Multiclass Markovian fluid queues
نویسندگان
چکیده
This paper considers a multiclass Markovian fluid queue with a buffer of infinite capacity. Input rates of fluid flows in respective classes and the drain rate from the buffer are modulated by a continuous-time Markov chain with finite states. We derive the joint Laplace-Stieltjes transform for the stationary buffer contents in respective classes, assuming the FIFO service discipline. Further we develop a numerically feasible procedure to compute the joint and marginal moments of the stationary buffer contents in respective classes. Some numerical examples are then provided.
منابع مشابه
A Network of Time-Varying Many-Server Fluid Queues with Customer Abandonment
To describe the congestion in large-scale service systems, we introduce and analyze a non-Markovian open network of many-server fluid queues with customer abandonment, proportional routing and time-varying model elements. A proportion of the fluid completing service at each queue is routed immediately to each other queue, while the fluid not routed to other queues leaves the network. The fluid ...
متن کاملAlgorithms for Time-Varying Networks of Many-Server Fluid Queues
Motivated by large-scale service systems with network structure and non-exponential customer abandonment, in a previous paper we introduced a non-Markovian time-varying open network of many-server fluid queues with customer abandonment from each queue and timevarying proportional routing among the queues, and showed how performance functions can be determined. The deterministic fluid model serv...
متن کاملMulticlass Polling Systems with Markovian Feedback: Mean Sojourn times in Gated and Exhaustive Systems with Local Priority and Fcfs Service Orders
We consider polling systems in which a single server visits stations in cyclic order and serves customers at each station according to either the gated rule or the exhaustive rule of the station. There are multiple classes of customers at each station, and they are served in either the priority order or the first-come-first-served (FCFS) order. After completing a service at a station, each cust...
متن کاملFluid Models for Multiserver Queues with Abandonments
Deterministic fluid models are developed to provide simple first-order performance descriptions for multi-server queues with abandonment under heavy loads. Motivated by telephone call centers, the focus is on multi-server queues with a large number of servers and non-exponential service-time and time-to-abandon distributions. The first fluid model serves as an approximation for the G/GI/s + GI ...
متن کاملEquivalence of Fluid Models for Gt/GI/N +GI Queues
Four different fluid model formulations have been recently developed for Gt/GI/N+ GI queues, including a two-parameter fluid model in Whitt (2006) by tracking elapsed service and patience times of each customer, a measure-valued fluid model in Kang and Ramanan (2010) and its extension in Zuñiga (2014) by tracking elapsed service and patience times of each customer, and a measure-valued fluid mo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Queueing Syst.
دوره 56 شماره
صفحات -
تاریخ انتشار 2007