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 -14.22603538084* 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.

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.

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.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
1 -14.22604 -14.22604 0 0 0 - 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 -12.68192530688* variable_bound mixed_binary
fhnw-schedule-paira400 open 80600 80200 0 400 160000 479504 Simon Felix schedule -11.31802146869* 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 3942 benchmark benchmark_suitable precedence mixed_binary general_linear

Reference

No bibliographic information available

Last Update Okt 02, 2019 by Gregor Hendel
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