Stationary queues with one autonomous server
نویسندگان
چکیده
منابع مشابه
stationary single-server queues
This paper complements two previous studies (Daley and Rolski, 1984, 199 1) by indicating the extent to which characteristics of a general stationary point process taken as the arrival process of a single-server queue influence light traffic limit theorems for the two essentially distinct schemes of dilation and thinning as routes to the limit. Properties of both the work-load and the waiting-t...
متن کاملAn Approximation for Performance Evaluation of Stationary Single Server Queues
This paper provides a method for approzimating the probability distributions of stationary statistics in FIFO single server queues. The method is based on the Wiener Hopf factorization technique, and is applied to semi-Markov queues where the underlying state space is of unlimited size. A particularly important case is a model for a statistical multiplezer where the net input process forms a st...
متن کاملAsymptotic Approximations for Stationary Distributions of Many-server Queues with Abandonment
A many-server queueing system is considered in which customers arrive according to a renewal process, and have service and patience times that are drawn from two independent sequences of independent, identically distributed random variables. Customers enter service in the order of arrival and are assumed to abandon the queue if the waiting time in queue exceeds the patience time. The state Y (N...
متن کاملAnalysis of multi-server queues with station and server vacations
In this paper, we consider GI/M/c queues with two classes of vacation mechanisms: Station vacation and server vacation. In the first one, all the servers take vacation simultaneously whenever the system becomes empty, and they also return to the system at the same time, i.e., station vacation is group vacation for all servers. This phenomenon occurs in practice, for example, when the system con...
متن کاملGroup-Server Queues
From analyzing energy-efficient management of data centers, this paper proposes and develops a class of interesting Group-Server Queues, and establishes two representative group-server queues through loss networks and impatient customers, respectively. Furthermore, such two group-server queues are given model descriptions and necessary interpretation. Also, simple mathematical discussion is pro...
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: Stochastic Processes and their Applications
سال: 1985
ISSN: 0304-4149
DOI: 10.1016/0304-4149(85)90027-4