多状态串并联系统结构与维修策略

为准确构建生产系统中系统结构与设备维修之间的关系，以串并联系统冗余分配问题（RAP）为基础，引入基于系统可靠性的机会维修策略与基于状态的检测间隔，建立了设备购置与维修费用最少为目标的系统结构与维修策略的联合模型，从而在保证系统生产效率和可用度的前提下，降低系统运行的总成本。利用半马尔可夫过程和通用生成函数（UGF）求解出系统在检测点上各状态的稳态概率、维修费用及可用度。通过算例表明，无论在系统设计之前还是在运行之后，将系统结构与维修策略综合考虑比分开考虑更具经济价值。

Structure and maintenance policy of a multi-state series-parallel system

To construct the association between system structure and equipment maintenance in production system, based on redundancy allocation problems (RAP), the opportunistic maintenance policy and state-dependent inspection intervals based on system reliability were introduced to establish joint model of system structure and maintenance policy with minimum total cost of equipment purchasing and maintenance. On the premise of ensuring system production efficiency and availability, the total cost was reduced. Markov process and universal generating function (UGF) were used to solve the steady probability vectors at inspection points, maintenance cost and system availability. The computational examples indicate that it is more economical to comprehensively consider both system structure and maintenance policy than separately no matter before system design or after system operation.