2Department of Mathematical Sciences, Bayero University, Kano, 700006, Nigeria
Abstract
This study aimed to increase textile manufacturing system dependability, reliability, maintain-ability, availability, and metrics like MTBF and MTTF by boosting RAMD. The textile system under investigation is a serial system consisting of five subsystems, which are; subsystem A is weaving section, subsystem B is the dry clean section, subsystem C is the cross cut section, subsystem D is the side seam section and subsystem E is the cleaning section. Each of the subsystem consist of main unit, warm standby unit and cold standby unit. For design and pre-diction, the Markovian birth-death method is employed to assemble the system governing the differential difference equation from the state-to-state transition diagram. The rates of repair and failure of each subsystem are exponentially distributed and statistically independent. For several subsystems of the system, the findings for RAMD, all of which are crucial to system performance, have been acquired and shown in figures and tables. Furthermore, the results of this study reveal that the highest system performance and dependability may be achieved when the overall system failure rate is low. The findings of this research are thought to be valu-able for analyzing performance and determining the best system design and feasible main-tenance strategies that may be used in the future to improve system performance, strength, effectiveness, production output as well as revenue mobilization.