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Performance analysis of the leaky bucket scheme with queue length dependent arrival rates
최두일,이상한 대한수학회 2006 대한수학회보 Vol.43 No.3
In this paper, we analyze a leaky bucket (LB) schemewith queue length dependent arrival rates. In other words, if thequeue length exceeds an appropriate threshold value on buer, thearrivals need to be controlled. In ATM networks, if the congestionoccurs, the input tracs must be controlled (reduced) for conges-tion resolution. By the bursty and correlated properties of tracs,the arrivals are assumed to follow a Markov-modulated Poisson pro-cess (MMPP). We derive the loss probability and the waiting timedistribution for arbitrary cell. The analysis is done by using theembedded Markov chain and supplementary variable method. Wealso present some numerical examples to show the eects of ourproposed LB scheme.
Analysis of queueing model with priority scheduling by supplementary variable method
최두일 한국전산응용수학회 2013 Journal of applied mathematics & informatics Vol.31 No.1
We analyze queueing model with priority scheduling by supplementaryvariable method. Customers are classified into two types (type-1 and type-2 ) according to their characteristics. Customers of eachtype arrive by independent Poisson processes, and all customers regardlessof type have same general service time. The service order of each typeis determined by the queue length of type-1 buffer. If the queue lengthof type-1 customer exceeds a threshold L, the service priority is given tothe type-1 customer. Otherwise, the service priority is given to type-2customer. Method of supplementary variable by remaining service timegives us information for queue length of two buffers. That is, we derive thedifferential difference equations for our queueing system. We obtain jointprobability generating function for two queue lengths and the remainingservice time. Also, the mean queue length of each buffer is derived.
최두일,윤태성 대한의용생체공학회 1987 의공학회지 Vol.8 No.2
In this study, basilar membrane motions and neural tuning responses are analysed with I-dimensional equations for cochlear fluid mechanics and an active cochlear model. The results are as follows. (1) The differences between basilar membrane motions in an active cochlear model and in an passive cochlear model are explained. (2) The basilar membrane motion curves and the neur'at tuning curves which are in accordance with physiological measurements ave obtained. (3) It is proved that the active mechanism makes cochlear highly frequency sensitive.