fhnw-schedule-paira100

variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Simon Felix	5150	10000	5.80058e-04	open	schedule	-15.1131226682367*	fhnw-schedule-paira100.mps.gz

Continuous-time project scheduling and selection, inspired by an industry use-case. Each project has a value, the sum should be maximized. Each project has a deadline, and an earliest start date. Three formulations of the same problem (“Pair A”, “Pair B” and “Slot”) - we expect “Pair B” to be the best formulation.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	5150	5123
Constraints	10000	9973
Binaries	5050	5023
Integers	0	0
Continuous	100	100
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.000580058	0.000584166
Nonzeroes	29873	29846

Constraint Classification Properties
	Original	Presolved
Total	10000	9973
Empty	0	0
Free	0	0
Singleton	27	0
Aggregations	0	0
Precedence	0	0
Variable Bound	73	73
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	9900	9900
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	0.301030
Constraint %		99.2680	99.2680	99.2680	99.2680
Variable %		98.5751	98.5751	98.5751	98.5751
Score	0.014145

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	Int. Viol	Submitter	Date	Description
3	-15.11312		8.1e-06	Edward Rothberg	2019-12-13	Obtained with Gurobi 9.0
2	-14.50791		0.0e+00	Robert Ashford and Alkis Vazacopoulus	2019-12-18	Found using ODH\|CPlex
1	-14.22604	-14.22604	0.0e+00	-	2018-10-10	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to fhnw-schedule-paira100 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-schedule-paira200	open	20300	20100	0	200	40000	119746	Simon Felix	schedule	-19.157058350349338*	variable_bound mixed_binary
fhnw-schedule-paira400	open	80600	80200	0	400	160000	479504	Simon Felix	schedule	-35.4988125672093*	variable_bound mixed_binary
nh97_potential	easy	1180	630	328	222	1916	5748	MIPLIB submission pool	–	1418	benchmark_suitable mixed_binary general_linear
pg	easy	2700	100	0	2600	125	5200	M. Dawande	–	-8674.34260712	benchmark decomposition benchmark_suitable mixed_binary
ic97_potential	easy	728	450	73	205	1046	3138	L. Peeters	–	3941.99993090225	benchmark benchmark_suitable precedence mixed_binary general_linear

Reference

No bibliographic information available