23980
Constraints	197155	197155
Binaries	23980	23980
Integers	0	0
Continuous	0	0
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000102751	0.000102751
Nonzeroes	485784	485784

Constraint Classification Properties
	Original	Presolved
Total	197155	197155
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	197129	197129
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	26	26
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 %		100	100	100	100
Variable %		100	100	100	100
Score	0.00000

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	-3495.371	-3495.371	5.9e-06	0	0	Edward Rothberg	2020-11-25	Found with Gurobi 9.1 NoRel heuristics
1	-3494.715	-3494.715	0.0e+00	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to rmine13 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
rmine15	open	42438	42438	358395	879732	Daniel Espinoza	rmine	-5018.819990999996*	binary precedence mixed_binary
rmine11	open	12292	12292	97389	241240	Daniel Espinoza	rmine	-2508.404144*	binary precedence mixed_binary
opm2-z10-s4	hard	6250	6250	160633	371240	Daniel Espinoza	opm2	-33269	benchmark binary benchmark_suitable precedence knapsack
opm2-z12-s8	hard	10800	10800	319508	725377	Daniel Espinoza	opm2	-58540	binary precedence knapsack
opm2-z8-s0	easy	3200	3200	63608	152793	Daniel Espinoza	opm2	-15775	binary benchmark_suitable precedence knapsack

Reference

No bibliographic information available