考虑员工学习-遗忘效应行为的动态生产-库存优化

Optimization of Dynamic Production - Inventory underEmployees’ Behavior of Learning – forgetting Effect

摘要:

员工在重复性生产作业中表现出学习效应行为,在生产中断后表现出遗忘效应行为,研究员工学习-遗忘效应行为下的动态生产-库存优化问题。引入学习-遗忘理论,构建生产率具有学习-遗忘特征的集成生产-库存系统平均成本函数,证明了在一定条件下平均成本函数是关于单次供货量或供货次数的凸函数。数值分析结果表明,在生产的前期学习效应对成本的降低具有重要的作用；完全遗忘时间越长,最优的平均成本越低；当完全遗忘时间较小时,在生产的后期,供应商处于学习与遗忘的摇摆状态,学习效应对降低成本发挥作用有限；最优成本随学习率的增大而快速增大；最优成本随初始生产率的增大而缓慢减少。本文的研究结论可为管理者何时决定生产中断及中断的时间长度提供决策依据。

Abstract:

Employees show learning effects in repetitive production operations, but show forgetting behavior after production interruption. The paper studies the problem of dynamic production inventory optimization under the behavior of employee learning and forgetting. By using the theory of learning - forgetting, we establish the integrated average cost function of the production-inventory system. It is proved that under certain conditions the average cost function is a convex function of a single supply or delivery times. An algorithm is developed to determine the delivery cycle time and the optimal number of deliveries. Both the supplier and manufacturer can benefit from the integrated supplier- manufacturer with JIT delivery. Numerical analysis results show that the learning effect plays an important role in reducing the production cost in the early stage; the longer completely forgotten time, the lower optimal average cost; In the late stage of production, When completely forgotten time is short, the supplier is in the swing state of learning and forgetting, learning effect plays a limited role in reducing cost. The optimal cost increases with the increase of the learning rate, but decreasing with the increase of the initial productivity. The conclusion of this paper can provide decision basis for managers to decide when to interrupt and the time length of production interruption.