Analysis of birth-death fluid queues
نویسنده
چکیده
We present a survey of techniques for analysing the performance of a reservoir which receives and releases fluid at rates which are determined by the state of a background birth-death process. The reservoir is assumed to be infinitely large, but the state space of the modulating birth-death process may be finite or infinite.
منابع مشابه
Fluid Flow Models and Queues— A Connection by Stochastic Coupling
We establish in a direct manner that the steady state distribution of Markovian fluid flow models can be obtained from a quasi birth and death queue. This is accomplished through the construction of the processes on a common probability space and the demonstration of a distributional coupling relation between them. The results here provide an interpretation for the quasi-birth-and-death process...
متن کاملTransient Analysis of a Fluid Queue Driven by a Birth and Death Process Suggested by a Chain Sequence
We analyse the transient behaviour of a fluid queue driven by a birth and death process (BDP) whose birth and death rates are suggested by a chain sequence. For the BDP suggested by a chain sequence, the stationary probabilities do not exist and hence the stationary buffer content distribution for fluid queues driven by such BDP does not exist. However, their transient distribution is obtained ...
متن کاملMany-Server Limits for Periodic Infinite-Server Queues
To better understand (i) the long-run average performance of periodic many-server queues and (ii) the consequence of fitting a stationary birth-and-death (BD) process to a segment of the sample path of the queue-length process from a many-server system, we establish many-server heavy-traffic fluid limits for the periodic Mt/GI/∞ model. These yield relatively simple fluid approximations for both...
متن کاملFluid Queues Driven by a Birth and Death Process with Alternating Flow Rates
Fluid queue driven by a birth and death process (BDP) with only one negative effective input rate has been considered in the literature. As an alternative, here we consider a fluid queue in which the input is characterized by a BDP with alternating positive and negative flow rates on a finite state space. Also, the BDP has two alternating arrival rates and two alternating service rates. Explici...
متن کاملSojourn times in fluid queues with independent and dependent input and output processes
Markov Fluid Queues (MFQs) are the continuous counterparts of quasi birth-death processes, where in-finitesimally small jobs (fluid drops) are arriving and are being served according to rates modulated by acontinuous time Markov chain. The fluid drops are served according to the First-Come-First-Served (FCFS)discipline. The queue length process of MFQs can be analyzed by efficie...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1996