Busy period analysis, rare events and transient behavior in fluid flow models
نویسندگان
چکیده
منابع مشابه
The Busy Period in the Fluid
Consider a uid queue fed by N on/oo sources. It is assumed that the silence periods of the sources are exponentially distributed, whereas the activity periods are generally distributed. The innow rate of each source, when active, is at least as large as the outtow rate of the buuer. We make two contributions to the performance analysis of this model. Firstly, we determine the Laplace-Stieltjes ...
متن کاملEfficient Algorithms for Transient Analysis of Stochastic Fluid Flow Models
We derive several algorithms for the busy period distribution of the canonical Markovian fluid flow model. One of them is similar to the Latouche–Ramaswami algorithm for quasi-birth–death models and is shown to be quadratically convergent. These algorithms significantly increase the efficiency of the matrix-geometric procedures developed earlier by the authors for the transient and steady-state...
متن کاملTransient and Busy Period Analysis of the Gi/gi1 Queue as a Hilbert Factorization Problem
In this paper we find the waiting time distribution in the transient domain and the busy period distribution of the GI/G/I queue. We formulate the problem as a two-dimensional Lindley process and then transform it to a Hilbert factorization problem. We achieve the solution of the factorization problem for the GI/R/I, R/G/I queues, where R is the class of distributions with rational Laplace tran...
متن کاملTransient Analysis of Stochastic Fluid Models
We analyze the transient behavior of stochastic uid ow models in which the input and output rates are controlled by a nite homogeneous Markov process. Such models are used in asynchronous transfer mode (ATM) to evaluate the performance of fast packet switching and in manufacturing systems for the performance of producers and consumers coupled by a buuer. The transient analysis of such models ha...
متن کاملStatistical Monitoring of Rare Events in Healthcare
There are miscellaneous quality characteristics in healthcare which are interested to be monitored. However, monitoring each characteristic needs a special statistical method. There are some characteristics with very small incidence rates that it’s usually considered not to be necessary to monitoring them, since their incidence rates are so small that p and np charts are not able to monitor t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Stochastic Analysis
سال: 1994
ISSN: 1048-9533,1687-2177
DOI: 10.1155/s1048953394000262