@article{MTMT:34644444, title = {Indecomposability of mixed linear combinations of Bernoulli and Euler polynomials}, url = {https://m2.mtmt.hu/api/publication/34644444}, author = {Pintér, Ákos and Rakaczki, Csaba}, doi = {10.5486/PMD.2024.9653}, journal-iso = {PUBL MATH DEBRECEN}, journal = {PUBLICATIONES MATHEMATICAE DEBRECEN}, volume = {104}, unique-id = {34644444}, issn = {0033-3883}, year = {2024}, eissn = {2064-2849}, pages = {159-170} } @misc{MTMT:34406059, title = {Singmaster-type results for Stirling numbers and some related diophantine equations}, url = {https://m2.mtmt.hu/api/publication/34406059}, author = {Bazsó, András and Mező, István and Pintér, Ákos and Tengely, Szabolcs}, unique-id = {34406059}, year = {2023} } @article{MTMT:34123940, title = {On power values of pyramidal numbers, II}, url = {https://m2.mtmt.hu/api/publication/34123940}, author = {Dujella, Andrej and Győry, Kálmán and P, Michaud-Jacobs and Pintér, Ákos}, doi = {10.4064/aa211213-27-7}, journal-iso = {ACTA ARITH}, journal = {ACTA ARITHMETICA}, volume = {208}, unique-id = {34123940}, issn = {0065-1036}, keywords = {binomial Thue equations; pyramidal; Frey curve; perfect power; modular method; level-lowering}, year = {2023}, eissn = {1730-6264}, pages = {199-213} } @misc{MTMT:33646124, title = {On equal values of products and power sums of consecutive elements in an arithmetic progression}, url = {https://m2.mtmt.hu/api/publication/33646124}, author = {Bazsó, András and D, Kreso and F, Luca and Pintér, Ákos and Rakaczki, Csaba}, unique-id = {33646124}, year = {2023} } @inproceedings{MTMT:33700009, title = {Performance analysis of a finite-source retrial queueing system with two-way communication, catastrophic breakdown and impatient customers using simulation}, url = {https://m2.mtmt.hu/api/publication/33700009}, author = {Sztrik, János and Tóth, Ádám and Pintér, Ákos and Bács, Zoltán}, booktitle = {Proceedings of the 25th International Scientific Conference on Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN-2022)}, unique-id = {33700009}, year = {2022}, pages = {129-134} } @inproceedings{MTMT:33699984, title = {Investigation of a Finite-Source Retrial Queueing System with Two-Way Communication, Catastrophic Breakdown and Impatient Customers Using Simulation}, url = {https://m2.mtmt.hu/api/publication/33699984}, author = {Sztrik, János and Tóth, Ádám and Pintér, Ákos and Bács, Zoltán}, booktitle = {Distributed Computer and Communication Networks: Control, Computation, Communications}, doi = {10.1007/978-3-031-23207-7_18}, unique-id = {33699984}, abstract = {An M/M/1//N retrial queueing system with two-way communication to the infinite source and impatient customers in the orbit is considered in the paper. There is a finite source in which the primary or regular customers are coming, while requests from the infinite source are the secondary customers. Because of not having waiting queues, the service of an arriving, primary customer begins immediately. Otherwise, in the case of a busy server, the primary customers are forwarded to the orbit waiting an exponentially distributed random time to try to reach the service unit. When the service unit is in an idle state, it may call a customer from the infinite source for service. All requests possess an impatience property resulting in an earlier departure from the system through the orbit if they wait too much for being served. Besides, the service unit is supposed to break down according to several distributions which have a specialty in removing all the customers located in the system. In the case of a faulty state, blocking is applied not allowing the customers into the system until the service unit fully recovers. This work concentrates on examining the effect of those distributions on several performance measures like the distribution of the number of customers in the system, and the probability of a primary customer departing because of catastrophe. The obtained results are graphically realized to show the differences and curiosities among the used parameter settings of the various distributions.}, year = {2022}, pages = {231-242} } @article{MTMT:33227015, title = {The Effect of Operation Time of the Server on the Performance of Finite-Source Retrial Queues with Two-Way Communications to the Orbit}, url = {https://m2.mtmt.hu/api/publication/33227015}, author = {Sztrik, János and Tóth, Ádám and Pintér, Ákos and Bács, Zoltán}, doi = {10.1007/s10958-022-06124-z}, journal-iso = {J MATH SCI (NEW YORK)}, journal = {JOURNAL OF MATHEMATICAL SCIENCES (NEW YORK)}, volume = {267}, unique-id = {33227015}, issn = {1072-3374}, year = {2022}, eissn = {1573-8795}, pages = {196-204} } @inbook{MTMT:33193401, title = {Analysis of finite-source retrial queueing systems with impatient customers and catastrophic breakdowns using simulation}, url = {https://m2.mtmt.hu/api/publication/33193401}, author = {Sztrik, János and Tóth, Ádám and Pintér, Ákos and Bács, Zoltán}, booktitle = {Informational technologies and mathematical modelling (ITMM-2021): Proceedings of the 20th International Conference named after A. F. Terpugov (2021 December, 1-5)}, unique-id = {33193401}, year = {2022}, pages = {118-123} } @misc{MTMT:33118502, title = {Performance analysis of a finite-source retrial queueing system with two-way communication, catastrophic breakdown and impatient customers using simulation}, url = {https://m2.mtmt.hu/api/publication/33118502}, author = {Sztrik, János and Tóth, Ádám and Pintér, Ákos and Bács, Zoltán}, unique-id = {33118502}, year = {2022} } @{MTMT:33042199, title = {Simulation of Finite-Source Retrial Queueing Systems with Impatient Customers Using Different Failure Modes}, url = {https://m2.mtmt.hu/api/publication/33042199}, author = {Sztrik, János and Tóth, Ádám and Pintér, Ákos and Bács, Zoltán}, booktitle = {Information Technologies and Mathematical Modelling. Queueing Theory and Applications}, doi = {10.1007/978-3-031-09331-9_2}, unique-id = {33042199}, abstract = {In this paper, a finite-source retrial queueing system is considered with impatient customers and catastrophic breakdowns. The characteristic of the system includes collision which occurs when a new job arrives in the system and the service facility is occupied with a job, they will collide. Both jobs will be forwarded to the virtual waiting room the so-called orbit. Here, the customers initiate other attempts to reach the server after a random time. But they give up retrying after staying in the orbit a while and leave the system which is the impatient attribute of the customers. In case of a negative event, a catastrophic breakdown takes place meaning that all the customers at the server and in the orbit depart from the system. The novelty of this paper is to investigate that feature in a collision environment with impatient customers using different distributions of the service time.}, year = {2022}, pages = {16-27} }