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- W95308931 abstract "Abstract This paper represents the message exchange service of FIP as a two stage parallel-series queueing system and then studies its performance in the low load case. The first stage is composed of N queues in parallel. The output flows issued from these queues are then superposed and form the input flow entering into the second stage which is modeled by a single queue with a deterministic service time distribution (server's vacation predetermined by FIP configuration). The exact analysis for the first stage is similar to that of TDMA. Whereas an analytic solution for the second stage seems not easy to achieve due to the unknown characteristics of the input flow entering into this stage. Assuming a constant message's length, N homogeneous queues in the first stage, we propose a two folds approximation in attempting to obtain an approximate solution for the second stage. At first, by using robustness theorem, we proved that the output flow issued from one queue of the first stage is weakly dependent if the average number of messages in the queue is small. This allows to consider the output flow issued from any queue of the first stage as a sequence of i.i.d r.v (independent and identically distributed random variables). Then, the superposition of N independent output flows of the first stage is further approached by a sequence of i.i.d r. v following Poisson distribution to facilitate the calculation. Finally, our proposition is justified by the simulation results. Using this approximation, the second stage can then be resolved by the similar method we used for the first stage." @default.
- W95308931 created "2016-06-24" @default.
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- W95308931 date "1991-01-01" @default.
- W95308931 modified "2023-09-23" @default.
- W95308931 title "APPROXIMATE METHOD FOR PERFORMANCE EVALUATION OF MESSAGE EXCHANGE IN FIELD BUS FIP" @default.
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- W95308931 doi "https://doi.org/10.1016/b978-0-444-88756-6.50032-3" @default.
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