面向成本与可用度的舰船冗余系统与备件库存优化模型  

A cost and availability oriented optimization model for ship redundant system and spare parts inventory

作　　者：龚立雄[1] 范岩淼 梁嘉乐 肖杪铃 雷彬文 GONG Lixiong;FAN Yanmiao;LIANG Jiale;XIAO Miaoling;LEI Binwen(Hubei Univ.of Technology,Wuhan 430068,China)

机构地区：[1]湖北工业大学,武汉430068

出　　处：《海军工程大学学报》2025年第2期1-8,共8页Journal of Naval University of Engineering

基　　金：国家自然科学基金资助项目(51907055);湖北省科技计划重点研发专项(2023BAB042)。

摘　　要：为有效提高舰船冗余系统可用度,并合理控制舰船保障成本,首先基于马尔科夫(Markov)状态转移过程,考虑了系统部件故障、维修周期以及备件预订过程等参数,建立了k/n舰船冗余系统可用度模型,用于反映系统在不同状态下的可用性;然后,基于全寿命周期费用,构建了一种考虑冗余度和备件库存配置的可用度与成本优化模型,并提出了一种基于边际优化算法的联合优化方法;最后,通过与单一备件库存优化、单一冗余优化方法以及遗传算法和自适应遗传算法的比较,验证了该方法的可行性和有效性。研究结果表明:所提出的联合优化方法能够显著降低舰船冗余系统全寿命周期费用,为舰船冗余系统的可用度分析和成本控制提供了一种新的思路和工具。To effectively enhance the availability of redundant ship systems and rationalize ship support costs,a k/n ship redundant system availability model was established based on the Markov state transition process.The model taked into account parameters such as system component failures,maintenance cycles,and spare parts ordering processes to reflect the system′s availability in different states.An availability and cost optimization model considering redundancy and spare parts inventory configuration was developed based on the total lifecycle cost.Additionally,a joint optimization approach using a marginal optimization algorithm was proposed.Comparative analyses with single spare parts inventory optimization,single redundancy optimization methods,as well as genetic algorithms and adaptive genetic algorithms were conducted,confirming the feasibility and effectiveness of the proposed method.The results indicate that the joint optimization approach significantly reduces the lifecycle cost of ship redundant systems,offering a novel perspective and tool for the analysis of system availability and cost control in ship redundancy systems.

关 键 词：MARKOV过程 可用度 冗余 备件库存 决策系统 全寿命周期费用 

分 类 号：U674.7[交通运输工程—船舶及航道工程]