Kumar Pankaj, Jain Madhu, Meena Rakesh Kumar
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247 667, India.
Department of Mathematics, Institute of Science, BHU, Varanasi 221 005, India.
ISA Trans. 2022 Jan;119:52-64. doi: 10.1016/j.isatra.2021.02.027. Epub 2021 Feb 18.
In this study, fuzzy modeling and service control based on optimal N-policy for fault tolerance system have been investigated. The impacts of failures and recovery along with the reboot process are taken into account for the assessment of performance indices of the system operating under redundancy and provision of maintainability. The non-Markovian M/G/1 model of the fault-tolerant system with vacationing server is developed by using the supplementary variable to represent the remaining time to repair and further employing recursive approach. The parametric non-linear programming is used to derive fuzzy performance metrics. The sensitiveness of parameters concerning system indices is done. The cost function is framed to obtain the optimal descriptors and minimal cost using harmony search.
在本研究中，对基于最优N策略的容错系统的模糊建模和服务控制进行了研究。在评估冗余运行并具备可维护性的系统的性能指标时，考虑了故障、恢复以及重启过程的影响。通过使用补充变量来表示剩余修复时间，并进一步采用递归方法，建立了具有休假服务器的容错系统的非马尔可夫M/G/1模型。使用参数非线性规划来推导模糊性能指标。对与系统指标相关的参数进行了敏感性分析。构建成本函数以使用和声搜索获得最优描述符并实现成本最小化。
