physiciansched5-3

decomposition benchmark_suitable precedence variable_bound set_packing set_covering invariant_knapsack binpacking mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Pelin Damci-Kurt 14488 31925 3.38093e-04 easy physiciansched 21100 physiciansched5-3.mps.gz

Physician scheduling problem for hospitalist, radiology and kidney specialist groups.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 14488 9488
Constraints 31925 18650
Binaries 11501 6870
Integers 0 0
Continuous 2987 2618
Implicit Integers 0 0
Fixed Variables 365 0
Nonzero Density 0.000338093 0.000496465
Nonzeroes 156378 87850
Constraint Classification Properties
Original Presolved
Total 31925 18650
Empty 393 0
Free 0 0
Singleton 363 0
Aggregations 0 0
Precedence 6457 5688
Variable Bound 16081 7677
Set Partitioning 0 0
Set Packing 742 727
Set Covering 1681 1336
Cardinality 0 0
Invariant Knapsack 1314 786
Equation Knapsack 0 0
Bin Packing 1200 681
Knapsack 342 0
Integer Knapsack 0 0
Mixed Binary 3352 1755
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 1.568202
Constraint % 0.0053600 2.51638 0.107239 25.0617
Variable % 0.0187758 1.98919 0.197146 18.7101
Score 0.784563

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 21100 21100 0 0 0 - 2018-10-11 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to physiciansched5-3 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
physiciansched3-3 easy 79555 72141 0 7414 266227 1062479 Pelin Damci-Kurt physiciansched 2623271.326667 benchmark decomposition benchmark_suitable precedence variable_bound set_packing set_covering invariant_knapsack binpacking knapsack mixed_binary
physiciansched3-4 easy 74119 65900 0 8219 239780 908634 Pelin Damci-Kurt physiciansched 1480386.746666666 aggregations precedence variable_bound set_packing set_covering invariant_knapsack binpacking knapsack mixed_binary general_linear
neos-5193246-nerang easy 14546 9792 0 4754 42256 175794 Jeff Linderoth neos-pseudoapplication-32 0.03821976217279999 benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack mixed_binary
neos-5195221-niemur easy 14546 9792 0 4754 42256 176586 Jeff Linderoth neos-pseudoapplication-32 0.0038354326 benchmark benchmark_suitable aggregations precedence variable_bound set_partitioning cardinality invariant_knapsack knapsack mixed_binary
neos-3696678-lyvia easy 7683 7516 167 0 9004 30452 Jeff Linderoth neos-pseudoapplication-56 83.74999995899876 decomposition variable_bound set_covering cardinality invariant_knapsack mixed_binary general_linear

Reference

No bibliographic information available

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