منابع مشابه
Stability of Jackson-type Queueing Networks, I
This paper gives a pathwise construction of Jackson-type queueing networks allowing the derivation of stability and convergence theorems under general probabilistic assumptions on the driving sequences; namely, it is only assumed that the input process, the service sequences and the routing mechanism are jointly stationary and ergodic in a sense that is made precise in the paper. The main tools...
متن کاملSequential Bottleneck Decomposition: An Approximation Method for Generalized Jackson Networks
In heavy traffic analysis of open queueing networks, processes of interest such as queue lengths and workload levels are generally approximated by a multidimensional reflected Brownian motion (RBM). Decomposition approximations, on the other hand, typically analyze stations in the network separately, treating each as a single queue with adjusted interarrival time distribution. We present a hybr...
متن کاملStationary Distribution Convergence for Generalized Jackson Networks in Heavy Traffic
In a recent paper [5] it was shown that under suitable conditions stationary distributions of the (scaled) queue lengths process for a generalized Jackson network converge to the stationary distribution of the associated reflected Brownian motion in the heavy traffic limit. The proof relied on certain exponential integrability assumptions on the primitives of the network. In this note we provid...
متن کاملGeneralized Jackson kernels in approximation theory
We study approximative identities In(f)(x) = 1 2 Z ? n(u)f(x ? u) du with positive even trigonometric polynomials n of degree n as kernels. It is well known that in general the approximants In(f) are norm convergent to f with order at most n ?2 and that convergence for the test function f(x) = (2 sin(x=2)) 2 at x = 0 implies norm convergence for a wide class of functions f. We discuss the order...
متن کاملrodbar dam slope stability analysis using neural networks
در این تحقیق شبکه عصبی مصنوعی برای پیش بینی مقادیر ضریب اطمینان و فاکتور ایمنی بحرانی سدهای خاکی ناهمگن ضمن در نظر گرفتن تاثیر نیروی اینرسی زلزله ارائه شده است. ورودی های مدل شامل ارتفاع سد و زاویه شیب بالا دست، ضریب زلزله، ارتفاع آب، پارامترهای مقاومتی هسته و پوسته و خروجی های آن شامل ضریب اطمینان می شود. مهمترین پارامتر مورد نظر در تحلیل پایداری شیب، بدست آوردن فاکتور ایمنی است. در این تحقیق ...
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ژورنال
عنوان ژورنال: The Annals of Applied Probability
سال: 1994
ISSN: 1050-5164
DOI: 10.1214/aoap/1177005203