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

Repair machines play a critical role in military, communication, industrial, and manufacturing settings. This study investigates the performance of a system that utilizes repair machines with human operators, employing Copula's attributes for estimation. The research focuses on a serial system composed of two subsystems, each consisting of two active components running in parallel. Both subsystems are manned by two human operators and assigned two repair machines for operation and maintenance, where the repair machines are considered failure-prone systems. The system experiences partial and complete malfunction during operation: Partial malfunction lead the system into reduced capacity mode, and a complete malfunction resulting in system failure. The research employs the technique of supplementary variable and transforms of Laplace to establish and solve the governing differential equations corresponding to schematic system's diagram. Performance models for the system such as profit, MTTF, availability, sensitivity of MTTF and reliability are numerically validated and presented through tables and graphs. These findings are highly valuable for evaluating performance, identifying ideal system designs, and developing workable maintenance plans. The research contributes to enhancing system performance, increasing production output, and improving revenue mobilization in various application domains. تفاصيل المقالة