gmut-75-50

variable_bound set_packing mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Nora Konnyu	68865	2565	3.23528e-03	hard	gmu	-14180699.047	gmut-75-50.mps.gz

Timber harvest scheduling model. Solved by ParaXpress in a 12288 core supercomputer run on HLRN III. These are harvest scheduling models of hypothetical forest planning problems where net timber revenues are maximized over a planning horizon subject to four sets of constraints: 1. Each management unit can be harvested only once over the planning horizon, 2. Volume harvested in one planning period should not be less or more than some portion of that in the preceding period, 3. Area-weighted average age of the forest by the end of the plan should notbe less than a certain target age. 4. Clearcut size in any planning period has to be below a specific limit. Decision variable are management units and generalized management units (group of management units with a combined area not exceeding the limit on clearcut size) and can be either fully harvested or left untouched in any planning period, therefore there is a binary restriction on the decision variables. 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	68865	35915
Constraints	2565	2565
Binaries	68859	35909
Integers	0	0
Continuous	6	6
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00323528	0.00620076
Nonzeroes	571475	571226

Constraint Classification Properties
	Original	Presolved
Total	2565	2565
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	18	18
Set Partitioning	0	0
Set Packing	2540	2540
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	7	7
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	0.7781512
Constraint %		0.0779727	0.140351	0.0779727	0.3898640
Variable %		0.0055700	0.007800	0.0055700	0.0167061
Score	0.0070170

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
1	-14180418	-14180418	0	0	0	-	2018-10-12	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gmut-75-50 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
gmut-76-50	open	68865	68859	6	2586	470045	Nora Konnyu	gmu	-14171893.7789212*	variable_bound set_packing mixed_binary
gmut-76-40	open	24338	24332	6	2586	153017	Nora Konnyu	gmu	-14169441.78*	variable_bound set_packing mixed_binary
gmu-35-50	easy	1919	1914	5	435	8643	Nora Konnyu	gmu	-2607958.33	benchmark benchmark_suitable variable_bound set_packing mixed_binary
gmu-35-40	easy	1205	1200	5	424	4843	Nora Konnyu	gmu	-2406733.3688	benchmark benchmark_suitable variable_bound set_packing mixed_binary
supportcase31	open	488882	488760	122	26195	1833861	Domenico Salvagnin	–	-3720089.081*	decomposition numerics precedence set_packing invariant_knapsack knapsack mixed_binary

Reference

No bibliographic information available