In this paper, we compare the availability characteristics between three different series system configurations with mixed (cold and warm) standby components and k-stage Erlang repair times. Three configurations are studied under the assumption that the time-to-failure for each of the operative and warm standby components are assumed to be exponentially distributed with parameters λ andα , resp...

Virgo is a power recycled Michelson interferometer, with 3 km long Fabry– Perot cavities in the arms. The locking of the interferometer has been obtained with an original lock acquisition technique. The main idea is to lock the instrument away from its working point. Lock is obtained by misaligning the power recycling mirror and detuning the Michelson from the dark fringe. In this way, a good f...

In this paper, a numerical method is proposed to solve the transient state of Markovian system of equations. Such equations appear in the field of reliability engineering for systems having variable failure and repair rates. Generally, steady state behaviour of the system model is studied due to some constraint on obtaining transient state solution. The proposed method helps to determine the pr...

This is an example of an observational study involving two variables of primary interest and several supplementary variables; these supplementary variables are ones that might affect the response variable and might also be correlated with the explanatory variable. The intent of the statistical analysis therefore is to produce the best possible description of the relationship between the two int...

A single server finite population queueing model with compulsory server vacation and with fixed batch service has been considered. For this model the system steady state probabilities are obtained. Some performance measures are calculated and numerical examples are also given.  

This paper considers the problem of estimating causal effects of a treatment on a response using supplementary variables. Under the assumption that a treatment is associated with a response through a univariate supplementary variable in the framework of linear regression models, Cox (1960) showed that the estimation accuracy of the regression coefficient of the treatment on the response in the ...

The orthodox way of tile printing results in mulish production. To tame this, digital inkjet technology was imposed. In this article, a mathematical prototype is designed exclusively for the wing. various plants coming under are correlated to proposed prototype. article throws light on functioning turns up subservient bulk service queue models with two types vacations. resolved supplementary va...