TY  - JOUR
AU  - Xu, Wei
AU  - Liu, Liwei
AU  - Li, Linhong
AU  - Wang, Zhen
AU  - Wittevrongel, Sabine
TI  - Analysis of a Collision-Affected M/GI/1/ /N Retrial Queuing System Considering Negative Customers and Transmission Errors
JF  - MATHEMATICS
J2  - MATHEMATICS-BASEL
VL  - 11
PY  - 2023
IS  - 16
PG  - 23
SN  - 2227-7390
DO  - 10.3390/math11163532
UR  - https://m2.mtmt.hu/api/publication/34314921
ID  - 34314921
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Nazarov, A.
AU  - Melikov, A.
AU  - Pavlova, E.
AU  - Aliyeva, S.
AU  - Ponomarenko, L.
TI  - Analyzing an M|M| N Queueing System with Feedback by the Method of Asymptotic Analysis
JF  - CYBERNETICS AND SYSTEMS ANALYSIS
J2  - CYBERN SYST ANAL
VL  - 57
PY  - 2021
IS  - 1
SP  - 57
EP  - 65
PG  - 9
SN  - 1060-0396
DO  - 10.1007/s10559-021-00329-x
UR  - https://m2.mtmt.hu/api/publication/31881635
ID  - 31881635
N1  - National Research Tomsk State University, Tomsk, Russian Federation            
            Institute of Control Systems, Azerbaijan National Academy of Sciences, Baku, Azerbaijan            
            Baku State University, Baku, Azerbaijan            
            International Research and Training Center for Information Technologies and Systems of the National Academy of Sciences of Ukraine and Ministry of Education and Science of Ukraine, Kyiv, Ukraine            
            Export Date: 1 March 2022            
            Correspondence Address: Nazarov, A.; National Research Tomsk State UniversityRussian Federation; email: nazarov.tsu@gmail.com
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Nazarov, Anatoly
AU  - Sztrik, János
AU  - Kvach, Anna
ED  - Anisimov, Vladimir
ED  - Limnios, Nikolaos
TI  - Recent Results in Finite‐source Retrial Queues with Collisions
T2  - Queueing Theory 1 : Advanced Trends
PB  - ISTE Editions
CY  - London
SN  - 9781789450019
PY  - 2021
SP  - 213
EP  - 258
PG  - 46
DO  - 10.1002/9781119755432.ch8
UR  - https://m2.mtmt.hu/api/publication/32009806
ID  - 32009806
N1  - National Research Tomsk State University, Russian Federation            
            University of Debrecen, Hungary            
            Cited By :1            
            Export Date: 17 May 2023
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kuki, Attila
AU  - Sztrik, János
AU  - Bérczes, Tamás
AU  - Tóth, Ádám
AU  - Efrosinin, D.
TI  - Numerical Analysis of Non-Reliable Retrial Queueing Systems with Collision and Blocking of Customers
JF  - JOURNAL OF MATHEMATICAL SCIENCES
J2  - J MATH SCI
VL  - 248
PY  - 2020
IS  - 1
SP  - 1
EP  - 13
PG  - 13
SN  - 1072-3374
DO  - 10.1007/s10958-020-04850-w
UR  - https://m2.mtmt.hu/api/publication/31368671
ID  - 31368671
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kuki, Attila
AU  - Bérczes, Tamás
AU  - Tóth, Ádám
AU  - Sztrik, János
TI  - Numerical analysis of finite source Markov retrial system with non-reliable server, collision, and impatient customers
JF  - ANNALES MATHEMATICAE ET INFORMATICAE
J2  - ANN MATH INFORM
VL  - 51
PY  - 2020
SP  - 53
EP  - 63
PG  - 11
SN  - 1787-5021
DO  - 10.33039/ami.2020.07.008
UR  - https://m2.mtmt.hu/api/publication/31387529
ID  - 31387529
LA  - English
DB  - MTMT
ER  - 

TY  - CONF
AU  - Danilyuk, Elena
AU  - Moiseeva, Svetlana
AU  - Nazarov, Anatoly
TI  - Asymptotic analysis of retrial queueing system M/GI/1 with collisions and impatient calls
T2  - International Conference on Information Technologies and Mathematical Modelling
PB  - Springer Netherlands
PY  - 2019
SP  - 230
EP  - 242
PG  - 13
UR  - https://m2.mtmt.hu/api/publication/32555882
ID  - 32555882
LA  - English
DB  - MTMT
ER  - 

TY  - CHAP
AU  - Krishnamoorthy, Achyutha
AU  - Thekkiniyedath, Resmi
AU  - Lakshmy, Balakrishna
ED  - Moiseev, Alexander
ED  - Nazarov, Anatoly
ED  - Dudin, Alexander
TI  - On a Two-Server Queue with Consultation in Random Environment
T2  - Information Technologies and Mathematical Modelling. Queueing Theory and Applications
PB  - Springer Netherlands
CY  - Cham
SN  - 9783030333874
PY  - 2019
SP  - 217
EP  - 229
PG  - 13
DO  - 10.1007/978-3-030-33388-1_18
UR  - https://m2.mtmt.hu/api/publication/33144798
ID  - 33144798
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Kuki, Attila
AU  - Bérczes, Tamás
AU  - Sztrik, János
AU  - Kvach, A.
TI  - Numerical Analysis of Retrial Queueing Systems with Conflict of Customers and an Unreliable Server
JF  - JOURNAL OF MATHEMATICAL SCIENCES
J2  - J MATH SCI
VL  - 237
PY  - 2019
IS  - 5
SP  - 673
EP  - 683
PG  - 11
SN  - 1072-3374
DO  - 10.1007/s10958-019-04193-1
UR  - https://m2.mtmt.hu/api/publication/30582153
ID  - 30582153
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Melikov, Agassi
AU  - Aliyeva, Sevinj
AU  - Sztrik, János
TI  - Analysis of Queueing System MMPP/M/K/K with Delayed Feedback
JF  - MATHEMATICS
J2  - MATHEMATICS-BASEL
VL  - 7
PY  - 2019
IS  - 11
PG  - 14
SN  - 2227-7390
DO  - 10.3390/math7111128
UR  - https://m2.mtmt.hu/api/publication/30923979
ID  - 30923979
N1  - 276475
AB  - 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.
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Anatoly, Nazarov
AU  - Sztrik, János
AU  - Anna, Kvach
TI  - A Survey of Recent Results in Finite-Source Retrial Queues with Collisions
JF  - COMMUNICATIONS IN COMPUTER AND INFORMATION SCIENCE
J2  - COMMUN COMPUT INFORM SCI
VL  - 912
PY  - 2018
SP  - 1
EP  - 15
PG  - 15
SN  - 1865-0929
DO  - 10.1007/978-3-319-97595-5_1
UR  - https://m2.mtmt.hu/api/publication/3424838
ID  - 3424838
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Danilyuk, E
AU  - Vygoskaya, O
AU  - Moiseeva, S
TI  - Retrial Queue M/M/N with Impatient Customer in the Orbit
JF  - COMMUNICATIONS IN COMPUTER AND INFORMATION SCIENCE
J2  - COMMUN COMPUT INFORM SCI
VL  - 919
PY  - 2018
SP  - 493
EP  - 504
PG  - 12
SN  - 1865-0929
UR  - https://m2.mtmt.hu/api/publication/27648904
ID  - 27648904
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Danilyuk, E. Yu.
AU  - Fedorova, E. A.
AU  - Moiseeva, S. P.
TI  - Asymptotic Analysis of an Retrial Queueing System M|M|1 with Collisions and Impatient Calls
JF  - AUTOMATION AND REMOTE CONTROL
J2  - AUTOM REMOTE CONTROL
VL  - 79
PY  - 2018
IS  - 12
SP  - 2136
EP  - 2146
PG  - 11
SN  - 0005-1179
DO  - 10.1134/S0005117918120044
UR  - https://m2.mtmt.hu/api/publication/30370863
ID  - 30370863
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Vygovskaya, O
AU  - Danilyuk, E
AU  - Moiseeva, S
TI  - Retrial Queueing System of MMPP/M/2 Type with Impatient Calls in the Orbit
JF  - COMMUNICATIONS IN COMPUTER AND INFORMATION SCIENCE
J2  - COMMUN COMPUT INFORM SCI
VL  - 912
PY  - 2018
SP  - 387
EP  - 399
PG  - 13
SN  - 1865-0929
UR  - https://m2.mtmt.hu/api/publication/27648899
ID  - 27648899
LA  - English
DB  - MTMT
ER  - 

TY  - JOUR
AU  - Данилюк, Елена Юрьевна
AU  - Фёдорова, Екатерина Александровна
AU  - Моисеева, Светлана Петровна
TI  - Асимптотический анализ RQ-системы M|M|1 с конфликтами и нетерпеливыми заявками
JF  - AVTOMATIKA I TELEMEKHANIKA
J2  - AVTOM TELEMEKH
VL  - 1
PY  - 2018
IS  - 12
SP  - 44
EP  - 56
PG  - 13
SN  - 0005-2310
UR  - https://m2.mtmt.hu/api/publication/32556509
ID  - 32556509
LA  - Hungarian
DB  - MTMT
ER  -