Study On Nurse Staffing And Rostering Problem In A Hospital

Hospital nurses are the basis of the hospital daily operation,and the high efficiency and effective management of the personnel are very important in the hospital environment.The researchers have been paying attention to the staffing and rostering problem of the hospital nurse.Scientific and rational nurse staffing and rostering are of great importance to hospital nursing management,and also guarantee the effective management of hospital organizations.This thesis conducts nurse staffing and rostering study,which can meet the needs of hospital medical service and nurses through reasonable staffing and rostering,improve the job satisfaction of nurses and hospital operation efficiency,and alleviate the problems caused by the shortage of nurses.This thesis mainly studies the following contents:(1)The nurse staffing is directly related to the health service requirements of the hospital.Therefore,the nurse staffing based on the health service demand forecast can truly meet the medical service needs of the hospital for a period of time and realize the efficient utilization of the nurses.A weighted Markov prediction method is used to predict the daily admission number and the daily discharged number of patients,and then the actual number of bed days is obtained in a certain hospital area in the future.Therefore,nurses' configuration can be obtained,combined with the theory of medical human resources allocation and rational allocation of nurse structure.(2)It is necessary to determine the appropriate shift pattern before the nurse rostering study.Considering the factors such as labor laws and regulations and nurse's level,this thesis establishes mathematical models of nurse rostering in the three-shift pattern and two-shift pattern respectively,aiming at minimizing the salary cost of the hospital nurses.The two shift patterns are compared from the aspects of number of shifts,human resource cost,workload,rostering fairness,and shift work by using a designed example based on the same total nursing workload.From the perspective of hospital cost and rostering fairness,this thesis choose the two-shift pattern.A nurse rostering optimization model based on the two-shift pattern is set up considering nurses'salary cost,the preference of nurses,work shift and the fairness of weekend shift assignment,from the point of view of the hospital and nurses.(3)The optimization model of nurse rostering consists of three objective functions,and the solution of this problem belongs to the multi-objective optimization category.Taking into account that the degree of preference of the decision makers for the three objectives can't be determined in advance,the multi-objective problem can't be solved by using the method of weighted summation as a single-objective problem.Therefore,the multi-objective particle swarm algorithm(MPSO)based on Pareto dominance and crowding distance is selected to solve the multi-objective nurse rostering problem.And a set of non-inferior solutions is obtained,which are multiple alternative nurse rostering schemes.(4)Taking several departments of internal medicine in a Grade 2A hospital in Xinjiang as a case study,this thesis collects the data related to patients and nurses,and the schemes of nurses' configuration and rostering are obtained for several departments of internal medicine in the next week by using the method of nurse staffing and rostering proposed in this thesis.Then compared with other methods and the basic model from the perspective of the performance of the algorithm and the results of the solution,it verifies the effectiveness of the algorithm and the solution.Finally,this thesis analyzes the multiple feasible schemes of nurses' rostering,and proposes suggestions for hospital decision makers to choose the appropriate rostering scheme from non-inferior solutions,combined with the degree of preference of decision makers for different goals.