In this paper, a stochastic model for concrete mixture plant with Preventive Maintenance (PM) is analyzed in detail by using a supplementary variable technique. In a concrete mixture plant eight subsystems are arranged in a series. The system goes under PM after a maximum operation time and work as new after PM. The time to failure of each subsystem follows a negative exponential distribution while PM and repair time distributions are taken as arbitrary. A sufficient repair facility is provided to the system for conducting PM and repair of the system. Repair, maintenance and switch devices are perfect. All random variables are statistically independent. Various measures of system effectiveness such as reliability, mean time to system failure (MTSF), are derived using a supplementary variable technique. The numerical results for reliability and availability are obtained for particular values of various parameters and costs.
Kumar, Ashish; Saini, Monika; and Malik, S. C.
Stochastic Modeling of a Concrete Mixture Plant with Preventive Maintenance,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 9,
1, Article 2.
Available at: https://digitalcommons.pvamu.edu/aam/vol9/iss1/2