@article{MTMT:34832881,
	title = {Stationary analysis of a constrained Markov fluid model with two buffers},
	url = {https://m2.mtmt.hu/api/publication/34832881},
	author = {Buchholz, Peter and Mészáros, András Gergely and Telek, Miklós},
	doi = {10.1080/15326349.2024.2339247},
	journal-iso = {STOCH MODELS},
	journal = {STOCHASTIC MODELS},
	unique-id = {34832881},
	issn = {1532-6349},
	abstract = {Abstract.: We consider Markov fluid models with two infinite buffers, whose fluid rates ensure that the fluid level of buffer 1 is never larger than the one of buffer 2. For the model, we derive the system of PDEs describing the transient behavior and expressions for the stationary analysis in the Laplace domain. Examples for the application of the model in the context of network access control are presented. Numerical results are compared with detailed simulation results to show that the numerical approach computes the required measures with sufficient accuracy. © 2024 Taylor & Francis Group, LLC.},
	keywords = {Partial differential equations; Laplace transforms; LAPLACE TRANSFORM; Transient behavior; Access control; Markov fluid models; Markov fluid model; TRANSIENT EXPRESSION; Stationary analysis; Stationary analysis; Infinite buffer; Fluid level; two infinite fluid buffers; Fluid rates; Infinite fluids; Laplace domains; Two infinite fluid buffer},
	year = {2024},
	eissn = {1532-4214},
	orcid-numbers = {Telek, Miklós/0000-0001-9600-6084}
}

@article{MTMT:34785835,
	title = {Numerical inverse transformation of double sided Laplace transform with parameter optimization},
	url = {https://m2.mtmt.hu/api/publication/34785835},
	author = {Mészáros, András Gergely and Telek, Miklós},
	doi = {10.1016/j.amc.2024.128713},
	journal-iso = {APPL MATH COMPUT},
	journal = {APPLIED MATHEMATICS AND COMPUTATION},
	volume = {474},
	unique-id = {34785835},
	issn = {0096-3003},
	abstract = {There are efficient numerical inverse Laplace transformation (NILT) procedures for double sided Laplace transforms (DSLT), which are based on some hyperparameters. If those hyperparameters are set properly, the computed inverse is accurate, while using an incorrect hyperparameter results in a completely incorrect inverse. To the best of the authors knowledge, there is no NILT procedure for DSLT, which automatically sets the hyperparameters based on the DSLT and the point where the inverse needs to be computed. In this paper we propose a procedure which automatically optimizes the hyperparameters of the NILT method and this way it eliminates the unforeseen dependency of the computed inverse on the inherent hyperparameters. © 2024 Elsevier Inc.},
	keywords = {Inverse problems; Laplace transforms; PARAMETER OPTIMIZATION; PARAMETER OPTIMIZATION; Transformation methods; Hyper-parameter; Laplace transformations; Inverse transformations; numerical Inverse Laplace transformation; numerical Inverse Laplace transformation; inverse transforms; Double sided Laplace transform; Double sided; Double sided laplace transform},
	year = {2024},
	eissn = {1873-5649},
	orcid-numbers = {Telek, Miklós/0000-0001-9600-6084}
}

@article{MTMT:34149140,
	title = {Moments based matrix representation of Markov and rational arrival processes with reduced rank marginal},
	url = {https://m2.mtmt.hu/api/publication/34149140},
	author = {Mészáros, András Gergely and Telek, Miklós},
	doi = {10.1080/15326349.2023.2253289},
	journal-iso = {STOCH MODELS},
	journal = {STOCHASTIC MODELS},
	unique-id = {34149140},
	issn = {1532-6349},
	year = {2024},
	eissn = {1532-4214},
	orcid-numbers = {Telek, Miklós/0000-0001-9600-6084}
}

@article{MTMT:32242266,
	title = {Correction to: Transient analysis of piecewise homogeneous Markov fluid models (Annals of Operations Research, (2020), 10.1007/s10479-020-03831-1)},
	url = {https://m2.mtmt.hu/api/publication/32242266},
	author = {Almousa, Salah Al-Deen Afif Said and Horváth, Gábor and Telek, Miklós},
	doi = {10.1007/s10479-021-03934-3},
	journal-iso = {ANN OPER RES},
	journal = {ANNALS OF OPERATIONS RESEARCH},
	volume = {332},
	unique-id = {32242266},
	issn = {0254-5330},
	abstract = {Affiliation for author Miklos Telek was missing in the original publication and should be read as: Department of Networked Systems and Services, Budapest University of Technology and Economics, Budapest, Hungary and MTA-BME Information Systems Reseach Group, Hungary. Along with Department of Networked Systems and Services, Budapest University of Technology and Economics, Budapest, Hungary. Original article has been updated. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.},
	year = {2024},
	eissn = {1572-9338},
	pages = {1251-1251},
	orcid-numbers = {Horváth, Gábor/0000-0003-3097-1273; Telek, Miklós/0000-0001-9600-6084}
}

@article{MTMT:34448296,
	title = {Stochastic performance analysis of a time-of-arrival quantum random number generator},
	url = {https://m2.mtmt.hu/api/publication/34448296},
	author = {Schranz, Ágoston and Solymos, Balázs and Telek, Miklós},
	doi = {10.1049/qtc2.12080},
	journal = {IET Quantum Communication},
	unique-id = {34448296},
	abstract = {The performance analysis of a quantum random number generator (QRNG), operating based on the interarrival time differences between consecutive photon detections from a coherent light source, is presented. The proposed analysis approach accurately takes into account the physical properties of the single-photon detection systems, such as discretised time measurement, the correlations induced by the asynchronous arrival of photons with respect to the time resolution grid, and the dead time after observations and provides the QRNG's relevant performance measures, such as the joint distribution of bits, lag-r correlations, the bit generation overhead and the bit generation time. Analysis results are verified by computer simulations. © 2023 The Authors. IET Quantum Communication published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology.},
	keywords = {ENTROPY; Probability; Random processes; Random processes; quantum optics; quantum optics; Photons; Photons; Number theory; stochastic systems; Particle beams; Light sources; Elementary particle sources; Photon detection; Inter-arrival time; Random number generation; Time-differences; Times of arrivals; Analysis approach; stochastics; quantum random number generators; Performances analysis; Time-of- arrivals; light coherence; Coherent light sources},
	year = {2023},
	eissn = {2632-8925},
	orcid-numbers = {Schranz, Ágoston/0000-0002-2058-9030; Telek, Miklós/0000-0001-9600-6084}
}

@inproceedings{MTMT:34342460,
	title = {Analysis of a Two-State Markov Fluid Model with 2 Buffers},
	url = {https://m2.mtmt.hu/api/publication/34342460},
	author = {Buchholz, P. and Mészáros, András Gergely and Telek, Miklós},
	doi = {10.1007/978-3-031-43185-2_4},
	volume = {14231 LNCS},
	unique-id = {34342460},
	year = {2023},
	pages = {49-64},
	orcid-numbers = {Telek, Miklós/0000-0001-9600-6084}
}

@inproceedings{MTMT:34342456,
	title = {M/G/1 Queue with State Dependent Service Times},
	url = {https://m2.mtmt.hu/api/publication/34342456},
	author = {Saffer, Z. and Grill, K. and Telek, Miklós},
	doi = {10.1007/978-3-031-43185-2_6},
	volume = {14231 LNCS},
	unique-id = {34342456},
	year = {2023},
	pages = {81-95},
	orcid-numbers = {Telek, Miklós/0000-0001-9600-6084}
}

@article{MTMT:34085465,
	title = {Optimizing Pilot Spacing in MU-MIMO Systems Operating Over Aging Channels},
	url = {https://m2.mtmt.hu/api/publication/34085465},
	author = {Fodor, Sebastian and Fodor, Gábor and Gurgunoglu, Doga and Telek, Miklós},
	doi = {10.1109/TCOMM.2023.3261384},
	journal-iso = {IEEE T COMMUN},
	journal = {IEEE TRANSACTIONS ON COMMUNICATIONS},
	volume = {71},
	unique-id = {34085465},
	issn = {0090-6778},
	abstract = {In the uplink of multiuser multiple input multiple output (MU-MIMO) systems operating over aging channels, pilot spacing is crucial for acquiring channel state information and achieving high signal-to-interference-plus-noise ratio (SINR). Somewhat surprisingly, very few works examine the impact of pilot spacing on the correlation structure of subsequent channel estimates and the resulting quality of channel state information considering channel aging. In this paper, we consider a fast-fading environment characterized by its exponentially decaying autocorrelation function, and model pilot spacing as a sampling problem to capture the inherent trade-off between the quality of channel state information and the number of symbols available for information carrying data symbols. We first establish a quasi-closed form for the achievable deterministic equivalent SINR when the channel estimation algorithm utilizes multiple pilot signals. Next, we establish upper bounds on the achievable SINR and spectral efficiency, as a function of pilot spacing, which helps to find the optimum pilot spacing within a limited search space. Our key insight is that to maximize the achievable SINR and the spectral efficiency of MU-MIMO systems, proper pilot spacing must be applied to control the impact of the aging channel and to tune the trade-off between pilot and data symbols.},
	keywords = {PERFORMANCE; PREDICTION; Aging; simulation; INTERFERENCE; Signal to noise ratio; Channel estimation; Channel estimation; Estimation theory; fading channels; Multiple input multiple output; wireless communication; Uplink; Engineering, Electrical & Electronic; autoregressive processes; Massive MIMO; symbols; AUTOREGRESSIVE SIGNALS},
	year = {2023},
	eissn = {1558-0857},
	pages = {3708-3720},
	orcid-numbers = {Fodor, Gábor/0000-0002-2289-3159; Gurgunoglu, Doga/0000-0001-5048-331X; Telek, Miklós/0000-0001-9600-6084}
}

@article{MTMT:33091248,
	title = {Numerical inverse Laplace transformation beyond the Abate–Whitt framework},
	url = {https://m2.mtmt.hu/api/publication/33091248},
	author = {Horváth, Illés and Mészáros, András Gergely and Telek, Miklós},
	doi = {10.1016/j.cam.2022.114651},
	journal-iso = {J COMPUT APPL MATH},
	journal = {JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS},
	volume = {418},
	unique-id = {33091248},
	issn = {0377-0427},
	abstract = {Among the numerical inverse Laplace transformation (NILT) methods, those that belong to the Abate–Whitt framework (AWF) are considered to be the most efficient ones currently. It is a characteristic feature of the AWF NILT procedures that they are independent of the transform function and the time point of interest.
		
		In this work we propose an NILT procedure that goes beyond this limitation and optimize the accuracy of the NILT utilizing also the transform function and the time point of interest.},
	keywords = {Numerical methods; Inverse problems; Laplace transforms; Transformation methods; Laplace transformations; Euler method; Euler's method; Shifting; numerical Inverse Laplace transformation; Time points; Abate–Whitt framework; CME method},
	year = {2023},
	eissn = {1879-1778},
	orcid-numbers = {Telek, Miklós/0000-0001-9600-6084}
}

@CONFERENCE{MTMT:33666829,
	title = {Moments based characterization of MAPs with reduced rank marginal},
	url = {https://m2.mtmt.hu/api/publication/33666829},
	author = {Mészáros, András Gergely and Telek, Miklós},
	booktitle = {Proceedings of the 11th Matrix-Analytic Methods in Stochastic Models conference (MAM11)},
	unique-id = {33666829},
	year = {2022},
	pages = {1-5},
	orcid-numbers = {Telek, Miklós/0000-0001-9600-6084}
}