منابع مشابه
Transient Queueing Analysis
T exact distribution of the nth customer’s sojourn time in an M/M/s queue with k customers initially present is derived. Algorithms for computing the covariance between sojourn times for an M/M/1 queue with k customers present at time 0 are also developed. Maple computer code is developed for practical application of transient queue analysis for many system measures of performance without regar...
متن کاملTransient Behavior of Queueing Networks
We present algorithms for approximating time-varying performance parameters for a Gt/G/c queuing system and for networks of such stations. The key ingredient is a formula for computing approximate sojourn time distributions for a Gt/G/c queuing system with time-varying arrivals and phase-type service times. The formula is based on transient Little laws expressing expected queue lengths and outp...
متن کاملTransient Behaviour of Queueing Networks
In most contemporary queueing network analysis, the assumption is made that a network is in a state of equilibrium. That is, the network's state space probabilities are assumed to be time independent. It is therefore important to be able to quantify precisely when this assumption is valid. Furthermore there are also situations in which it is desirable to model the transient behaviour of network...
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 کاملUsing singularity analysis to approximate transient characteristics in queueing systems
In this paper, we develop a simple method to approximate the transient behavior of queueing systems. In particular, it is shown how singularity analysis of a known generating function of a transient sequence of some performance measure leads to an approximation of this sequence. To illustrate our approach, several specific transient sequences are investigated in detail. By means of some numeric...
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ژورنال
عنوان ژورنال: Journal of the Institute of Engineering
سال: 2016
ISSN: 1810-3383
DOI: 10.3126/jie.v11i1.14711