Some Results on Multiscale Queueing Analysis
نویسندگان
چکیده
Based on a general multifractal queueing approximation some results on multiscale queueing analysis are presented. The results include the well-known Weibullian tail for the important case of the monofractal fractional Brownian motion (fBm) input traffic. It also provides the basics for a new practical method for queueing performance evaluation of multifractal traffic. In addition, several impacts of multifractality on queueing performance are investigated and presented using the estimation method. The results are validated by queueing simulation of measured network traffic.
منابع مشابه
Multiscale Analysis and Control of Networks with Fractal Traffic
A recently-introduced multiscale framework is used to develop efficient analysis and design tech-' niques for networks with self-similar traffic. These allow the interarrival density function for fractal point processes under Bernoulli random erasure to be determined, as well as the counting process distribution for superpositions of these processes. The results suggest that fractal characteris...
متن کاملEmergency Location Problems with an M/G/k Queueing System
Since late 1960's, the emergency location problems, fire stations and medical emergency services have attracted the attention of researchers. Mathematical models, both deterministic and probabilistic, have been proposed and applied to find suitable locations for such facilities in many urban and rural areas. Here, we review some models proposed for finding the location of such facilities, wit...
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 کاملMultiscale Analysis of Transverse Cracking in Cross-Ply Laminated Beams Using the Layerwise Theory
A finite element model based on the layerwise theory is developed for the analysis of transverse cracking in cross-ply laminated beams. The numerical model is developed using the layerwise theory of Reddy, and the von Kármán type nonlinear strain field is adopted to accommodate the moderately large rotations of the beam. The finite element beam model is verified by comparing the present numeric...
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 کامل