Submitter Variables Constraints Density Status Group Objective MPS File
Simon Felix 80600 160000 3.71824e-05 open schedule -11.31802146869 fhnw-schedule-paira400.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 80600 80504
Constraints 160000 159904
Binaries 80200 80104
Integers 0 0
Continuous 400 400
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 3.71824e-05 3.72416e-05
Nonzeroes 479504 479408
Constraint Classification Properties
Original Presolved
Total 160000 159904
Empty 0 0
Free 0 0
Singleton 96 0
Aggregations 0 0
Precedence 0 0
Variable Bound 304 304
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 159600 159600
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 % 99.8099 99.8099 99.8099 99.8099
Variable % 99.6224 99.6224 99.6224 99.6224
Score 0.003769

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 -11.31802 1e-05 0 0 - 2018-10-10 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to fhnw-schedule-paira400 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-paira200 20300 20100 0 200 40000 119746 Simon Felix schedule open -12.68192530688*
fhnw-schedule-paira100 5150 5050 0 100 10000 29873 Simon Felix schedule open -14.22603538084*
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
pg5_34 2600 100 0 2500 225 7700 M. Dawande easy -14339.35345

Reference

No bibliographic information available

Last Update Nov 17, 2018 by Gregor Hendel
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