A queueing system with two di erent service speeds
نویسنده
چکیده
In this paper we consider an M=M=1 queueing system in which the server can serve at two di erent speeds. The speed of the server is regulated by the content of a credit bu er. The performance measures of interest are the sojourn time distribution of customers and the joint distribution of the content of the waiting room and the content of the credit bu er. This system is a simple model for a tra c regulation scheme (two-level tra c shaper) at the edge of an ATM network. Numerical results are presented which demonstrate the e ect of the regulation scheme.
منابع مشابه
Approximations for Chat Service Systems Using Many-Server Diffusion Limits
We study a queueing model of customer service chat (CSC) systems. A unique feature of these queueing systems is that a single agent can serve multiple customers simultaneously. We prove the convergence of the queueing process to di↵erent di↵usion processes in a many server heavy-tra c regime in three di↵erent cases. Using this result, we are able o↵er approximations for the steady state perform...
متن کاملQueueing Inventory System in a Two-level Supply Chain with One-for-One Ordering Policy
Consider a two-level inventory system consisting of one supplier and one retailer. The retailer faces a Poisson demand with a known rate and applies base stock (one-for-one ordering) policy. That is, his inventory position is set to a pre-determined level, so the demand pattern is transferred exactly to the supplier. The supplier has an inventory system and a service unit with exponentially dis...
متن کاملFair Queueing in ATM Networks: A Simulation Study
The issue of tra c control in ATM networks is of the utmost importance in the light of the heterogeneity of the tra c they carry. Each class of users is to be guaranteed a quality of service nominally di erent from what the other classes get. In other words, scheduling mechanisms are to be devised so as to minimize interference among tra c ows having di erent quality of service requirements. Fa...
متن کاملDiscrete Time Analysis of Multi-Server Queueing System with Multiple Working Vacations and Reneging of Customers
This paper analyzes a discrete-time $Geo/Geo/c$ queueing system with multiple working vacations and reneging in which customers arrive according to a geometric process. As soon as the system gets empty, the servers go to a working vacations all together. The service times during regular busy period, working vacation period and vacation times are assumed to be geometrically distributed. Customer...
متن کاملAnalysis of M/G/ 1 queueing model with state dependent arrival and vacation
This investigation deals with single server queueing system wherein the arrival of the units follow Poisson process with varying arrival rates in different states and the service time of the units is arbitrary (general) distributed. The server may take a vacation of a fixed duration or may continue to be available in the system for next service. Using the probability argument, we construct the ...
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