Document Type : Original Article
Department of Mathematical Sciences, Bayero University, Kano, Nigeria
Department of Mathematics, Kano University of Science and Technology, Wudil, Kano, Nigeria
Department of Mathematics, Federal University, Dutse, Nigeria
Department of Mathematics College of Arts and Science, Kano, Nigeria
Department of Mathematics, Federal University Dutse, Jigawa Nigeria
Department of Mathematics, Sokoto State University, Sokoto
The present paper focus on the performance evaluation of an active dissimilar parallel system. The system has two parallel active units. Two repair service stations are set aside to handle unit failure. At failure of a unit, the service station will engage in the repair of the failed unit. The repair machines are systems themselves that are bound to fail. The system of linear differential difference equation is analyzed to obtained expressions of reliability measures of determining the strength of system such as availability, mean time to failure (MTTF) and profit function. Numerical examples such as surface plots and sensitivity analysis are presented to illustrate the obtained results and to analyze the effect of various system parameters. On the basis of numerical experiments, it is observed that the system’s best availability, MTTF and profit results may be achieved on a regular basis when repair machines are deployed.