The machine efficiency of (M/M/1) machine interference problem

Abstract

In many industrial processes a set of machines is served by a number of operatives. From time to time a machine breaks down and the operative repairs and restart. If the number of machine which stop exceeds the number of operatives, then some of these machines are forced to wait for repair and machine interference occurs. During the fifties and sixties, a number of empirical and semi-empirical interference formulae for the evaluation of diminished productivity have been suggested. In recent years a number of papers have appeared, dealing with the problem not only in calculating effective production rate but also in analyzing the machine interference model. Therefore, this study is significant to the field of machine interference problem because it would extend the applicability of the theory of machine interference. The main objectives of the research are to illustrate the use of a theoretical solution of the machine interference problem by way of an example. Further, this research derives the equation for relationship between several factors affecting operative utilization of machine efficiency in a black box model, (MiMI ) model and a patrolling system. This study shows that the number of machines (N) becomes an important factor becomes an important factor not only in a black box model and (MIMII) model but also in a unidirectional patrolled system, since the machine efficiency (E) is inversely proportional to the number of machines (N)(i.e, E«1/N). In (MiMl I) model, the method of calculating mode. the method of calculating the machine efficiency when N becomes large has been simplified. Nevertheless, a more significant method can be developed in future research, where the simpler method for the calculation of the machine efficiency (E) when the number of machines (N) is large can be established.