Data Centers are the backbone of any industry that provides a specialized environment to safeguard the company's valuable equipment and intellectual property. The successful operation of company's Data Center is typically shared among multiple departments and personnel. But, the involvement of multiple personal and departments make its configuration complex. In such situations, reliability of data center become a necessary factor. But, the traditional theory of reliability is based on the Bernoulli trials, i.e., either operative or failure. But this situation is unrealistic in case of complex systems like data center. To rectify this problem, here a mathematical model has been developed using the concept of fuzzy reliability. All the failure and repair rates are exponential distributed along with coverage factor. Chapman-Kolmogorov differential equations have been developed for the fuzzy system using Markov birth–death process. A new methodology Runge–Kutta method of order four has been used to solve Chapman-Kolmogorov differential equations using MATLAB (Ode 45 function).

数据中心是任何提供专业环境来保护公司宝贵设备和知识产权的行业的骨干。公司数据中心的成功运行通常由多个部门和人员共享。但是，由于多个个人和部门的参与，使其配置变得复杂。在这种情况下，数据中心的可靠性成为必要的因素。但是，传统的可靠性理论是基于伯努利试验的，即可操作性或失败性。但是对于像数据中心这样的复杂系统，这种情况是不现实的。为了解决这个问题，这里使用模糊可靠性的概念开发了数学模型。所有的故障率和修复率与覆盖率均呈指数分布。利用马尔可夫出生-死亡过程为模糊系统开发了Chapman-Kolmogorov微分方程。一种新的四阶Runge-Kutta方法已用于使用MATLAB（Ode 45函数）求解Chapman-Kolmogorov微分方程。