NETWORKS OF INTERACTING STOCHASTIC FLUID MODELS
نویسندگان
چکیده
منابع مشابه
Optimal Control of Stochastic Networks - an Approach via Fluid Models
We consider a general control problem for networks which includes the special cases of scheduling in multiclass queueing networks and routing problems. The fluid approximation of the network is used to derive new results about the optimal control for the stochastic network. The main emphasis lies on the average cost criterion, however the β-discounted as well as the finite cost problem are also...
متن کاملLinear Stochastic Fluid Networks
We introduce open stochastic fluid networks that can be regarded as continuous analogs or fluid limits of open networks of infinite-server queues. Random exogenous input may come to any of the queues. At each queue, a cdf-valued stochastic process governs the proportion of the input processed by a given time after arrival. The routing may be deterministic (a specified sequence of successive que...
متن کاملPointwise Stationary Fluid Models for Stochastic Processing Networks
G earlier work on staffing and routing in telephone call centers, we consider a processing network model with large server pools and doubly stochastic input flows. In this model the processing of a job may involve several distinct operations. Alternative processing modes are also allowed. Given a finite planning horizon, attention is focused on the two-level problem of capacity choice and dynam...
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 کاملPerturbation Analysis of Multiclass Stochastic Fluid Models
We use Stochastic Fluid Models (SFM) for control and optimization (rather than performance analysis) of communication networks, focusing on problems of admission control. We consider a SFM with an uncontrolled traffic class and a controlled traffic class subject to threshold-based admission control. We derive gradient estimators for packet loss and workload related performance metrics with resp...
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: Bulletin of the Australian Mathematical Society
سال: 2018
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972718000941