scholarly journals First-order linear programming in a column generation-based heuristic approach to the nurse rostering problem

2020 ◽  
Vol 120 ◽  
pp. 104945 ◽  
Author(s):  
Petter Strandmark ◽  
Yi Qu ◽  
Timothy Curtois
Mathematics ◽  
2021 ◽  
Vol 9 (7) ◽  
pp. 728
Author(s):  
Yasunori Maekawa ◽  
Yoshihiro Ueda

In this paper, we study the dissipative structure of first-order linear symmetric hyperbolic system with general relaxation and provide the algebraic characterization for the uniform dissipativity up to order 1. Our result extends the classical Shizuta–Kawashima condition for the case of symmetric relaxation, with a full generality and optimality.


2017 ◽  
Vol 25 (3) ◽  
pp. 844-857 ◽  
Author(s):  
Robert G Drake

Following a decade of dissemination, particularly within the British National Health Service, electronic rostering systems were recently endorsed within the Carter Review. However, electronic rostering necessitates the formal codification of the roster process. This research investigates that codification through the lens of the ‘Roster Policy’, a formal document specifying the rules and procedures used to prepare staff rosters. This study is based upon analysis of 27 publicly available policies, each approved within a 4-year period from January 2010 to July 2014. This research finds that, at an executive level, codified knowledge is used as a proxy for the common language and experience otherwise acquired on a ward through everyday interaction, while at ward level, the nurse rostering problem continues to resist all efforts at simplification. Ultimately, it is imperative that executives recognise that electronic rostering is not a silver bullet and that information from such systems requires careful interpretation and circumspection.


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