Abstract: To solve the optimal inventory control parameters of Assemble-To-Order(ATO)system,the relations between the inventory control parameters and many important performance indexes should be obtained,such as order fill rates and expected order-based backorders.Previous studies focused on the properties of ATO systems under stochastic processes with stationary increments such as homogeneous Poisson process or renewal process,but the arrival intensity of demand was volatile in reality.Under the assumption that the density of demand arrival process was time-varying,the analytical expression for describing the relations between performance indexes and inventory control parameters was provided.In the case of“scarce”or“ample”common component stocks,the change modes of system performance under the fluctuation of multi product demand density were solved.The above conclusions were illustrated through numerical experiments.

Key words: assemble-to-order, non-stationary demand, first come first served policy, probability generating function, Poisson process with time varying density, inventory control

摘要： 为求解面向订单装配(ATO)系统的最优库存控制参数,需首先求出产品订单满足率、缺货期望等重要性能指标与库存控制参数之间的关系。以往的研究集中于需求服从齐次泊松过程或更新过程等平稳增量随机过程下面向订单装配系统的性质。现实中,需求的到来是有波动性的。将面向订单装配系统中产品需求到来推广到强度有波动性的情况下,求出了上述性能指标与库存控制参数之间关系的解析表达式,求解了在通用零部件的库存“稀缺”或“充足”的情形下,多产品需求强度波动下系统性能的变化模式。最后,通过算例验证了上述结论。

关键词: 面向订单装配, 非平稳需求, &ldquo, 先到先得&rdquo, 策略, 概率母函数, 带时倚强度泊松过程, 库存控制