人员安排问题的讨论

Discussion of staffing issuesAbstract This article discusses the optimization of staffing issues with the knowledge ofoperations research and optimization.According to the conditions given in the title,it is known that the company has fivedevelopment projects and five scientists bid for each project according to their own level of interestIn order to solve the problem of optimizing personnel arrangement in the case where the interestof each scientist is different,we make the following assumptions.First consider that when thenumber of scientists and the number of projects are the same,write the coefficient matrix of theindependent variable problem and transform the coefficient matrix by the Hungarian method toobtain the optimal solution.Consider again that when the number of projects remains the sameand the number of scientists decreases,the impact on the allocation of personnel can be obtainedby adding virtual scientist bids.Then consider when a scientist can lead multiple projects.Theoptimal solution is obtained by adding the imaginary person and the final solution is obtained bycomparison.Finally,consider the impact on the personnel arrangement when certain scientistscannot lead certain projects.Therefore,the problem will become an unbalanced problem with alarger number of people than the number of projects,so it is necessary to join virtual projects andobtain the optimal solution.Finally,in order to be more practical when completing the personnelarrangement,I add another indicator to complete the optimal arrangement by comprehensivelyconsidering the two indicators.Key words Staffing,optimal solution,linear programming model,MATLAB