Reliability Characteristics of Machining Systems and Some Queueing Theory Regarding the Machine Repair Problem

Abstract: The article delves into the elements of machine repairable systems that contribute to their dependability, as well as certain parts of queueing theory. The use of reliability theory, which is both a mathematical and physical discipline, has aided in our understanding of the laws that control the incidence of failures in machining systems. Life testing, structural reliability, machine maintenance concerns, and the replacement problem are all subfields of reliability research. When dealing with bottlenecks and delays in complicated machining systems, the idea of queueing is often a useful tool. People wait in lines or line ups in many real-world situations, including at traffic lights, phone assistance lines, petrol stations, airports, hospitals, via communication channels, in computer systems, etc. One important subset of queues is made up of queues with finite source populations. Some of the numerous domains that might profit from this class include production, power generation, manufacturing techniques, information and communication technology, and distribution hubs.