The Production and Maintenance Control Problem of Hybrid Systems with Demand Uncertainty
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摘要: 针对不可靠生产环境, 在需求不确定并且有可能存在需求大于生产的一般性情况下, 探讨了系统生产与维修的控制问题, 提出了一种考虑追加生产能力的具有较强即时动态特性的复合三阈值控制策略. 通过将有限时域上的问题分解到无限时域上的简化方法, 在给出了相应阈值求解方法的同时, 也建议了一种近似最优的复合单阈值控制策略. 仿真结果说明及验证了各控制策略及方法.Abstract: Under the circumstances that the demand is uncertain, furthermore, the demand sometimes cannot be satisfied by production, the paper studies the production and maintenance control problem of failure prone production systems. A so-called complex trinal hedging point control policy is presented, which considers the problem purchasing extra production capacity. By utilizing the decomposition method that decomposes the problem form over the finite horizon to the infinite horizon, the corresponding hedging points are obtained. Meanwhile, a near-optimal single hedging point control policy is also presented. The numerical results have demonstrated the control policies and testified the method.
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Key words:
- Hybrid system /
- maintenance /
- Markov process /
- hedging point control policy
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