A FLUID MODEL DRIVEN BY AN M/M/1 QUEUE WITH CATASTROPHE AND RESTORATION TIME
نویسندگان
چکیده
منابع مشابه
A Fluid Model Driven by an M/m/1 Queue with Catastrophe and Restoration Time
In this paper, we discuss a fluid queue driven by an M/M/1 queue with catastrophe and restoration. Using the continued fraction technique, we derive the Laplace transform of the transient state probability distribution of the buffer content, transient solution for this fluid queue and the corresponding steady state results explicitly. Also we analyze the queue when there are no catastrophes and...
متن کاملA Finite Buffer Fluid Queue Driven by a Markovian Queue
We consider a finite buffer fluid queue receiving its input from the output of a Markovian queue with finite or infinite waiting room. The input flow into the fluid queue is thus characterized by a Markov modulated input rate process and we derive, for a wide class of such input processes, a procedure for the computation of the stationary buffer content of the fluid queue and the stationary ove...
متن کاملA fluid queue driven by a Markovian queue
We consider a uid queue receiving its input from the output of a Marko-vian queue with nite or innnite waiting room. The input rate of the uid queue is characterized by a Markov modulated rate process. We derive a new approach for the computation of the stationary buuer content. This approach leads to a numerically stable algorithm for which the precision of the result can be given in advance. ...
متن کاملA note on a fluid queue driven by an M/M/1 queue
In this note we consider the fluid queue driven by an M / M /1 queue as analysed by Virtamo and Norros [5]. We show that the stationary buffer content in this model can be easily analysed by looking at embedded time points. This approach gives the stationary buffer content distribution in terms of the modified Bessel function of the first kind of order one. By using a suitable integral represen...
متن کاملHeavy-tailed asymptotics for a fluid model driven by an M/G/1 queue
In this paper, an infinite-buffer fluid queue driven by an M/G/1 queue is discussed. The Laplace transform of the distribution of the stationary buffer content is expressed through the minimal positive solution to a crucial equation, similar to the fundamental equation satisfied by the busy period of an M/G/1 queue. Furthermore, the distribution of the stationary buffer content is shown to be r...
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: International Journal of Apllied Mathematics
سال: 2013
ISSN: 1311-1728,1314-8060
DOI: 10.12732/ijam.v26i2.1