Submitter Variables Constraints Density Status Group Objective MPS File
Simon Felix 160400 399096 1.87002e-05 open schedule -28.78138445168 fhnw-schedule-pairb400.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 160400 92720
Constraints 399096 230280
Binaries 160000 92416
Integers 0 0
Continuous 400 304
Implicit Integers 0 0
Fixed Variables 96 0
Nonzero Density 1.87002e-05 3.04499e-05
Nonzeroes 1197100 650152
Constraint Classification Properties
Original Presolved
Total 399096 230280
Empty 0 0
Free 0 0
Singleton 96 0
Aggregations 0 0
Precedence 159600 101973
Variable Bound 0 10483
Set Partitioning 0 0
Set Packing 0 0
Set Covering 79800 0
Cardinality 0 0
Invariant Knapsack 0 46056
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 159600 71768
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 % 68.8345 68.8345 68.8345 68.8345
Variable % 67.7922 67.7922 67.7922 67.7922
Score 0.221701

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 -28.78138 -28.78138 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-pairb400 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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
fhnw-schedule-pairb200 40200 40000 0 200 99554 298554 Simon Felix schedule open -17.508798775*
ns1828997 27275 27275 0 0 81725 190670 NEOS Server Submission neos-pseudoapplication-13 open 20*
neos-4300652-rahue 33003 20900 0 12103 76992 183616 Jeff Linderoth neos-pseudoapplication-13 hard 2.1416
neos-3283608-agout 26256 26224 0 32 108649 301792 Jeff Linderoth neos-pseudoapplication-84 easy Unbounded
neos-3209462-rhin 56453 383 0 56070 170226 447473 Jeff Linderoth neos-pseudoapplication-98 open 12*

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
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