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Joint Design of Redundancy and Maintenance for Parallel-Series Continuous-State Systems

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2021, Doctor of Philosophy (PhD), Ohio University, Mechanical and Systems Engineering (Engineering and Technology).
System reliability models are usually developed for binary-state systems and multi-state systems. Indeed, the performance degradation of some systems is a continuous process in consecutive time. So far, however, there have been few studies about reliability modeling and optimization for continuous-state systems. Thus, this study attempts to build a redundancy optimization model, an age-based replacement model, and a joint design of redundancy and maintenance model for continuous-state systems. A key component of multi-state models and continuous-state models is to find the relationship between the states of components and the states of systems. Hence, a structure function is presented to give an expression of the relationship between the continuous state of the system and the continuous states of its components over time with the assumption that the individual component degradation is modeled by a Gamma process, which is widely used to model monotonic degradation paths. The most popular design method for reliability optimization problems is to increase the number of redundant components, which is the so-called redundancy allocation problem. In addition to adding redundant components, maintenance design, which includes a series of activities to restore a system, is another method to prolong the lifespan of the system. However, very little attention has been paid to the joint models of redundancy design and maintenance optimization, especially for continuous-state systems. To recognize this gap, this study proposes a joint design of redundancy and maintenance for parallel-series continuous-state deteriorating systems. The growing number of components and the increasing frequency of maintenances give a push to the lifecycle cost of the system. Taken this into consideration, this dissertation focuses on building an optimization model that minimizes the system cost while satisfying the constraint of the system reliability on the basis of the degradation level of the system to find the optimal redundancy design. Based on the redundancy design of the continuous-state system, an age-based replacement strategy that minimizes the long-run expected maintenance cost rate to find the optimal maintenance interval is proposed in this study. Both the preventive replacement and the corrective replacement strategies are considered in the age-based replacement maintenance design. Then, a joint model of redundancy and maintenance design for continuous-state parallel-series systems consisting of degrading components is proposed in this study. Finally, this dissertation studies the degradation of the battery pack system which is a continuous–state parallel-series system related to the configuration of the battery pack system and the state-of-health of cells in electric vehicles to illustrate the proposed methodology.
Tao Yuan (Advisor)
Jundong Liu (Committee Member)
Gary Weckman (Committee Member)
Ashley Metcalf (Committee Member)
Diana Schwerha (Committee Member)
110 p.

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Citations

  • Chen, Y. (2021). Joint Design of Redundancy and Maintenance for Parallel-Series Continuous-State Systems [Doctoral dissertation, Ohio University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1628594957896883

    APA Style (7th edition)

  • Chen, Yuan. Joint Design of Redundancy and Maintenance for Parallel-Series Continuous-State Systems. 2021. Ohio University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1628594957896883.

    MLA Style (8th edition)

  • Chen, Yuan. "Joint Design of Redundancy and Maintenance for Parallel-Series Continuous-State Systems." Doctoral dissertation, Ohio University, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=ohiou1628594957896883

    Chicago Manual of Style (17th edition)