Titlebook: Sample-Path Analysis of Queueing Systems; Muhammad El-Taha,Shaler Stidham Book 1999 Springer Science+Business Media New York 1999 Ergodic

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Introduction and Overview, the system under study. It also provides a powerful tool for practitioners to determine which properties of a given system are independent of the usually imposed probabilistic assumptions. By its very nature a sample-path argument is deterministic and therefore requires no probabilistic assumptions

Narrative

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Processes with Imbedded Point Process: General State Space,d point processes. We consider processes with a general state space, specializing in the next chapter to a discrete state space. A unique feature of this approach is that all results are shown to follow from the three fundamental relations proved in Chapter 2: Lemma 2.1, the sample-path version of t

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Processes with Imbedded Point Process: Countable State Space,the main focus is on the use of sample-path analysis to derive relations between various asymptotic state frequencies, such as the frequency at an arbitrary point in time and at the times of arrivals to a queueing system. In certain cases, we are also able to prove insensitivity.

Cabg318

Sample-Path Stability,king, a stable system will tend to some sort of equilibrium, in which the state continues to fluctuate but such measures as the (average) probability distribution of the state or the fraction of time spent in various states do not change over time. By contrast, in an unstable system such limits do n

暴露他抗议

Insensitivity of Queueing Networks,ean. In Chapter 4 we give a sample-path proof of the insensitivity of a batch- arrival . queue, in which the batch sizes and service times are allowed to be state dependent (see also Stidham and El-Taha [182]). In this chapter we present a unified approach to proving insensitivity of symmetric queue

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For blood flows through large vessels a Newtonian homogeneous fluid model can be adequate, while in the capillaries and in orifices and constrictions individual blood cells and interactions among blood cells assume importance. Another important feature of flows in the cardiovascular system or in th