MONOTONICITY PROPERTIES FOR A SINGLE SERVER QUEUE WITH CLASSICAL RETRIAL POLICY AND SERVICE INTERRUPTIONS
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초록
The purpose of this study is to introduce a new analytical approach namely, a qualitative analysis, which is another field of own right to establish insensitive stochastic bounds on some performance measures of a single server queue with classical retrial policy and service interruptions by using the monotonicity and comparability approach relative to the convex ordering. More precisely, we study the conditions of comparability of certain performance measures, namely the probability of number of external customers entering during a service period, the conditions of monotonicity of transition operator of embedded Markov chain and the conditions to compare the stationary distributions. Numerical studies are performed to support the theoretical obtained results.
Abstract
The purpose of this study is to introduce a new analytical approach namely, a qualitative analysis, which is another field of own right to establish insensitive stochastic bounds on some performance measures of a single server queue with classical retrial policy and service interruptions by using the monotonicity and comparability approach relative to the convex ordering. More precisely, we study the conditions of comparability of certain performance measures, namely the probability of number of external customers entering during a service period, the conditions of monotonicity of transition operator of embedded Markov chain and the conditions to compare the stationary distributions. Numerical studies are performed to support the theoretical obtained results.
참고문헌 (34)
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