Machine Interference Problem With Balking, Reneging, Vacation And Warm Spares

With the rapid development of communication system and computer technology, the analysis of performance measures about Machine Interference Problem is widely concerned, and it has improtant application in manufacturing system, computer network,time-sharing computer systerms.The Machine Interference Problem model with balking, reneging, vacation policy and spares is considered in the thesis. Compared to the classic Machine Interference Problem,this model is more complicated and is of great practical importance.At the basis of the classical Machine Interference Problem model, the systerm with warm spares, the failed machines with balking, reneging and server vacation is considered, then three new Machine Interference Problem models are set up. These models are the extension of the previous literature ralated the Machine Interference Problem model, and these three models could depict some practical problem existed in the application even better.Firstly, the paper studies the Machine Interference Problem Models with balking, reneging and single vacation policy of single server. The method of blocking matrix is used to derive the obvious iterative formula of the steady-state probability vectors. Then the performance measures of the systerm are analyzed respectively on the point of queueing theory and reliability, then the mean queue length ,the availability, the mean time to first failure of the systerm and the reliability of laplace transform are derived. At last, some numerical analysis is carried out, the parameters'effect on the performance measures formula about queueing theory and the steady-state performance measures about reliability is invertigated.Secondly, Machine Interference Problem models with balking, reneging, several warm spares and thesynchronous vacation of multi-repairmen is considered. By using the method of blocking matrix, the formula of the steady-state probability vectors are derived. Then the formula of performance measures of the queueing theory and reliability are derived. At last, some numerical analysis is carried out.Finally, the paper studies the Machine Interference Problem Models with balking, reneging, warm spares and N policy. The method of blocked matrix is used to derive the iterative formula of the steady-state probability. Then some numerical analysis is carried out.