随机需求和提前期环境下的精确库存成本建模

Exact inventory cost model with random demands and lead time

在随机需求和随机提前期环境下,用传统的方法对库存成本进行建模时,得到的结果是不精确甚至是错误的,在需求分布不规则时则很难进行成本的精确建模。为解决这类问题,使用微元法的建模思想,对随机需求和随机提前期环境下的(Q,r)库存成本模型进行了精确的建模,并在建模过程中考虑了需求离散抵达和连续抵达两种情形。针对最常见的需求依泊松流抵达的情形,进行了精确的建模并分析其属性。最后,使用遗传算法进行了仿真分析。

By using the traditional modeling method to construct the inventory cost model with random demands and lead time, the modeling result was imprecise even wrong. It was difficult to obtain an exact cost model under irregular random demand distribution. To deal with this problem, the infinitesimal dividing method was used to construct the exact （Q,r） inventory cost model with random demands and lead time. In the modeling process, both the discrete demands and the continuous demands were taken into consideration. Then, to deal with the classical case that the demands arrived as a stable Poisson process, the exact cost model was constructed and related properties were analyzed. Finally, it was simulated and analyzed by genetic algorithm.