Probabilistic measures of uncertainty have been obtained as functions of time and birth and death rates in a queuing process. The variation of different entropy measures has been studied in steady and non-steady processes of queuing theory. Keywords—Uncertainty, steady state, non-steady state, traffic intensity, monotonocity

In this paper, we present an exact transient (discrete-time) queuing analysis of a statistical multiplexer with a finite number of input links and whose arrival process is correlated and consists of a train of a fixed number of fixed-length packets. The functional equation describing this queuing model is manipulated and transformed into a mathematical tractable form. This allows us to derive t...

To model the percentage change of blood oxygenation leveldependent (BOLD) signal and reaction time in a dual task, we propose a new mathematical modeling approach—a queuing network approach based on queuing network theory of human performance (Liu, 1996, 1997) and current discoveries in neuroimage studies. This approach includes a queuing network architecture representing the information proces...

Emden–Fowler type equations are nonlinear differential that appear in many fields such as mathematical physics, astrophysics and chemistry. In this paper, we perform an asymptotic analysis of a specific equation emerges queuing theory context approximation voltages under well-known power flow model. Thus, place the electrical engineering. We derive properties continuous solution study behavior ...

Multiresolution analysis and synthesis for discretetime signals is described in this paper. Concepts of scale and resolution are first reviewed in discrete time. The resulting framework allows one to treat the discrete wavelet transform, octave-band perfect reconstruction filter banks, and pyramid transforms from a unified standpoint. This approach is very close to previous work on multiresolut...

Recently the ATM Forum defined the Guaranteed Frame Rate service category to provide a minimum service guarantee to classical best-effort services. The eligibility of frames for this service category is determined with the Frame Based Generic Cell Rate Algorithm and the transmission is guaranteed by a queuing-discipline based on two thresholds. In this paper we present a discrete-time analysis ...

In this paper modelling and queuing analysis of variable-bit-rate (VBR) MPEG coded video sources in B-ISDN networks based on ATM are studied. Modelling is performed by examining a low pass version of the aggregate MPEG sequence, capable of capturing the video activity. A discrete state continuous time Markov chain is then proposed to approximate the aggregate MPEG traffic. The previous model is...

In this paper we consider a queuing system in which the service times of customers are independent and identically distributed random variables, the arrival process is stationary and has the property of orderliness, and the queue discipline is arbitrary. For this queuing system we obtain the steady state second moment of the queue size in terms of the stationary waiting time distribution of a s...

a nonstandard finite difference (nsfd) scheme has been constructed and analyzed for a mathematical model that describes lotka–volterra food web model. this new discrete system has the same stability properties as the continuous model and,on the whole, it preservesthe same local asymptotic stability properties. linearized stability theory and schur–cohn criteria are used for local asymptoticstab...