fhnw-binpack4-48

benchmark feasibility benchmark_suitable precedence variable_bound invariant_knapsack mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Simon Felix	3710	4480	1.04026e-03	easy	binpack	0	fhnw-binpack4-48.mps.gz

Feasability-only 3D bin packing with additional constraints. Solved with COPT 7.0 using up to 12 threads in less than 30 minutes.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	3710	3330
Constraints	4480	4480
Binaries	3605	3225
Integers	0	0
Continuous	105	105
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00104026	0.00110803
Nonzeroes	17290	16530

Constraint Classification Properties
	Original	Presolved
Total	4480	4480
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	245	245
Variable Bound	70	70
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	595	595
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	3570	3570
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	0.4771212
Constraint %		26.5625	43.3594	43.3594	60.1562
Variable %		33.0189	44.8787	44.8787	56.7385
Score	0.4381630

Best Known Solution(s)

No solution available for fhnw-binpack4-48 .

Similar instances in collection

The following instances are most similar to fhnw-binpack4-48 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	Integers	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
fhnw-binpack4-77	open	3924	3816	0	108	4922	17726	Simon Felix	binpack		no_solution feasibility precedence variable_bound invariant_knapsack mixed_binary
fhnw-binpack4-58	open	7550	7400	0	150	9900	35750	Simon Felix	binpack		no_solution feasibility precedence variable_bound invariant_knapsack mixed_binary
fhnw-binpack4-4	easy	520	481	0	39	620	2332	Simon Felix	binpack	Infeasible	benchmark infeasible feasibility benchmark_suitable precedence variable_bound invariant_knapsack mixed_binary
fhnw-binpack4-18	easy	520	481	0	39	650	2392	Simon Felix	binpack	Infeasible	infeasible feasibility benchmark_suitable invariant_knapsack mixed_binary
neos-3211096-shag	hard	4379	4289	90	0	10187	31705	Jeff Linderoth	neos-pseudoapplication-38	Infeasible	infeasible feasibility aggregations precedence variable_bound set_covering invariant_knapsack binpacking mixed_binary general_linear

Reference

No bibliographic information available