Submitter Variables Constraints Density Status Group Objective MPS File
Haroldo Gambini Santos 29667 8668 2.41812e-03 easy nursescheduling 237 nursesched-medium04.mps.gz

Nurse Scheduling Problems from the First International Nurse Rostering Competition - INRC 2010

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 29667 29636
Constraints 8668 8637
Binaries 29613 29582
Integers 54 54
Continuous 0 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00241812 0.00242922
Nonzeroes 621829 621798
Constraint Classification Properties
Original Presolved
Total 8668 8637
Empty 0 0
Free 0 0
Singleton 31 0
Aggregations 0 0
Precedence 0 0
Variable Bound 0 0
Set Partitioning 1736 1860
Set Packing 4371 4619
Set Covering 1000 8
Cardinality 1104 980
Invariant Knapsack 124 1116
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 248 0
General Linear 54 54
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 1.505150
Constraint % 2.85979 2.85979 2.85979 2.85979
Variable % 3.22581 3.22581 3.22581 3.22581
Score 0.857937

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
1 237 237 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to nursesched-medium04 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
nursesched-sprint02 10250 10230 20 0 3522 204000 Haroldo Gambini Santos nursescheduling easy 58.0
neos-498623 9861 8500 0 1361 2047 148434 NEOS Server Submission neos-pseudoapplication-5 easy 16.6
nursesched-sprint-hidden09 11650 11630 20 0 4872 208050 Haroldo Gambini Santos nursescheduling easy 338.0
neos-1223462 5495 5180 315 0 5890 47040 NEOS Server Submission neos-pseudoapplication-12 easy -751.0
neos-850681 2594 2479 16 99 2067 37113 NEOS Server Submission neos-pseudoapplication-12 easy 2472.0

Reference

@Article{Santos2016,
author="Santos, Haroldo G.
and Toffolo, T{\'u}lio A. M.
and Gomes, Rafael A. M.
and Ribas, Sabir",
title="Integer programming techniques for the nurse rostering problem",
journal="Annals of Operations Research",
year="2016",
volume="239",
number="1",
pages="225--251",
issn="1572-9338",
doi="10.1007/s10479-014-1594-6",
url="http://dx.doi.org/10.1007/s10479-014-1594-6"
}

Last Update Nov 19, 2018 by Gregor Hendel
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