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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
fhnw-schedule-paira100 5150 5050 0 100 10000 29873 Simon Felix schedule open -14.22603538084*
fhnw-schedule-paira400 80600 80200 0 400 160000 479504 Simon Felix schedule open -11.31802146869*
nh97_potential 1180 630 328 222 1916 5748 MIPLIB submission pool easy 1418
pg 2700 100 0 2600 125 5200 M. Dawande easy -8674.34260712
neos-5115478-kaveri 3114 2976 0 138 6498 19392 Jeff Linderoth neos-pseudoapplication-54 easy 1233.99999999096

Reference

No bibliographic information available

Last Update Nov 09, 2018 by Gregor Hendel
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