fhnw-schedule-paira200

variable_bound mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Simon Felix 20300 40000 1.4747e-04 open schedule -12.68192530688* fhnw-schedule-paira200.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 20300 20246
Constraints 40000 39946
Binaries 20100 20046
Integers 0 0
Continuous 200 200
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.000147470 0.000147997
Nonzeroes 119746 119692
Constraint Classification Properties
Original Presolved
Total 40000 39946
Empty 0 0
Free 0 0
Singleton 54 0
Aggregations 0 0
Precedence 0 0
Variable Bound 146 146
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 39800 39800
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 % 99.6345 99.6345 99.6345 99.6345
Variable % 99.2789 99.2789 99.2789 99.2789
Score 0.007185

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 -12.68193 -12.68193 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-paira200 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-paira100 open 5150 5050 0 100 10000 29873 Simon Felix schedule -14.22603538084* 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
neos-5115478-kaveri easy 3114 2976 0 138 6498 19392 Jeff Linderoth neos-pseudoapplication-54 1233.99999999096 numerics aggregations precedence mixed_binary

Reference

No bibliographic information available

Last Update Jun 24, 2019 by Gregor Hendel
generated with R Markdown
© 2019 by Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
Imprint