On the complexity of Nurse Rostering problems

被引:3
作者
den Hartog, Steven J. M.
Hoogeveen, Han [1 ]
van der Zanden, Tom C. [2 ,3 ]
机构
[1] Univ Utrecht, Dept Informat & Comp Sci, Utrecht, Netherlands
[2] Maastricht Univ, Dept Data Analyt & Digitalisat, Maastricht, Netherlands
[3] Dept Data Analyt & Digitalisat, Tongersestr 53, NL-6211 LM Maastricht, Netherlands
关键词
Scheduling; Complexity; NP-completeness; Nurse scheduling;
D O I
10.1016/j.orl.2023.07.004
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In Nurse Rostering problems the goal is to assign nurses to shifts, subject to a number of constraints. In this paper we consider the computational complexity of such problems. We review the major complexity results obtained so far and show that a problem with coverage constraints, day off requests, and forbidden sequences of shifts of length 2 is NP-hard in the strong sense, even if there are only three work shifts and a day off shift involved. & COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
引用
收藏
页码:483 / 487
页数:5
相关论文
共 19 条
[1]   Personnel scheduling: Models and complexity [J].
Brucker, Peter ;
Qu, Rong ;
Burke, Edmund .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2011, 210 (03) :467-473
[2]   A shift sequence based approach for nurse scheduling and a new benchmark dataset [J].
Brucker, Peter ;
Burke, Edmund K. ;
Curtois, Tim ;
Qu, Rong ;
Vanden Berghe, Greet .
JOURNAL OF HEURISTICS, 2010, 16 (04) :559-573
[3]   Bounded Flexibility in Days-On and Days-Off Scheduling [J].
Brunner, Jens O. ;
Bard, Jonathan F. ;
Koehler, Jan M. .
NAVAL RESEARCH LOGISTICS, 2013, 60 (08) :678-701
[4]   The state of the art of nurse rostering [J].
Burke, EK ;
De Causmaecker, P ;
Vanden Berghe, G ;
Van Landeghem, H .
JOURNAL OF SCHEDULING, 2004, 7 (06) :441-499
[5]   A categorisation of nurse rostering problems [J].
De Causmaecker, Patrick ;
Berghe, Greet Vanden .
JOURNAL OF SCHEDULING, 2011, 14 (01) :3-16
[6]  
den Hartog S.J., 2016, THESIS UTRECHT U NET
[7]   AN INTRODUCTION TO TIMETABLING [J].
DEWERRA, D .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1985, 19 (02) :151-162
[8]  
Even S., 1976, SIAM Journal on Computing, V5, P691, DOI 10.1137/0205048
[9]  
Graham R. L., 1979, Discrete Optimisation, P287
[10]   The first international nurse rostering competition 2010 [J].
Haspeslagh, Stefaan ;
De Causmaecker, Patrick ;
Schaerf, Andrea ;
Stolevik, Martin .
ANNALS OF OPERATIONS RESEARCH, 2014, 218 (01) :221-236