In today’s world of technology, it is impossible to see where computer system does not play an important role. The application of distributed systems is gradually becoming broad and diverse, and as a result of this, reliability prediction is a key concern. This paper, considered a distributed system with five standby subsystems A (the clients), B (two load balancers), C (two distributed database servers), D (two mirrored distributed database serves) and E (centralized database server) is considered arranged as series-parallel system. Exponential failure and repair are susceptible for all the components of this system. Each component’s failure rates are constant and considered to obey an exponential distribution, and they are repaired using general repair or copula repair. The system is evaluated using first-order partial differential equations and the supplementary variable technique, Gumbel-Hougaard family of Copula, to find expressions for reliability metrics of system strength such as availability, reliability, MTTF, sensitivity, and profit function. These reliability metrics have been validated for different parametric values and the results are presented in tables and figures. تفاصيل المقالة

This study focuses on an investigation into the analysis of reliability measures used to determine the strength of a serial manufacturing system comprising of three subsystems A, B, and C in the form of units, conveyors, and processors. Subsystem A has three parallel active units, whereas subsystems B and C each have two units. The system is analyzed using the linear differential difference equation, supplementary variable technique and Gumbel-Hougaard family of copula to obtain expressions of reliability measures for determining system strength such as availability, reliability, mean time to failure (MTTF), and profit function. Numerical examples are provided to illustrate the obtained results and analyze the effects of various system parameters. The current study may assist manufacturing, industries, reliability engineers, maintenance managers, system designers and their repairers in alleviating some of the challenges faced by repairers in certain manufacturing and industrial systems operating in harsh environments or under unfavorable weather conditions. تفاصيل المقالة