不耐烦行为生产库存系统最优生产和分包控制

Optimal Production and Subcontracting Control in a Production-Inventory System with Impatient Behavior

研究了具有止步行为不耐烦顾客的生产库存系统的生产和分包控制问题。当顾客到达时,若有订单积压,则有部分顾客由于预期等待时间过长而放弃购买后离开系统,形成订单损失成本。在综合考虑订单收益和各种成本的基础上,企业通过基本库存水平和基本分包水平两个阈值对系统进行控制,以实现整体利润最大。建立了系统的Markov模型,得到系统稳态概率和性能指标,证明了最优库存水平和最优分包阈值的存在性及取值范围,并设计了搜索算法。利用他们对系统进行了数值分析。我们发现,基本库存基本分包控制策略下的系统性能优于基本库存策略下的系统性能。而且,即使当生产分包成本大于订单损失成本时,企业选择生产分包仍有可能获得收益。

We present the optimal production and subcontracting control in a production-inventory system with balking.If there are backorders and the estimated waiting time is greater than the maximum delay he expected,an arriving customer may refuse to place the order and leave system immediately.Manager regulates system by two thresholds,base stock level and base subcontracting level.We model the dynamics of the system as a Markov chain and then give the numerical analysis.We find that,for the systems with strategic customers,subcontracting may enhance profit even though subcontracting cost is higher than lost sales cost.Managerial insights are proposed lastly.