fhnw-binschedule1

variable_bound set_partitioning set_packing invariant_knapsack binpacking mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Simon Felix	1141653	772872	9.75952e-06	open	fhnw-bin	55198.0*	fhnw-binschedule1.mps.gz

Scheduling/assignment for an industrial production pipeline

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	1141653	1141641
Constraints	772872	769966
Binaries	1137008	1137008
Integers	4644	4632
Continuous	1	1
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	9.75952e-06	9.79072e-06
Nonzeroes	8611330	8606290

Constraint Classification Properties
	Original	Presolved
Total	772872	769966
Empty	0	0
Free	0	0
Singleton	774	0
Aggregations	0	0
Precedence	0	0
Variable Bound	517594	515462
Set Partitioning	2152	2152
Set Packing	774	774
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	140	140
Equation Knapsack	0	0
Bin Packing	0	246800
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	246806	6
General Linear	4632	4632
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	Submitter	Date	Description
3	55198	55198	Edward Rothberg	2021-11-18	Found with the NoRel heuristic in Gurobi 9.5.
2	55224		Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	59290	59290	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to fhnw-binschedule1 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-binschedule0	open	319319	316270	3048	1	58085	1382972	Simon Felix	fhnw-bin	16122.0*	decomposition variable_bound set_partitioning set_packing invariant_knapsack binpacking mixed_binary general_linear
fhnw-binschedule2	open	30973	30504	468	1	6503	134640	Simon Felix	fhnw-bin	2428*	decomposition variable_bound set_partitioning set_packing invariant_knapsack binpacking mixed_binary general_linear
seqsolve1	open	207665	123834	82835	996	242243	1027681	Irv Lustig	seqsolve	4277.0*	aggregations variable_bound set_packing invariant_knapsack binpacking knapsack integer_knapsack general_linear
seqsolve2short4288	open	207665	123834	82835	996	242244	1028179	Irv Lustig	seqsolve		no_solution aggregations variable_bound set_packing invariant_knapsack binpacking knapsack integer_knapsack mixed_binary general_linear
neos-5149806-wieprz	easy	33753	33750	3	0	65380	502488	Hans Mittelmann	neos-pseudoapplication-15	21	benchmark_suitable precedence variable_bound set_packing set_covering binpacking

Reference

No bibliographic information available