维修员工数量配置的优化模型

Optimization model of maintenance worker number disposition

为解决由于维修员工的数量设置不当,造成人力资源利用率低、成本高的问题,基于排队论原理,采用数学建模方法对维修部门在单位时间内到达的顾客数和安排的维修员工数进行了分析。维修部门的工作情况为:多服务台对多个顾客进行服务,服务时间为随机型,输入过程为平稳型。通过分析,建立数学模型,排队模型采用M/M/c/∞/∞模型。首先对维修部门进行初步调查,了解顾客对排队的感想及维修员工设置的基本数据,然后利用模型分析计算出员工数量分配的最佳方案。通过数学建模,更好地利用了维修人力资源,也可应用于其他维修部门的员工数量配置。

In order to solve the problem that improper maintenance worker number leads to low resource using rate and high cost, based on queuing theory,this paper analyses the guest number and worker number in the unit time.The works status in maintenance department was multi-service,multi-guest,random service time and evenly input course.Based on the above analysis, this paper made use of the M/M/c/∞/∞ model. Firstly,it made an initial investigation for the maintenance department to get the idea of guest about the queue and the primary data of worker number, then counted and found the optimization model of worker number disposition.The model makes use of resource better, and it can be used in other maintenance departments.