| 000 | 03010naa a2200361 c 4500 | ||
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| 001 | vtls000788774 | ||
| 003 | RU-ToGU | ||
| 005 | 20221130124429.0 | ||
| 007 | cr | | ||
| 008 | 201123s2018 sz fs 100 0 eng d | ||
| 024 | 7 |
_a10.1007/978-3-319-97595-5_14 _2doi |
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| 035 | _ato000788774 | ||
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_aRU-ToGU _brus _cRU-ToGU |
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| 100 | 1 |
_aNazarov, Anatoly A. _945813 |
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| 245 | 1 | 0 |
_aAsymptotic sojourn time analysis of finite-source M/M/1 retrial queuing system with two-way communication _cA. A. Nazarov, J. Sztrik, A. Kvach |
| 336 | _aТекст | ||
| 337 | _aэлектронный | ||
| 504 | _aБиблиогр.: 20 назв. | ||
| 520 | 3 | _aThe aim of the present paper is to investigate a retrial queuing system M/M/1 with a finite number of sources and two-way communication. Each source can generate a request after an exponentially distributed time and will not generate another one until the previous call return to the source. If an incoming customer finds the server idle its service starts. Otherwise, if the server is busy an arriving (primary or repeated) customer moves into the orbit and after some exponentially distributed time it retries to enter the server. When the server is idle it generates an outgoing call after an exponentially distributed time with different parameters to the customers in the orbit and to the sources, respectively. The service times of the incoming and outgoing calls are exponentially distributed with different rates. Applying method of asymptotic analysis under the condition of unlimited growing number of sources it is proved that the limiting sojourn/waiting time of the customer in the system follows a generalized exponential distribution with given parameters. In addition, the asymptotic average number of customers in the orbit is obtained. | |
| 653 | _acистемы массового обслуживания с конечным источником | ||
| 653 | _aцентры обработки вызовов | ||
| 653 | _aдвусторонняя связь | ||
| 653 | _aасимптотический анализ | ||
| 653 | _aраспределение времени пребывания | ||
| 655 | 4 |
_aстатьи в сборниках _9713576 |
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| 700 | 1 |
_aSztrik, János _9497581 |
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| 700 | 1 |
_aKvach, Anna _9481762 |
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| 773 | 0 |
_tInformation Technologies and Mathematical Modelling. Queueing Theory and Applications : 17th International Conference, ITMM 2018, named after A. F. Terpugov and 12th Workshop on Retrial Queues and Related Topics, WRQ 2018, Tomsk, Russia, September 10-15, 2018 : selected papers _dCham, 2018 _gP. 172-183 _kCommunications in Computer and Information Science ; vol. 912 _z9783319975948 |
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| 852 | 4 | _aRU-ToGU | |
| 856 | 4 | _uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000788774 | |
| 908 | _aстатья | ||
| 999 | _c473557 | ||