Sensitivity and performance analysis of a three-unit soft biscuit manufacturing system with two types of repairers

The present paper addresses the reliability modeling of a three-unit soft biscuit-making system. The system under consideration consists of three units, namely the mixer, depositor, and oven. Depositor and oven are connected through the same conveyor belt, so if there is a failure in either of them then another will be in a down state. On the other hand, the mixer works as a separate unit that provides feed to the depositor. However, the mixer can also be in a down state if the failures of either depositor or oven are not repaired within the stipulated time. Two repair personnel are appointed to handle the failures associated with the units. The system is assessed by employing the semi-Markov process and regenerative point technique. Additionally, relevant measures of system effectiveness are derived, accompanied by a comprehensive sensitivity analysis to assess the impact of various parameters on the system’s performance. Graphical representations are employed to visually analyze the influence of these parameters on the system’s overall efficiency.