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18 results for “Transient solution”
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Research ArticleOpen accessPhrase in the titleTransient Solution to an infinite Server Queue with Varying Arrival and Departure RateA. A. El-SherbinyProblem statement: In many potential application of queueing theory, the transient solution of queueing system is important. Approach: This study presented the transient solution for infinite server queues with Poisson arrivals and exponential service times when the parameters of both distributions are allowed to vary with time. Based on generating functions technique which results in a simple differential equation. Using … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,977 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleTransient Solution of the M/M/C1 Queue with Additional C2 Servers for Longer Queues and BalkingR. O. Al-Seedy, A. A. El-Sherbiny, S. A. EL-Shehawy, S. I. AmmarThe goal of this research is to discuss the M/M/C1 queue with additional C2 servers for longer queues and balking. By using generating function technique the transient probabilities are derived in terms of the modified Bessel function. …Journal of Mathematics and Statistics, Vol. 4, Issue 1 · 31 Mar 2008 · 7,416 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAnalytical Solution Based on a New Series along with the Numeric Solution of the Non-Homogeneous Transient Heat Conduction Equation, in Hollow Cylinder under General Mixed Boundary ConditionsMehdi Zare, F. KardanIn this study, the problem of transient conduction heat transfer for an infinite hollow cylinder under non-homogeneous mixed boundary conditions at the both surfaces simultaneously in radial direction with general heat source depend on time and radius, also general initial condition by the method of superposition and separation variables, is solved and temperature distribution is obtained analytically. A new series … …American Journal of Engineering and Applied Sciences, Vol. 11, Issue 2 · 20 Apr 2018 · 9,486 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn a Novel Closed-Form Analytical Solution for Unsteady Solidification: Theory and ApplicationGueber Elias Mendes Santos Júnior, Fernando S. Rocha, Ana Beatriz S. Silva et al.Numerical modeling of transient solidification under convective boundary conditions presents a significant challenge because accurately tracking the solid–liquid interface is essential for obtaining a stable solution. Although analytical solutions are generally straightforward to apply, the growing demand for energy storage driven by mismatches between supply and demand in renewable‑energy systems requires reliable predictive tools for Latent Heat Thermal Energy Storage … …American Journal of Engineering and Applied Sciences, Vol. 19, Issue 1 · 21 May 2026 · 1,668 accessesView PDFCite
Research ArticleOpen accessIn the abstractON REDUCED SCALAR EQUATIONS FOR SYNCHRONOUS BOOLEAN NETWORKSAli Muhammad Ali Rushdi, Adnan Ahmad AlsogatiA total description of a synchronous Boolean network is typically achieved by a matrix recurrence relation. A simpler alternative is to use a scalar equation which is a possibly nonlinear equation that involves two or more instances of a single scalar variable and some Boolean operator(s). Further simplification is possible in terms of a linear reduced scalar equation which is … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 10 Sep 2013 · 6,665 accessesView PDFCite
Research ArticleOpen accessIn the abstractNumerical Simulation of the Transient Flow in Natural Gas Transmission Lines Using a Computational Fluid Dynamic MethodPedram Ghaseminejad, Nikan NoorbeheshtUntil now, almost all tools that are used to analyze gas transportation networks are based on steady flow conditions. Some design problems can be solved by the assumption of a steady state. However, some circumstances force us to use transient analyses, which commonly include changes in customer demand, the failure of a compressor station or gas pipeline ruptures. In this … …American Journal of Applied Sciences, Vol. 10, Issue 1 · 6 Jan 2013 · 7,457 accessesView PDFCite
Research ArticleOpen accessIn the abstractMultiresolution Analysis Based Effective Diagnosis of Induction MotorsHouda Ben Attia Sethom, Mediha Ajjabi GhedamsiProblem statement: Effective detection and localization of unbalance voltage supply affecting an induction motor may be compromised in presence of additionnal noise. Approach: In order to overcome the non possibility of the default detection and localization in presence of noise, the use of the discrete wavelet transform and especially the MultiResolution Analysis algorithm, to remove efficiently the noise associated to … …American Journal of Applied Sciences, Vol. 9, Issue 5 · 20 Feb 2012 · 8,102 accessesView PDFCite
Research ArticleOpen accessIn the abstractSynchronous Generator Disturbance Provoked by Induction Motor StartingS. P.Y. Santos, E. Delbone, E. F. Carvalho, L. N. MartinsProblem statement: This study presented an alternative procedure for the starting of large Inductions Motors (IM) in isolated generation systems. Approach: In isolated generation systems on stand-by or base load, the starting of the IM provoked sags frequently beyond the ability of the other consumers in the plant to stand. Manufacturers' solutions always recommend a supersized generator to decrease transient … …American Journal of Applied Sciences, Vol. 7, Issue 7 · 31 Jul 2010 · 6,939 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Time-Dependent Mean and Variance of the Non-Stationary Markovian Infinite Server SystemPeter M. EllisProblem statement: In many queuing situations the average arrival and service rates vary over time. In those situations a transient solution for the state probabilities and mean and variance must be obtained. Approach: The mean and the variance of a particular infinite server model will be obtained using the state differential-difference equations and the factorial moment generating function. The average … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,422 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Eigenstructure Assignment for a Static Synchronous CompensatorAhmad N. Al-HusbanProblem statement: Power flow through an AC transmission line is influenced by three basic electrical parameters, which are line impedance, magnitudes and phase-shift angle between the sending and receiving voltages. Therefore, the change in any of the three basic parameters means a change in the power flow through the transmission line. The aims of this research paper are: increase the … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 7,691 accessesView PDFCite