Subject Of Breakdown Research Articles

Block-partitioning matrix solution of M/M/R/N queueing system with balking, reneging and server breakdowns

In this paper, we present analysis for an M/M/R/N queueing systemwith balking, reneging and server breakdowns. The server is subjectto breakdowns with different Poisson breakdown rates $\alpha_0 $ and$\alpha$ for the empty period of the system and the nonempty periodof the system, respectively. When the server breaks down, it will berepaired immediately by a repair facility attended by $R$ repairmen.The repair times of the servers are assumed to follow a negativeexponential distribution with different repair rates $\beta_0$ and$\beta$ corresponding to whether the server breaks down in the emptyperiod of the system and the nonempty period of the system. We studynot only some queueing problems of the system, but also somereliability problems of the servers. By using the partitioned blockmatrix method, we solved the steady-state probability equationsiteratively and derived the steady-state probabilities in a matrixform. Some performance measures of queueing and reliability areobtained. A cost model is developed to determine the optimum numberof servers while the system availability is maintained at a certainlevel. The cost analysis is also investigated by numerical results.

Analytical approach to SF/sub 6/ breakdown under transient conditions

Under many circumstances, the initiation of breakdown can be viewed as conversion of energy stored in the electric field (capacitive energy) to thermal energy which converts matter in a thin channel from a nonconducting state to a conducting plasma. This paper analyzes this process in the context of breakdown in SF/sub 6/ as a prelude to future papers which treat the subject of breakdown under highly inhomogeneous thermal field, quasihomogeneous electric field conditions.