fhnw-schedule-pairb200

precedence variable_bound invariant_knapsack mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Simon Felix 40200 99554 7.45999e-05 open schedule -17.508798775* fhnw-schedule-pairb200.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 40200 21462
Constraints 99554 52925
Binaries 40000 21316
Integers 0 0
Continuous 200 146
Implicit Integers 0 0
Fixed Variables 54 0
Nonzero Density 7.45999e-05 1.31883e-04
Nonzeroes 298554 149803
Constraint Classification Properties
Original Presolved
Total 99554 52925
Empty 0 0
Free 0 0
Singleton 54 0
Aggregations 0 0
Precedence 39800 23425
Variable Bound 0 2231
Set Partitioning 0 0
Set Packing 0 0
Set Covering 19900 0
Cardinality 0 0
Invariant Knapsack 0 10585
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 39800 16684
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 % 68.4761 68.4761 68.4761 68.4761
Variable % 67.4335 67.4335 67.4335 67.4335
Score 0.223003

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 -17.5088 -17.5088 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-pairb200 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-pairb400 open 160400 160000 0 400 399096 1197100 Simon Felix schedule -28.78138445168* precedence variable_bound invariant_knapsack mixed_binary
ns1828997 open 27275 27275 0 0 81725 190670 NEOS Server Submission neos-pseudoapplication-13 20* binary precedence variable_bound cardinality invariant_knapsack
neos-4300652-rahue hard 33003 20900 0 12103 76992 183616 Jeff Linderoth neos-pseudoapplication-13 2.1416 benchmark decomposition benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality knapsack mixed_binary
neos-3283608-agout easy 26256 26224 0 32 108649 301792 Jeff Linderoth neos-pseudoapplication-84 Unbounded precedence variable_bound set_partitioning set_covering invariant_knapsack mixed_binary
neos-1337307 easy 2840 2840 0 0 5687 30799 NEOS Server Submission neos-pseudoapplication-13 -202319 binary decomposition benchmark_suitable precedence set_partitioning invariant_knapsack knapsack mixed_binary

Reference

No bibliographic information available

Last Update Apr 09, 2019 by Gregor Hendel
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