fhnw-binschedule0

decomposition variable_bound set_partitioning set_packing invariant_knapsack binpacking mixed_binary general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Simon Felix	319319	58085	7.45632e-05	open	fhnw-bin	16092.0*	fhnw-binschedule0.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	319319	319307
Constraints	58085	57341
Binaries	316270	316270
Integers	3048	3036
Continuous	1	1
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	7.45632e-05	7.54800e-05
Nonzeroes	1382970	1381990

Constraint Classification Properties
	Original	Presolved
Total	58085	57341
Empty	0	0
Free	0	0
Singleton	508	0
Aggregations	0	0
Precedence	0	0
Variable Bound	37300	37064
Set Partitioning	939	939
Set Packing	508	508
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	64	64
Equation Knapsack	0	0
Bin Packing	0	15724
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	15730	6
General Linear	3036	3036
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	2.758155
Constraint %		0.0575504	0.160944	0.167419	0.214506
Variable %		0.1396770	0.172952	0.168489	0.305347
Score	0.918971

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
4	16092		Mou Sun, Tao Li, Wotao Yin	2023-12-22	Results computed using an adapted CPLEX with a 2-hour limit; details in the report “MindOpt Adapter for CPLEX Benchmarking Performance Analysis” (arXiv preprint: 2312.13527, 2023).
3	16122	16122	Edward Rothberg	2021-11-19	Found with the NoRel heuristic in Gurobi 9.5.
2	16128		Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	16642	16642	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to fhnw-binschedule0 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-binschedule1	open	1141653	1137008	4644	1	772872	8611326	Simon Felix	fhnw-bin	55198.0*	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	83.9999999999994*	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