TY - JOUR AU - Pintér, Ákos AU - Rakaczki, Csaba TI - Indecomposability of mixed linear combinations of Bernoulli and Euler polynomials JF - PUBLICATIONES MATHEMATICAE DEBRECEN J2 - PUBL MATH DEBRECEN VL - 104 PY - 2024 IS - 1-4 SP - 159 EP - 170 PG - 12 SN - 0033-3883 DO - 10.5486/PMD.2024.9653 UR - https://m2.mtmt.hu/api/publication/34644444 ID - 34644444 LA - English DB - MTMT ER - TY - GEN AU - Bazsó, András AU - Mező, István AU - Pintér, Ákos AU - Tengely, Szabolcs TI - Singmaster-type results for Stirling numbers and some related diophantine equations PY - 2023 PG - 11 UR - https://m2.mtmt.hu/api/publication/34406059 ID - 34406059 LA - English DB - MTMT ER - TY - JOUR AU - Dujella, Andrej AU - Győry, Kálmán AU - P, Michaud-Jacobs AU - Pintér, Ákos TI - On power values of pyramidal numbers, II JF - ACTA ARITHMETICA J2 - ACTA ARITH VL - 208 PY - 2023 IS - 3 SP - 199 EP - 213 PG - 15 SN - 0065-1036 DO - 10.4064/aa211213-27-7 UR - https://m2.mtmt.hu/api/publication/34123940 ID - 34123940 LA - English DB - MTMT ER - TY - GEN AU - Bazsó, András AU - D, Kreso AU - F, Luca AU - Pintér, Ákos AU - Rakaczki, Csaba TI - On equal values of products and power sums of consecutive elements in an arithmetic progression PY - 2023 PG - 20 UR - https://m2.mtmt.hu/api/publication/33646124 ID - 33646124 LA - English DB - MTMT ER - TY - CHAP AU - Sztrik, János AU - Tóth, Ádám AU - Pintér, Ákos AU - Bács, Zoltán ED - V. M., Vishnevskogo ED - K. E., Samujlova TI - Performance analysis of a finite-source retrial queueing system with two-way communication, catastrophic breakdown and impatient customers using simulation T2 - Proceedings of the 25th International Scientific Conference on Distributed Computer and Communication Networks: Control, Computation, Communications (DCCN-2022) PB - Peoples’ Friendship University of Russia CY - Moscow SN - 9785209114567 PY - 2022 SP - 129 EP - 134 PG - 6 UR - https://m2.mtmt.hu/api/publication/33700009 ID - 33700009 LA - English DB - MTMT ER - TY - CHAP AU - Sztrik, János AU - Tóth, Ádám AU - Pintér, Ákos AU - Bács, Zoltán ED - Kozyrev, Dmitry V. ED - Samouylov, Konstantin E. ED - Vishnevskiy, Vladimir M. TI - Investigation of a Finite-Source Retrial Queueing System with Two-Way Communication, Catastrophic Breakdown and Impatient Customers Using Simulation T2 - Distributed Computer and Communication Networks: Control, Computation, Communications PB - Springer Netherlands CY - Cham SN - 9783031232077 T3 - Lecture Notes in Computer Science, ISSN 0302-9743 ; 13766. PY - 2022 SP - 231 EP - 242 PG - 12 DO - 10.1007/978-3-031-23207-7_18 UR - https://m2.mtmt.hu/api/publication/33699984 ID - 33699984 AB - 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. LA - English DB - MTMT ER - TY - JOUR AU - Sztrik, János AU - Tóth, Ádám AU - Pintér, Ákos AU - Bács, Zoltán TI - The Effect of Operation Time of the Server on the Performance of Finite-Source Retrial Queues with Two-Way Communications to the Orbit JF - JOURNAL OF MATHEMATICAL SCIENCES (NEW YORK) J2 - J MATH SCI (NEW YORK) VL - 267 PY - 2022 IS - 2 SP - 196 EP - 204 PG - 9 SN - 1072-3374 DO - 10.1007/s10958-022-06124-z UR - https://m2.mtmt.hu/api/publication/33227015 ID - 33227015 LA - English DB - MTMT ER - TY - CHAP AU - Sztrik, János AU - Tóth, Ádám AU - Pintér, Ákos AU - Bács, Zoltán ED - Nazarov, A A ED - Moiseeva, S P ED - Moiseev, A N TI - Analysis of finite-source retrial queueing systems with impatient customers and catastrophic breakdowns using simulation T2 - Informational technologies and mathematical modelling (ITMM-2021): Proceedings of the 20th International Conference named after A. F. Terpugov (2021 December, 1-5) PB - Tomsk State University (TGU) CY - Tomsk SN - 9785907572201 PY - 2022 SP - 118 EP - 123 PG - 6 UR - https://m2.mtmt.hu/api/publication/33193401 ID - 33193401 LA - English DB - MTMT ER - TY - GEN AU - Sztrik, János AU - Tóth, Ádám AU - Pintér, Ákos AU - Bács, Zoltán TI - Performance analysis of a finite-source retrial queueing system with two-way communication, catastrophic breakdown and impatient customers using simulation PY - 2022 UR - https://m2.mtmt.hu/api/publication/33118502 ID - 33118502 LA - English DB - MTMT ER - TY - CHAP AU - Sztrik, János AU - Tóth, Ádám AU - Pintér, Ákos AU - Bács, Zoltán ED - Moiseev, Alexander ED - Nazarov, Anatoly ED - Dudin, Alexander TI - Simulation of Finite-Source Retrial Queueing Systems with Impatient Customers Using Different Failure Modes T2 - Information Technologies and Mathematical Modelling. Queueing Theory and Applications PB - Springer Netherlands CY - Cham SN - 9783031093319 T3 - Communications in Computer and Information Science, ISSN 1865-0929 ; 1605. PY - 2022 SP - 16 EP - 27 PG - 12 DO - 10.1007/978-3-031-09331-9_2 UR - https://m2.mtmt.hu/api/publication/33042199 ID - 33042199 AB - 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. LA - English DB - MTMT ER -