A DECOMPOSITION, CONSTRUCTION AND POST- PROCESSING APPROACH FOR NURSE ROSTERING

This paper presents our work on decomposing a specific nurse rostering problem by cyclically assigning blocks of shifts, which are designed considering both hard and soft constraints, to groups of nurses. The rest of the shifts are then assigned to the nurses to construct a schedule based on the one cyclically generated by blocks. The schedules obtained by decomposition and construction can be further improved by a variable neighborhood search. Significant results are obtained and compared with a genetic algorithm and a variable neighborhood search approach on a problem that was presented to us by our collaborator, ORTEC bv, The Netherlands. We believe that the approach has the potential to be further extended to solve a wider range of nurse rostering problems.

[1]  Gerhard F. Post,et al.  Harmonious personnel scheduling , 2006 .

[2]  Jonathan F. Bard,et al.  Preference scheduling for nurses using column generation , 2005, Eur. J. Oper. Res..

[3]  Nottingham Ng,et al.  A Hybrid Heuristic Ordering and Variable Neighbourhood Search for the Nurse Rostering Problem , 2005 .

[4]  Hendrik Van Landeghem,et al.  The State of the Art of Nurse Rostering , 2004, J. Sched..

[5]  Andreas T. Ernst,et al.  Staff scheduling and rostering: A review of applications, methods and models , 2004, Eur. J. Oper. Res..

[6]  Uwe Aickelin,et al.  An Indirect Genetic Algorithm for a Nurse Scheduling Problem , 2004, Comput. Oper. Res..

[7]  Uwe Aickelin,et al.  Building Better Nurse Scheduling Algorithms , 2004, Ann. Oper. Res..

[8]  Peter I. Cowling,et al.  A Memetic Approach to the Nurse Rostering Problem , 2001, Applied Intelligence.

[9]  E. Burke,et al.  Variable neighborhood search for nurse rostering problems , 2004 .

[10]  Sanja Petrovic,et al.  Determining feature weights using a genetic algorithm in a case-based reasoning approach to personnel rostering , 2004 .

[11]  Andrew Lim,et al.  Nurse rostering problems - a bibliographic survey , 2003, Eur. J. Oper. Res..

[12]  Atsuko Ikegami,et al.  A subproblem-centric model and approach to the nurse scheduling problem , 2003, Math. Program..

[13]  Patrick De Causmaecker,et al.  Relaxation of Coverage Constraints in Hospital Personnel Rostering , 2002, PATAT.

[14]  Efthymios Housos,et al.  Hybrid optimization techniques for the workshift and rest assignment of nursing personnel , 2000, Artif. Intell. Medicine.

[15]  Harald Meyer auf'm Hofe.  Solving Rostering Tasks as Constraint Optimization , 2000, PATAT.

[16]  Slim Abdennadher,et al.  Nurse Scheduling using Constraint Logic Programming , 1999, AAAI/IAAI.

[17]  Edmund K. Burke,et al.  A multistage evolutionary algorithm for the timetable problem , 1999, IEEE Trans. Evol. Comput..

[18]  Edmund K. Burke,et al.  A Hybrid Tabu Search Algorithm for the Nurse Rostering Problem , 1998, SEAL.

[19]  Steve Scott,et al.  Case-Bases Incorporating Scheduling Constraint Dimensions - Experiences in Nurse Rostering , 1998, EWCBR.

[20]  Toshihide Ibaraki,et al.  A tabu search approach to the constraint satisfaction problem as a general problem solver , 1998, Eur. J. Oper. Res..

[21]  Kathryn A. Dowsland,et al.  Nurse scheduling with tabu search and strategic oscillation , 1998, Eur. J. Oper. Res..

[22]  Brigitte Jaumard,et al.  A generalized linear programming model for nurse scheduling , 1996, Eur. J. Oper. Res..

[23]  Nicholas Beaumont,et al.  Scheduling staff using mixed integer programming , 1997 .

[24]  Jacques A. Ferland,et al.  A Multi-objective Approach to Nurse Scheduling with both Hard and Soft Constraints , 1996 .

[25]  J G Chen,et al.  Hybrid expert-system approach to nurse scheduling. , 1993, Computers in nursing.

[26]  H B Wolfe,et al.  Knowledge-based schedule formulation and maintenance under uncertainty. , 1991, Journal of the Society for Health Systems.

[27]  John Field,et al.  Personnel scheduling with flexshift models , 1985 .

[28]  Gustave J. Rath,et al.  Nurse Scheduling Using Mathematical Programming , 1976, Oper. Res..

[29]  D. Michael Warner,et al.  Scheduling Nursing Personnel According to Nursing Preference: A Mathematical Programming Approach , 1976, Oper. Res..

[30]  Howell Jp,et al.  Cyclical scheduling of nursing personnel. , 1966 .