具有不确定需求的不可靠生产系统的控制问题

Control problem of failure prone systems with demand uncertainty

针对具有不确定需求层的不可靠生产系统的生产控制问题,提出一个具有最优三层界点的控制策略.该策略三层界点的两个表示库存目标的正界点,一个表示定货需求的负界点.利用分解问题的方法得到了正、负界点的解析表达式,提供了一个近似最优的单界点控制策略,以及运用该解析表达式将三界点控制策略退化为一个双界点甚至退化为一个单界点控制策略的方法.仿真结果表明,与使用退化后的双或单界点控制策略相比,需求阀的关闭率越快,使用三界点控制策略可以节省越多的费用.

Considering a control problem of failure prone production systems with demand uncertainty, an optimal trinal hedging point control policy was proposed. Two positive hedging points denoted stock objective and a negative hedging point denoted order demand in the policy. The analytical expressions of the positive and negative hedging points for the systems＇ production were obtained by a decomposition method, and a near-optimal single hedging point control policy for the systems＇production was introduced. A method using the analytical expressions was also proposed to reduce the trinal hedging point control policy to a double hedging point policy,even a single hedging point policy. Numerical results show that compared with double hedging point policy or single hedging point policy, the trinal hedging point policy reduces the cost with the increasing transition rate of the demand valve from the “on” state to the “off” state.