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Titlebook: Stochastic Networks; Paul Glasserman,Karl Sigman,David D. Yao Conference proceedings 1996 Springer-Verlag New York, Inc. 1996 Jackson netw

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Stability for Queues with Time Varying Ratese, we obtain a rigorous basis for the fluid and diffusion approximations that are used to analyze this system. Moreover, the will be many candidates for the time-varying analogue to heavy traffic limit processes. The results are presented to suggest new methods for the asymptotic analysis of nonstationary, continuous time Markov chains.
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Stable Priority Disciplines for Multiclass Networkst this instability may happen in many “favorite” disciplines (such as first-in-first-out, shorted expected service times, and shorted expected remaining service times) has been the focus of many recent studies. In this paper, we address the stability issue from a different angle by asking: whether g
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Stability of Discrete-Time Jackson Networks with Batch Movementsch arrivals, departures and transfers are allowed under a Markovian routing of batches including changes of their sizes. This model corresponds with the continuous-time network work with batch movements studied by Miyazawa and Taylor [11], but needs a care for the discrete-time setting. It is shown
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Nonparametric Estimation of Tail Probabilities for the Single-Server Queueme that the queue is out in the tail. We show that for reflected Brownian motion, the M/M/1 queue-length process, and the GI/G/1 waiting time sequence that the amount of time over which one must observe the queue grows exponentially in the tail parameter when such a nonparametric estimator is used.
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