@article{MTMT:34314921,
	title = {Analysis of a Collision-Affected M/GI/1/ /N Retrial Queuing System Considering Negative Customers and Transmission Errors},
	url = {https://m2.mtmt.hu/api/publication/34314921},
	author = {Xu, Wei and Liu, Liwei and Li, Linhong and Wang, Zhen and Wittevrongel, Sabine},
	doi = {10.3390/math11163532},
	journal-iso = {MATHEMATICS-BASEL},
	journal = {MATHEMATICS},
	volume = {11},
	unique-id = {34314921},
	abstract = {This paper considers a retrial G-queue with collisions, transmission errors, and a finite number of sources, where service and repair time are both general distributions. The number of sources (terminals) is finite and a source cannot generate new requests until the channel (server) finishes its work, i.e., the rate at which new primary requests are generated varies inversely with the number of data frame (customer) in the system. A collision occurs when service requests arrive at a busy channel, and transmission errors prevent data frames from leaving the system after completing service. Two types of arrivals are considered. Negative customers will break down the system in the busy state and remove the customer under service. The application of our model is indicated, with a particular emphasis on communication networks such as the local-area networks (LAN) with CSMA/CD protocol. Recursive formulas have been derived to calculate the stationary joint distributions and the Laplace transform of reliability function by applying the discrete transformations method along with the supplementary variables technique (SVT). Furthermore, the comparative performance and reliability analysis have been conducted numerically. Numerical examples are provided to investigate the sensitivity of different parameters on performance measures and reliability indicators.},
	keywords = {COLLISIONS; transmission errors; Reliability indices; retrial G-queue; finite source},
	year = {2023},
	eissn = {2227-7390},
	orcid-numbers = {Wittevrongel, Sabine/0000-0001-6985-8361}
}

@article{MTMT:31881635,
	title = {Analyzing an M|M| N Queueing System with Feedback by the Method of Asymptotic Analysis},
	url = {https://m2.mtmt.hu/api/publication/31881635},
	author = {Nazarov, A. and Melikov, A. and Pavlova, E. and Aliyeva, S. and Ponomarenko, L.},
	doi = {10.1007/s10559-021-00329-x},
	journal-iso = {CYBERN SYST ANAL},
	journal = {CYBERNETICS AND SYSTEMS ANALYSIS},
	volume = {57},
	unique-id = {31881635},
	issn = {1060-0396},
	year = {2021},
	eissn = {1573-8337},
	pages = {57-65}
}

@{MTMT:32009806,
	title = {Recent Results in Finite‐source Retrial Queues with Collisions},
	url = {https://m2.mtmt.hu/api/publication/32009806},
	author = {Nazarov, Anatoly and Sztrik, János and Kvach, Anna},
	booktitle = {Queueing Theory 1 : Advanced Trends},
	doi = {10.1002/9781119755432.ch8},
	unique-id = {32009806},
	year = {2021},
	pages = {213-258}
}

@article{MTMT:31368671,
	title = {Numerical Analysis of Non-Reliable Retrial Queueing Systems with Collision and Blocking of Customers},
	url = {https://m2.mtmt.hu/api/publication/31368671},
	author = {Kuki, Attila and Sztrik, János and Bérczes, Tamás and Tóth, Ádám and Efrosinin, D.},
	doi = {10.1007/s10958-020-04850-w},
	journal-iso = {J MATH SCI},
	journal = {JOURNAL OF MATHEMATICAL SCIENCES},
	volume = {248},
	unique-id = {31368671},
	issn = {1072-3374},
	year = {2020},
	eissn = {1573-8795},
	pages = {1-13}
}

@article{MTMT:31387529,
	title = {Numerical analysis of finite source Markov retrial system with non-reliable server, collision, and impatient customers},
	url = {https://m2.mtmt.hu/api/publication/31387529},
	author = {Kuki, Attila and Bérczes, Tamás and Tóth, Ádám and Sztrik, János},
	doi = {10.33039/ami.2020.07.008},
	journal-iso = {ANN MATH INFORM},
	journal = {ANNALES MATHEMATICAE ET INFORMATICAE},
	volume = {51},
	unique-id = {31387529},
	issn = {1787-5021},
	year = {2020},
	eissn = {1787-6117},
	pages = {53-63}
}

@CONFERENCE{MTMT:32555882,
	title = {Asymptotic analysis of retrial queueing system M/GI/1 with collisions and impatient calls},
	url = {https://m2.mtmt.hu/api/publication/32555882},
	author = {Danilyuk, Elena and Moiseeva, Svetlana and Nazarov, Anatoly},
	booktitle = {International Conference on Information Technologies and Mathematical Modelling},
	unique-id = {32555882},
	year = {2019},
	pages = {230-242}
}

@inproceedings{MTMT:33144798,
	title = {On a Two-Server Queue with Consultation in Random Environment},
	url = {https://m2.mtmt.hu/api/publication/33144798},
	author = {Krishnamoorthy, Achyutha and Thekkiniyedath, Resmi and Lakshmy, Balakrishna},
	booktitle = {Information Technologies and Mathematical Modelling. Queueing Theory and Applications},
	doi = {10.1007/978-3-030-33388-1_18},
	unique-id = {33144798},
	year = {2019},
	pages = {217-229}
}

@article{MTMT:30582153,
	title = {Numerical Analysis of Retrial Queueing Systems with Conflict of Customers and an Unreliable Server},
	url = {https://m2.mtmt.hu/api/publication/30582153},
	author = {Kuki, Attila and Bérczes, Tamás and Sztrik, János and Kvach, A.},
	doi = {10.1007/s10958-019-04193-1},
	journal-iso = {J MATH SCI},
	journal = {JOURNAL OF MATHEMATICAL SCIENCES},
	volume = {237},
	unique-id = {30582153},
	issn = {1072-3374},
	year = {2019},
	eissn = {1573-8795},
	pages = {673-683}
}

@article{MTMT:30923979,
	title = {Analysis of Queueing System MMPP/M/K/K with Delayed Feedback},
	url = {https://m2.mtmt.hu/api/publication/30923979},
	author = {Melikov, Agassi and Aliyeva, Sevinj and Sztrik, János},
	doi = {10.3390/math7111128},
	journal-iso = {MATHEMATICS-BASEL},
	journal = {MATHEMATICS},
	volume = {7},
	unique-id = {30923979},
	abstract = {The model of multi-channel queuing system with Markov modulated Poisson process (MMPP) flow and delayed feedback is considered. After the customer is served completely, they will decide either to join the retrial group again for another service (feedback) with some state-dependent probability or to leave the system forever with complimentary probability. Feedback calls organize an orbit of repeated calls (r-calls). If upon arrival of an r-call all the channels of the system are busy, then it either leaves the system with some state-dependent probability or with a complementary probability returns to orbit. Methods to calculate the steady-state probabilities of the appropriate three-dimensional Markov chain as well as performance measures of investigated system are developed. Results of numerical experiments are demonstrated.},
	year = {2019},
	eissn = {2227-7390}
}

@article{MTMT:3424838,
	title = {A Survey of Recent Results in Finite-Source Retrial Queues with Collisions},
	url = {https://m2.mtmt.hu/api/publication/3424838},
	author = {Anatoly, Nazarov and Sztrik, János and Anna, Kvach},
	doi = {10.1007/978-3-319-97595-5_1},
	journal-iso = {COMMUN COMPUT INFORM SCI},
	journal = {COMMUNICATIONS IN COMPUTER AND INFORMATION SCIENCE},
	volume = {912},
	unique-id = {3424838},
	issn = {1865-0929},
	year = {2018},
	eissn = {1865-0937},
	pages = {1-15}
}

@article{MTMT:27648904,
	title = {Retrial Queue M/M/N with Impatient Customer in the Orbit},
	url = {https://m2.mtmt.hu/api/publication/27648904},
	author = {Danilyuk, E and Vygoskaya, O and Moiseeva, S},
	journal-iso = {COMMUN COMPUT INFORM SCI},
	journal = {COMMUNICATIONS IN COMPUTER AND INFORMATION SCIENCE},
	volume = {919},
	unique-id = {27648904},
	issn = {1865-0929},
	year = {2018},
	eissn = {1865-0937},
	pages = {493-504}
}

@article{MTMT:30370863,
	title = {Asymptotic Analysis of an Retrial Queueing System M|M|1 with Collisions and Impatient Calls},
	url = {https://m2.mtmt.hu/api/publication/30370863},
	author = {Danilyuk, E. Yu. and Fedorova, E. A. and Moiseeva, S. P.},
	doi = {10.1134/S0005117918120044},
	journal-iso = {AUTOM REMOTE CONTROL},
	journal = {AUTOMATION AND REMOTE CONTROL},
	volume = {79},
	unique-id = {30370863},
	issn = {0005-1179},
	year = {2018},
	eissn = {1608-3032},
	pages = {2136-2146}
}

@article{MTMT:27648899,
	title = {Retrial Queueing System of MMPP/M/2 Type with Impatient Calls in the Orbit},
	url = {https://m2.mtmt.hu/api/publication/27648899},
	author = {Vygovskaya, O and Danilyuk, E and Moiseeva, S},
	journal-iso = {COMMUN COMPUT INFORM SCI},
	journal = {COMMUNICATIONS IN COMPUTER AND INFORMATION SCIENCE},
	volume = {912},
	unique-id = {27648899},
	issn = {1865-0929},
	year = {2018},
	eissn = {1865-0937},
	pages = {387-399}
}

@article{MTMT:32556509,
	title = {Асимптотический анализ RQ-системы M|M|1 с конфликтами и нетерпеливыми заявками},
	url = {https://m2.mtmt.hu/api/publication/32556509},
	author = {Данилюк, Елена Юрьевна and Фёдорова, Екатерина Александровна and Моисеева, Светлана Петровна},
	journal-iso = {AVTOM TELEMEKH},
	journal = {AVTOMATIKA I TELEMEKHANIKA},
	volume = {1},
	unique-id = {32556509},
	issn = {0005-2310},
	year = {2018},
	pages = {44-56}
}