Log in

Relevant bibliographies by topics / Single Laplace Transform / Journal articles

To see the other types of publications on this topic, follow the link: Single Laplace Transform.

Journal articles on the topic 'Single Laplace Transform'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Single Laplace Transform.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Shindo, Yasuhide, Hiroaki Higaki, and Hideaki Nozaki. "Impact Response of a Single Edge Crack in an Orthotropic Strip." Journal of Applied Mechanics 59, no. 2S (1992): S152—S157. http://dx.doi.org/10.1115/1.2899480.

Full text

Abstract:

The elastodynamic response of a single edge crack in an orthotropic strip under normal impact is considered in this study. The edge crack is oriented in a direction normal to the edge of the strip. Laplace and Fourier transforms are used to reduce the transient problem to the solution of a pair of dual integral equations in the Laplace transform plane. The solution to the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. A numerical Laplace inversion routine is used to recover the time dependence of the solution. Numerical values on the dyna

APA, Harvard, Vancouver, ISO, and other styles

2

Heyd, Rodolphe. "Numerical Solution of Linear Second-Kind Convolution Volterra Integral Equations Using the First-Order Recursive Filters Method." Mathematics 12, no. 15 (2024): 2416. http://dx.doi.org/10.3390/math12152416.

Full text

Abstract:

A new numerical method for solving Volterra linear convolution integral equations (CVIEs) of the second kind is presented in this work. This new approach uses first-order infinite impulse response digital filters method (IIRFM). Three convolutive kernels were analyzed, the unit kernel and two singular kernels: the logarithmic and generalized Abel kernels. The IIRFM is based on the combined use of the Laplace transformation, a first-order decomposition, and a bilinear transformation. This approach often leads to simple analytical expressions of the approximate solutions, enabling efficient nume

APA, Harvard, Vancouver, ISO, and other styles

3

Li, Xian-Fang. "Dynamic T-Stress for a Mode-I Crack in an Infinite Elastic Plane." Journal of Applied Mechanics 74, no. 2 (2006): 378–81. http://dx.doi.org/10.1115/1.2190232.

Full text

Abstract:

An integral equation method is presented to determine dynamic elastic T-stress. Special attention is paid to a single crack in an infinite elastic plane subjected to impact loading. By using the Laplace and Fourier transforms, the associated initial-boundary value problem is transformed to a Fredholm integral equation. The dynamic T-stress in the Laplace transform domain can be expressed in terms of its solution. Moreover, an explicit expression for initial T-stress is derived in closed form. Numerically solving the resulting equation and performing the inverse Laplace transform, the transient

APA, Harvard, Vancouver, ISO, and other styles

4

Harrison, P. G., and E. Pitel. "Sojourn times in single-server queues by negative customers." Journal of Applied Probability 30, no. 4 (1993): 943–63. http://dx.doi.org/10.2307/3214524.

Full text

Abstract:

We derive expressions for the Laplace transform of the sojourn time density in a single-server queue with exponential service times and independent Poisson arrival streams of both ordinary, positive customers and negative customers which eliminate a positive customer if present. We compare first-come first-served and last-come first-served queueing disciplines for the positive customers, combined with elimination of the last customer in the queue or the customer in service by a negative customer. We also derive the corresponding result for processor-sharing discipline with random elimination.

APA, Harvard, Vancouver, ISO, and other styles

5

Harrison, P. G., and E. Pitel. "Sojourn times in single-server queues by negative customers." Journal of Applied Probability 30, no. 04 (1993): 943–63. http://dx.doi.org/10.1017/s0021900200044685.

Full text

Abstract:

We derive expressions for the Laplace transform of the sojourn time density in a single-server queue with exponential service times and independent Poisson arrival streams of both ordinary, positive customers and negative customers which eliminate a positive customer if present. We compare first-come first-served and last-come first-served queueing disciplines for the positive customers, combined with elimination of the last customer in the queue or the customer in service by a negative customer. We also derive the corresponding result for processor-sharing discipline with random elimination.

APA, Harvard, Vancouver, ISO, and other styles

6

Dan-Isa, Ado, and D. P. Atherton. "A Computational Method for Obtaining the z-Transform from the s-Transform." Transactions of the Institute of Measurement and Control 17, no. 3 (1995): 107–11. http://dx.doi.org/10.1177/014233129501700301.

Full text

Abstract:

This paper presents a method for the numerical determination of the z-transform and the modified z-transform of a proper rational function expressed in the Laplace transform complex variables. The method is easy to implement on a computer using any high-level language and does not necessarily require the poles of the s-domain function to be found. The method is equally applicable to single-loop and multi-loop systems.

APA, Harvard, Vancouver, ISO, and other styles

7

MAZLOOMZADEH, M., and A. SABOONCHI. "DEVELOPING ANALYTICAL MODELS OF PREDICTING SKIN TEMPERATURE AND DAMAGE EXTENT FROM SINGLE-LAYER INTO MULTI-LAYER ONES." Journal of Mechanics in Medicine and Biology 16, no. 07 (2016): 1650100. http://dx.doi.org/10.1142/s0219519416501001.

Full text

Abstract:

As a starting point for developing analytical models of predicting skin temperature and damage extent into multi-layer ones, a double-layer model consisting of two distinguished and attached layers is considered: a tissue layer containing blood vessels and a tissue layer containing no blood vessels. The Pennes model is applied for the tissue containing blood vessels. Applying the Laplace transform, then the inversion theorem for Laplace transforms and the Cauchy residue theorem, the desired skin temperature function is obtained. Applying the temperature function in a damage model, the severity

APA, Harvard, Vancouver, ISO, and other styles

8

Zou, Wan Jie, Chuan Gao Li, and Yun Xia Zhang. "The Random Response of a Single Degree of Freedom Generalized Maxwell Damping Structure." Applied Mechanics and Materials 744-746 (March 2015): 1648–53. http://dx.doi.org/10.4028/www.scientific.net/amm.744-746.1648.

Full text

Abstract:

Using the model of stationary white noise excitation, defining the exact analytic method of random response and nearer value of earthquake action about single degree of freedom generalized Maxwell damping, firstly transform the motion equation into standard form, with the Laplace transform and Inverse Laplace transform method, obtained the exact analytical formula of structural response, calculate the response variance by the complex modal method and frequency domain decomposition and make comparisons, The response variance decomposition for the first standard vibrator and second order of the

APA, Harvard, Vancouver, ISO, and other styles

9

Chen, W. H., C. L. Chang, and C. H. Tsai. "Elastodynamic Fracture Analysis of Multiple Cracks by Laplace Finite Element Alternating Method." Journal of Applied Mechanics 67, no. 3 (1999): 606–15. http://dx.doi.org/10.1115/1.1311277.

Full text

Abstract:

The Laplace finite element alternating method, which combines the Laplace transform technique and the finite element alternating method, is developed to deal with the elastodynamic analysis of a finite plate with multiple cracks. By the Laplace transform technique, the complicated elastodynamic fracture problem is first transformed into an equivalent static fracture problem in the Laplace transform domain and then solved by the finite element alternating method developed. To do this, an analytical solution by Tsai and Ma for an infinite plate with a semi-infinite crack subjected to exponential

APA, Harvard, Vancouver, ISO, and other styles

10

Avram, F., and M. Usábel. "Ruin Probabilities and Deficit for the Renewal Risk Model with Phase-type Interarrival Times." ASTIN Bulletin 34, no. 02 (2004): 315–32. http://dx.doi.org/10.2143/ast.34.2.505146.

Full text

Abstract:

This paper shows how the multivariate finite time ruin probability function, in a phase-type environment, inherits the phase-type structure and can be efficiently approximated with only one Laplace transform inversion. From a theoretical point of view, we also provide below a generalization of Thorin’s formula (1971) for the double Laplace transform of the finite time ruin probability, by considering also the deficit at ruin; the model is that of a Sparre Andersen (renewal) risk process with phase-type interarrival times. In the case when the claims distribution is of phase-type as well, we ob

APA, Harvard, Vancouver, ISO, and other styles

11

Avram, F., and M. Usábel. "Ruin Probabilities and Deficit for the Renewal Risk Model with Phase-type Interarrival Times." ASTIN Bulletin 34, no. 2 (2004): 315–32. http://dx.doi.org/10.1017/s0515036100013714.

Full text

Abstract:

This paper shows how the multivariate finite time ruin probability function, in a phase-type environment, inherits the phase-type structure and can be efficiently approximated with only one Laplace transform inversion.From a theoretical point of view, we also provide below a generalization of Thorin’s formula (1971) for the double Laplace transform of the finite time ruin probability, by considering also the deficit at ruin; the model is that of a Sparre Andersen (renewal) risk process with phase-type interarrival times.In the case when the claims distribution is of phase-type as well, we obta

APA, Harvard, Vancouver, ISO, and other styles

12

Anjum, Naveed, Muhammad Suleman, Dianchen Lu, Ji-Huan He, and Muhammad Ramzan. "Numerical iteration for nonlinear oscillators by Elzaki transform." Journal of Low Frequency Noise, Vibration and Active Control 39, no. 4 (2019): 879–84. http://dx.doi.org/10.1177/1461348419873470.

Full text

Abstract:

Iteration methods are widely used in numerical simulation. This paper suggests the Elzaki transform in the variational iteration method for simple identification of the Lagrange multiplier. The Elzaki transform is a modification of the Laplace transform, and it is extremely useful for treating with nonlinear oscillators as illustrated in this paper, a single iteration leads to a high accuracy of the solution.

APA, Harvard, Vancouver, ISO, and other styles

13

Yan, Guqi, Samuel Raetz, Jean-Philippe Groby, et al. "Estimation via Laser Ultrasonics of the Ultrasonic Attenuation in a Polycrystalline Aluminum Thin Plate Using Complex Wavenumber Recovery in the Vicinity of a Zero-Group-Velocity Lamb Mode." Applied Sciences 11, no. 15 (2021): 6924. http://dx.doi.org/10.3390/app11156924.

Full text

Abstract:

In this paper, we present a method to recover the complex wavenumber dispersion relations using spatial Laplace transform from experimental spatiotemporal signals measured by laser ultrasonic technique. The proposed method was applied on zero-group-velocity Lamb modes in order to extract the ultrasonic attenuation in a polycrystalline aluminum plate of about 70 μm thickness. The difference between the experimental and theoretical Laplace Fourier transforms was minimized in the least square sense to extract the complex amplitudes and complex wavenumbers of the modes at about 40 MHz. The experim

APA, Harvard, Vancouver, ISO, and other styles

14

Yue, Zihan, Wei Jiang, Boying Wu, and Biao Zhang. "A meshless method based on the Laplace transform for multi-term time-space fractional diffusion equation." AIMS Mathematics 9, no. 3 (2024): 7040–62. http://dx.doi.org/10.3934/math.2024343.

Full text

Abstract:

<abstract><p>Multi-term fractional diffusion equations can be regarded as a generalisation of fractional diffusion equations. In this paper, we develop an efficient meshless method for solving the multi-term time-space fractional diffusion equation. First, we use the Laplace transform method to deal with the multi-term time fractional operator, we transform the time into complex frequency domain by Laplace transform. The properties of the Laplace transform with respect to fractional-order operators are exploited to deal with multi-term time fractional-order operators, overcoming th

APA, Harvard, Vancouver, ISO, and other styles

15

González, F., R. J. López, and F. Moreno. "Single-Photon-Decay Spectroscopy by Means of a Laplace Transform Method: Application to a Crystal of TMMC." Applied Spectroscopy 43, no. 2 (1989): 324–28. http://dx.doi.org/10.1366/0003702894203255.

Full text

Abstract:

In order to demonstrate the applicaton of a Laplace transform method to a real experiment of single-photon-decay spectroscopy, we have measured the lifetime of the 4 T1 state of Mn2+ in an undoped TMMC crystal at room temperature. The theoretical predictions for exponentially decaying signals have been reported in a previous work by means of a computer simulation of the experiment. The experimental results obtained in this work by means of the Laplace transform method show its goodness for obtaining lifetimes of long-lived levels at low fluorescence intensities (less than one photon per lifeti

APA, Harvard, Vancouver, ISO, and other styles

16

Moreno, F., and R. J. LÓPez. "Lifetime Measurement by Using the Laplace Transform in Single-Photon-Decay Spectroscopy." Applied Spectroscopy 41, no. 8 (1987): 1307–11. http://dx.doi.org/10.1366/0003702874447103.

Full text

Abstract:

In this paper we present a method for processing the time-interval data obtained in a single-photon-decay spectroscopy experiment. This method is based on the measurement of the Laplace transform of Pƒ( t) [the probability distribution function of the time of arrival of the first photon (PDFP) after the excitation pulse] instead of the direct measurement of Pƒ( t) by means of a multichannel analyzer. With the use of this method, a good estimation of the lifetime of the signal can be obtained with a shorter measurement time than that used in the conventional method, in which the recorded time i

APA, Harvard, Vancouver, ISO, and other styles

17

Hamza, F., A. M. Abd El-Latief, and W. Khatan. "Thermomechanical Fractional Model of Two Immiscible TEMHD." Advances in Materials Science and Engineering 2015 (2015): 1–16. http://dx.doi.org/10.1155/2015/391454.

Full text

Abstract:

We introduce a mathematical model of unsteady thermoelectric MHD flow and heat transfer of two immiscible fractional second-grade fluids, with thermal fractional parametersαiand mechanical fractional parametersβi,i=1,2. The Laplace transform with respect to time is used to obtain the solution in the transformed domain. The inversion of Laplace transform is obtained by using numerical method based on a Fourier-series expansion. The numerical results for temperature, velocity, and the stress distributions are represented graphically for different values ofαiandβi. The graphs describe the fractio

APA, Harvard, Vancouver, ISO, and other styles

18

Robles Balestero, Juan Paulo, Jaimis Sajid Leon Colqui та Sérgio Kurokawa. "Using the Exact Equivalent π-Circuit Model for Representing Three-Phase Transmission Lines Directly in the Time Domain". Energies 16, № 20 (2023): 7192. http://dx.doi.org/10.3390/en16207192.

Full text

Abstract:

This paper presents a novel three-phase transmission line model for electromagnetic transient simulations that are executed directly within the time domain. This model relies on distributed and frequency-dependent parameters, as well as employs modal transformation for its implementation. The single-phase model of the exact equivalent π-circuit is utilized for each propagation mode. This model combines discrete components, such as resistors, inductors, and capacitors, to accurately emulate the transmission line behavior via linear circuit elements. This model can be seamlessly integrated into

APA, Harvard, Vancouver, ISO, and other styles

19

Lemoine, Austin J. "On sojourn time in Jackson networks of queues." Journal of Applied Probability 24, no. 2 (1987): 495–510. http://dx.doi.org/10.2307/3214273.

Full text

Abstract:

This paper is about representations for equilibrium sojourn time distributions in Jackson networks of queues. For a network with N single-server nodes let hi be the Laplace transform of the residual system sojourn time for a customer ‘arriving' to node i, ‘arrival' meaning external input or internal transfer. The transforms {hi : i = 1, ···, N} are shown to satisfy a system of equations we call the network flow equations. These equations lead to a general recursive representation for the higher moments of the sojourn time variables {Ti : i = 1, ···, N}. This recursion is discussed and then, by

APA, Harvard, Vancouver, ISO, and other styles

20

Lemoine, Austin J. "On sojourn time in Jackson networks of queues." Journal of Applied Probability 24, no. 02 (1987): 495–510. http://dx.doi.org/10.1017/s0021900200031132.

Full text

Abstract:

This paper is about representations for equilibrium sojourn time distributions in Jackson networks of queues. For a network with N single-server nodes let hi be the Laplace transform of the residual system sojourn time for a customer ‘arriving' to node i, ‘arrival' meaning external input or internal transfer. The transforms {hi : i = 1, ···, N} are shown to satisfy a system of equations we call the network flow equations. These equations lead to a general recursive representation for the higher moments of the sojourn time variables {Ti : i = 1, ···, N}. This recursion is discussed and then, by

APA, Harvard, Vancouver, ISO, and other styles

21

Al-Khulaifi, Waled, and Amin Boumenir. "Reconstructing The Moore-Gibson-Thompson Equation." Nonautonomous Dynamical Systems 7, no. 1 (2020): 219–23. http://dx.doi.org/10.1515/msds-2020-0117.

Full text

Abstract:

AbstractWe are concerned with the inverse problem of recovering a third order Moore-Gibson-Thompson equation from a single observation of its solution at an arbitrary point. We show how to reconstruct its three unknown parameters and the memory kernel by using the Laplace transform.

APA, Harvard, Vancouver, ISO, and other styles

22

Reynolds, Robert, and Allan Stauffer. "The Double Laplace Transform Expressed in terms of the Lerch Transcendent." European Journal of Pure and Applied Mathematics 14, no. 3 (2021): 618–37. http://dx.doi.org/10.29020/nybg.ejpam.v14i3.3987.

Full text

Abstract:

In this manuscript, the authors derive a formula for the double Laplace transform expressed in terms of the Lerch Transcendent. The log term mixes the variables so that the integral is not separable except for special values of k. The method of proof follows the method used by us to evaluate single integrals. This transform is then used to derive definite integrals in terms of fundamental constants, elementary and special functions. A summary of the results is produced in the form of a table of definite integrals for easy referencing by readers.

APA, Harvard, Vancouver, ISO, and other styles

23

Domada, Triveni, S. Ashok Kumar, Gudela Ashok, and D. Chaya Kumari. "A novel multiphase encryption strategy with fibonacci numbers and matrices." Journal of Discrete Mathematical Sciences and Cryptography 28, no. 1 (2025): 117–29. https://doi.org/10.47974/jdmsc-2069.

Full text

Abstract:

This paper proposes multiple encryption methods that secures plaintext by integrating various techniques, including the application of graph theory to trees, Fibonacci matrices, and affine transformations. The use of multiple encryption layers minimizes the risks associated with data encryption by ensuring that the compromise of a single layer does not jeopardize the overall security. This multiencryption method can be extended to public key cryptosystems. We introduce a super encryption technique that employs Laplace transformations and Fibonacci numbers. The process begins by applying the La

APA, Harvard, Vancouver, ISO, and other styles

24

Wen, H. B., T. Zeng, and G. Z. Hu. "Application of Laplace Transform to the Free Vibration of Continuous Beams." Archives of Civil Engineering 63, no. 1 (2017): 163–80. http://dx.doi.org/10.1515/ace-2017-0011.

Full text

Abstract:

AbstractLaplace Transform is often used in solving the free vibration problems of structural beams. In existing research, there are two types of simplified models of continuous beam placement. The first is to regard the continuous beam as a single-span beam, the middle bearing of which is replaced by the bearing reaction force; the second is to divide the continuous beam into several simply supported beams, with the bending moment of the continuous beam at the middle bearing considered as the external force. Research shows that the second simplified model is incorrect, and the frequency equati

APA, Harvard, Vancouver, ISO, and other styles

25

Zhang, Ya Peng, and Feng Gao. "Analytical Solution of 1-D Viscoelastic Consolidation of Soft Soils with Fractional Maxwell Model." Applied Mechanics and Materials 157-158 (February 2012): 419–23. http://dx.doi.org/10.4028/www.scientific.net/amm.157-158.419.

Full text

Abstract:

Considering the rheological characteristics of soil, think the fractional maxwell with viscoelastic model can be described, the fractional maxwell model into integral form of saturated soft soil layer, the one dimensional compression, through the Laplace transform problems get instantaneous loading and single stage, the analytical solution of the loading conditions.

APA, Harvard, Vancouver, ISO, and other styles

26

Deresse, Alemayehu Tamirie. "Application of Iterative Three-Dimensional Laplace Transform Method for 2-Dimensional Nonlinear Klein-Gordon Equation." Trends in Sciences 20, no. 3 (2023): 4410. http://dx.doi.org/10.48048/tis.2023.4410.

Full text

Abstract:

In the present study, the exact analytical solutions of the 2-dimensional nonlinear Klein-Gordon equation (NLKGE) is investigated using the 3-dimensional Laplace transform method in conjunction with the Daftardar-Gejji and Jafari Method (Iterative method). Through this method, the linear part of the problem is solved by using the 3-dimensional Laplace transform method, while the noise terms from the nonlinear part of the equation disappear through a successive iteration process of the Daftardar-Gejji and Jafari Method (DJM), where a single iteration gives the exact solution to the problem. Thr

APA, Harvard, Vancouver, ISO, and other styles

27

Lee, Ho Woo, and Boo Yong Ahn. "Operational behavior of the MAP/G/1 queue under N-policy with a single vacation and set-up." Journal of Applied Mathematics and Stochastic Analysis 15, no. 2 (2002): 151–80. http://dx.doi.org/10.1155/s1048953302000151.

Full text

Abstract:

This paper considers the MAP/G/1 queue under N-policy with a single vacation and set-up. We derive the vector generating functions of the queue length at an arbitrary time and at departures in decomposed forms. We also derive the Laplace-Stieltjes transform of the waiting time. Computation algorithms for mean performance measures are provided.

APA, Harvard, Vancouver, ISO, and other styles

28

Nikitenko, Agris, Aleksis Liekna, Martins Ekmanis, Guntis Kulikovskis, and Ilze Andersone. "Single Robot Localisation Approach for Indoor Robotic Systems through Integration of Odometry and Artificial Landmarks." Applied Computer Systems 14, no. 1 (2013): 50–58. http://dx.doi.org/10.2478/acss-2013-0006.

Full text

Abstract:

Abstract we present an integrated approach for robot localization that allows to integrate for the artificial landmark localization data with odometric sensors and signal transfer function data to provide means for different practical application scenarios. The sensor data fusion deals with asynchronous sensor data using inverse Laplace transform. We demonstrate a simulation software system that ensures smooth integration of the odometry-based and signal transfer - based localization into one approach.

APA, Harvard, Vancouver, ISO, and other styles

29

Mitra, Soma, Sanchita Das, and Somenath Chakrabarty. "On the time-dependent Rindler Hamiltonian single particle eigenstates in momentum space." Modern Physics Letters A 35, no. 11 (2020): 2050075. http://dx.doi.org/10.1142/s0217732320500753.

Full text

Abstract:

We have developed a formalism in the non-relativistic scenario to obtain the time evolution of the eigenstates of Rindler Hamiltonian in momentum space. Hence, the particle wave function in spacetime coordinates is obtained using Fourier transform of the momentum space wave function. We have discussed the difficulties with characteristic curves, and re-cast the time evolution equations in the form of two-dimensional Laplace equation. The solutions are obtained both in polar coordinates as well as in the Cartesian form. It has been observed that in the Cartesian coordinate, the probability dens

APA, Harvard, Vancouver, ISO, and other styles

30

Choi, Bong Dae, Kyung Hyune Rhee, and Kwang Kyu Park. "The M/G/1 Retrial Queue With Retrial Rate Control Policy." Probability in the Engineering and Informational Sciences 7, no. 1 (1993): 29–46. http://dx.doi.org/10.1017/s0269964800002771.

Full text

Abstract:

We consider a single-server retrial queueing system where retrial time is inversely proportional to the number of customers in the system. A necessary and sufficient condition for the stability of the system is found. We obtain the Laplace transform of virtual waiting time and busy period. The transient distribution of the number of customers in the system is also obtained.

APA, Harvard, Vancouver, ISO, and other styles

31

Harrison, P. G., and J. Bor. "Response Time Distribution in a Tandem Pair of Queues with Batch Processing." Journal of the ACM 68, no. 4 (2021): 1–41. http://dx.doi.org/10.1145/3448973.

Full text

Abstract:

Response time density is obtained in a tandem pair of Markovian queues with both batch arrivals and batch departures. The method uses conditional forward and reversed node sojourn times and derives the Laplace transform of the response time probability density function in the case that batch sizes are finite. The result is derived by a generating function method that takes into account that the path is not overtake-free in the sense that the tagged task being tracked is affected by later arrivals at the second queue. A novel aspect of the method is that a vector of generating functions is solv

APA, Harvard, Vancouver, ISO, and other styles

32

Borovkov, A. A., O. J. Boxma, and Z. Palmowski. "On the integral of the workload process of the single server queue." Journal of Applied Probability 40, no. 1 (2003): 200–225. http://dx.doi.org/10.1239/jap/1044476835.

Full text

Abstract:

This paper is devoted to a study of the integral of the workload process of the single server queue, in particular during one busy period. Firstly, we find asymptotics of the area 𝒜 swept under the workload process W(t) during the busy period when the service time distribution has a regularly varying tail. We also investigate the case of a light-tailed service time distribution. Secondly, we consider the problem of obtaining an explicit expression for the distribution of 𝒜. In the general GI/G/1 case, we use a sequential approximation to find the Laplace—Stieltjes transform of 𝒜. In the M/M/1

APA, Harvard, Vancouver, ISO, and other styles

33

Borovkov, A. A., O. J. Boxma, and Z. Palmowski. "On the integral of the workload process of the single server queue." Journal of Applied Probability 40, no. 01 (2003): 200–225. http://dx.doi.org/10.1017/s0021900200022348.

Full text

Abstract:

This paper is devoted to a study of the integral of the workload process of the single server queue, in particular during one busy period. Firstly, we find asymptotics of the area 𝒜 swept under the workload process W(t) during the busy period when the service time distribution has a regularly varying tail. We also investigate the case of a light-tailed service time distribution. Secondly, we consider the problem of obtaining an explicit expression for the distribution of 𝒜. In the general GI/G/1 case, we use a sequential approximation to find the Laplace—Stieltjes transform of 𝒜. In the M/M/1

APA, Harvard, Vancouver, ISO, and other styles

34

Ben, Sidiq Okwudili. "Single-Server Queue System of Shuttle Bus Performance: Federal University of Technology Akure as Case Study." American International Journal of Multidisciplinary Scientific Research 5, no. 3 (2019): 9–14. http://dx.doi.org/10.46281/aijmsr.v5i3.372.

Full text

Abstract:

This study has examined the performance of University transport bus shuttle based on utilization using a Single-server queue system which occur if arrival and service rate is Poisson distributed (single queue) (M/M/1) queue. In the methodology, Single-server queue system was modelled based on Poisson Process with the introduction of Laplace Transform. It is concluded that the performance of University transport bus shuttle is 96.6 percent which indicates a very good performance such that the supply of shuttle bus in FUTA is capable of meeting the demand.

APA, Harvard, Vancouver, ISO, and other styles

35

Lokteva, Natalia, Dmitry Serdyuk, and Pavel Skopintsev. "Non-stationary influence function for an unbounded anisotropic Kirchhoff-Love shell." Journal of Applied Engineering Science 18, no. 4 (2020): 737–44. http://dx.doi.org/10.5937/jaes0-28205.

Full text

Abstract:

The purpose of this article is to investigate the process of the influence of a nonstationary load on an arbitrary region of an elastic anisotropic cylindrical shell. The approach to the study of the propagation of forced transient oscillations in the shell is based on the method of the influence function, which represents normal displacements in response to the action of a single load concentrated along the coordinates. For the mathematical description of the instantaneous concentrated load, the Dirac delta functions are used. To construct the influence function, expansions in exponential Fou

APA, Harvard, Vancouver, ISO, and other styles

36

Choi, Bong Dae, and Bara Kim. "An M/G/l queueing system with fixed feedback policy." ANZIAM Journal 44, no. 2 (2002): 283–97. http://dx.doi.org/10.1017/s1446181100013948.

Full text

Abstract:

We consider a single server queueing system where each customer visits the queue a fixed number of times before departure. A customer on his j th visit to the queue is defined to be a class-j -customer. We obtain the joint probability generating function for the number of class-j-customers and also obtain the Laplace-Stieltjes transform for the total response time of a customer.

APA, Harvard, Vancouver, ISO, and other styles

37

Zi, Yanyang, Xue Feng Chen, Zheng Jia He, and Peng Chen. "Vibration Based Modal Parameters Identification and Wear Fault Diagnosis Using Laplace Wavelet." Key Engineering Materials 293-294 (September 2005): 183–92. http://dx.doi.org/10.4028/www.scientific.net/kem.293-294.183.

Full text

Abstract:

Wavelet transform is a powerful technique well suited to non-stationary signal processing. The properties of wavelet are determined by its basis function. In the fields of modal analysis, mechanical condition monitoring and fault diagnosis, impulse responses or transient responses are very common signals to be analyzed. The Laplace wavelet is a single-sided damped exponential wavelet and is a desirable wavelet basis to analyze signals of impulse response. A correlation filtering approach is introduced using the Laplace wavelet to identify the impulse response from vibration signals. Successful

APA, Harvard, Vancouver, ISO, and other styles

38

Taber, Larry A. "A Theory for Transverse Deflection of Poroelastic Plates." Journal of Applied Mechanics 59, no. 3 (1992): 628–34. http://dx.doi.org/10.1115/1.2893770.

Full text

Abstract:

A theory is presented for the bending of fluid-saturated poroelastic plates. The governing equations, based on linear consolidation theory, reduce to a single fourth-order integro-partial-differential equation to be solved for the transverse displacement of the middle surface. This equation resembles the classical plate equation but has an added convolution integral, which represents the viscous losses due to the flow of fluid relative to the solid. Laplace transform and perturbation solution methods are presented. The Laplace-transformed poroelastic plate equation and the first-order equation

APA, Harvard, Vancouver, ISO, and other styles

39

A. Sridhar, S. Senthilkumar ,. "Analysis of Single Server Queueing System with Encouraged Arrival rate of Customers." Tuijin Jishu/Journal of Propulsion Technology 44, no. 4 (2023): 6049–56. http://dx.doi.org/10.52783/tjjpt.v44.i4.2037.

Full text

Abstract:

In this study, we explore a queuing system with a single server that facilitates the arrival of Encouraged consumers while limiting server control. For first-time users, the server in this configuration provides three distinct service types (one by one service, bulk service with an accessible collection, and non-accessible collection). To calculate the predicted number of customers waiting in queue, the likelihood of a steady state, and a system of difference differential equation, the Laplace transform is used. The tabular format is used to display the numerical findings.

APA, Harvard, Vancouver, ISO, and other styles

40

Tang, Yinghui. "The departure process of the M/G/1 queueing model with server vacation and exhaustive service discipline." Journal of Applied Probability 31, no. 4 (1994): 1070–82. http://dx.doi.org/10.2307/3215330.

Full text

Abstract:

In this paper we study the departure process of M/G/1 queueing models with a single server vacation and multiple server vacations. The arguments employed are direct probability decomposition, renewal theory and the Laplace–Stieltjes transform. We discuss the distribution of the interdeparture time and the expected number of departures occurring in the time interval (0, t] from the beginning of the state i (i = 0, 1, 2, ···), and provide a new method for analysis of the departure process of the single-server queue.

APA, Harvard, Vancouver, ISO, and other styles

41

Tang, Yinghui. "The departure process of the M/G/1 queueing model with server vacation and exhaustive service discipline." Journal of Applied Probability 31, no. 04 (1994): 1070–82. http://dx.doi.org/10.1017/s0021900200099587.

Full text

Abstract:

In this paper we study the departure process of M/G/1 queueing models with a single server vacation and multiple server vacations. The arguments employed are direct probability decomposition, renewal theory and the Laplace–Stieltjes transform. We discuss the distribution of the interdeparture time and the expected number of departures occurring in the time interval (0, t] from the beginning of the state i (i = 0, 1, 2, ···), and provide a new method for analysis of the departure process of the single-server queue.

APA, Harvard, Vancouver, ISO, and other styles

42

Greenberg, Betsy S. "M/G/1 queueing systems with returning customers." Journal of Applied Probability 26, no. 1 (1989): 152–63. http://dx.doi.org/10.2307/3214325.

Full text

Abstract:

Single-channel queues with Poisson arrivals, general service distributions, and no queue capacity are studied. A customer who finds the server busy either leaves the system for ever or may return to try again after an exponentially distributed time. Steady-state probabilities are approximated and bounded in two different ways. We characterize the service distribution by its Laplace transform, and use this characterization to determine the better method of approximation.

APA, Harvard, Vancouver, ISO, and other styles

43

Greenberg, Betsy S. "M/G/1 queueing systems with returning customers." Journal of Applied Probability 26, no. 01 (1989): 152–63. http://dx.doi.org/10.1017/s0021900200041887.

Full text

Abstract:

Single-channel queues with Poisson arrivals, general service distributions, and no queue capacity are studied. A customer who finds the server busy either leaves the system for ever or may return to try again after an exponentially distributed time. Steady-state probabilities are approximated and bounded in two different ways. We characterize the service distribution by its Laplace transform, and use this characterization to determine the better method of approximation.

APA, Harvard, Vancouver, ISO, and other styles

44

Strąkowska, Maria, Gilbert De Mey, and Bogusław Więcek. "Identification of the Thermal Constants of the DPL Heat Transfer Model of a Single Layer Porous Material." Pomiary Automatyka Robotyka 25, no. 2 (2021): 41–46. http://dx.doi.org/10.14313/par_240/41.

Full text

Abstract:

This paper deals with parameters’ identification of the Dual Phase Lag (DPL) thermal model of a 3D printed porous materials. The experiments were performed for two porous materials with different filling factors. The Laplace transform was applied for the heat transfer equation and together with different optimization methods it allowed to identify the thermal time constants of the DPL model. Several optimization methods were tested with known parameters in order to confirm the correctness of the parameters’ estimation.

APA, Harvard, Vancouver, ISO, and other styles

45

Reni Sagayaraj, M., S. Anand Gnana Selvam, P. Manoharan, and R. Reynald Susainathan. "A Study on the Stochastic Approximation Method during the Single Server Queueing System with Catastrophe." Asian Journal of Science and Applied Technology 5, no. 1 (2016): 4–11. http://dx.doi.org/10.51983/ajsat-2016.5.1.2540.

Full text

Abstract:

We consider an M/G/1 queueing system where the customer arrivals occur according to a Poisson process with mean arrival rate λ. The server is subject to catastrophe and repairs while in operation. At failure times, the server still works at a lower service rate rather than completely stopping service.The service time follow general laws with probability distribution function and Laplace Stieltjes transform. Using the approximation conditions in the classical M/G/1 system, we obtain stability inequalities with exact computation of the constants.

APA, Harvard, Vancouver, ISO, and other styles

46

Al-Khaled, Kamel, Isam Al-Darabsah, Amer Darweesh, and Amro Alshare. "Analytical and Numerical Treatment of Evolutionary Time-Fractional Partial Integro-Differential Equations with Singular Memory Kernels." Fractal and Fractional 9, no. 6 (2025): 392. https://doi.org/10.3390/fractalfract9060392.

Full text

Abstract:

Evolution equations with fractional-time derivatives and singular memory kernels are used for modeling phenomena exhibiting hereditary properties, as they effectively incorporate memory effects into their formulation. Time-fractional partial integro-differential equations (FPIDEs) represent a significant class of such evolution equations and are widely used in diverse scientific and engineering fields. In this study, we use the sinc-collocation and iterative Laplace transform methods to solve a specific FPIDE with a weakly singular kernel. Specifically, the sinc-collocation method is applied t

APA, Harvard, Vancouver, ISO, and other styles

47

Zhao, Qing Liang, Hua Qing Wang, and Jin Ji Gao. "Study on Dynamic Balance Weighting for Single-Disk Rotor System Based on Phase Difference Mapping." Advanced Materials Research 430-432 (January 2012): 1437–41. http://dx.doi.org/10.4028/www.scientific.net/amr.430-432.1437.

Full text

Abstract:

The rotor mass imbalance is main reason of rotating mechanical vibration. A new dynamic balance weighting method for single-disk rotor system based on phase difference mapping is presented. Firstly, the influence coefficient method and its characteristics are analyzed in detail. Secondly, the equivalent phase difference mapping relationship between incentive and vibration response for single-disk rotor system is proved by differential equations and Laplace transform theory. Finally, a specific application instance is showed. The new method is simple and easy to peel the phase coupling relation

APA, Harvard, Vancouver, ISO, and other styles

48

Lanza de Cristoforis, Massimo, Paolo Musolino, and Jari Taskinen. "A real analyticity result for symmetric functions of the eigenvalues of a quasiperiodic spectral problem for the Dirichlet Laplacian." Journal of Operator Theory 86, no. 2 (2021): 439–67. http://dx.doi.org/10.7900/jot.2020jun08.2304.

Full text

Abstract:

As is well known, by the Floquet--Bloch theory for periodic problems, one can transform a spectral Laplace--Dirichlet problem in the plane with a set of periodic perforations into a family of ``model problems'' depending on a parameter η∈[0,2π]2 for quasiperiodic functions in the unit cell with a single perforation. We prove real analyticity results for the eigenvalues of the model problems upon perturbation of the shape of the perforation of the unit~cell.

APA, Harvard, Vancouver, ISO, and other styles

49

Shin, Yang Woo, and Chareles E. M. Pearce. "The BMAP/G/1 vacation queue with queue-length dependent vacation schedule." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 40, no. 2 (1998): 207–21. http://dx.doi.org/10.1017/s0334270000012479.

Full text

Abstract:

AbstractWe treat a single-server vacation queue with queue-length dependent vacation schedules. This subsumes the single-server vacation queue with exhaustive service discipline and the vacation queue with Bernoulli schedule as special cases. The lengths of vacation times depend on the number of customers in the system at the beginning of a vacation. The arrival process is a batch-Markovian arrival process (BMAP). We derive the queue-length distribution at departure epochs. By using a semi-Markov process technique, we obtain the Laplace-Stieltjes transform of the transient queue-length distrib

APA, Harvard, Vancouver, ISO, and other styles

50

Iqbal, Javed, Khurram Shabbir, and Liliana Guran. "Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method." Journal of Function Spaces 2021 (November 9, 2021): 1–9. http://dx.doi.org/10.1155/2021/8345682.

Full text

Abstract:

In this work, we combined two techniques, the variational iteration technique and the Laplace transform method, in order to solve some nonlinear-time fractional partial differential equations. Although the exact solutions may exist, we introduced the technique VITM that approximates the solutions that are difficult to find. Even a single iteration best approximates the exact solutions. The fractional derivatives being used are in the Caputo-Fabrizio sense. The reliability and efficiency of this newly introduced method is discussed in details from its numerical results and their graphical appro

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!