Main Probability Characteristics of the Queuing System $G^k|G|1$
For the queuing system G κ|G|1 with batch arrivals of calls, we present the distributions of the following characteristics: the length of a busy period, queue length in transient and stationary modes of the queuing system, total idle time of the queuing system, virtual waiting time to the beginning...
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| Date: | 2001 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
2001
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/4354 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510486530883584 |
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| author | Yezhov, I. I. Kadankov, V. F. Ежов, И. И. Каданков, В. Ф. Ежов, И. И. Каданков, В. Ф. |
| author_facet | Yezhov, I. I. Kadankov, V. F. Ежов, И. И. Каданков, В. Ф. Ежов, И. И. Каданков, В. Ф. |
| author_sort | Yezhov, I. I. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:27:17Z |
| description | For the queuing system G κ|G|1 with batch arrivals of calls, we present the distributions of the following characteristics: the length of a busy period, queue length in transient and stationary modes of the queuing system, total idle time of the queuing system, virtual waiting time to the beginning of the service, input stream of calls, output stream of served calls, etc. |
| first_indexed | 2026-03-24T02:57:46Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4354 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:57:46Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/f4/7f14f54b4547d1d07a3385018b520cf4.pdf |
| spelling | umjimathkievua-article-43542020-03-18T20:27:17Z Main Probability Characteristics of the Queuing System $G^k|G|1$ Основные вероятностные характеристики системы обслуживания $G^k|G|1$ Yezhov, I. I. Kadankov, V. F. Ежов, И. И. Каданков, В. Ф. Ежов, И. И. Каданков, В. Ф. For the queuing system G κ|G|1 with batch arrivals of calls, we present the distributions of the following characteristics: the length of a busy period, queue length in transient and stationary modes of the queuing system, total idle time of the queuing system, virtual waiting time to the beginning of the service, input stream of calls, output stream of served calls, etc. Для систем обслуговування $G^k|G|1$ з груповим надходженням вимог наведено розподіли таких характеристик: тривалості періоду зайнятості, довжини черги в перехідному і стаціонарному режимах функціонування системи обслуговування, сумарного часу простою системи обслуговування, віртуального часу чекання початку обслуговування, вхідного потоку вимог і вихідного потоку обслугованих вимог та інших. Institute of Mathematics, NAS of Ukraine 2001-10-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4354 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 10 (2001); 1343-1357 Український математичний журнал; Том 53 № 10 (2001); 1343-1357 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4354/5412 https://umj.imath.kiev.ua/index.php/umj/article/view/4354/5413 Copyright (c) 2001 Yezhov I. I.; Kadankov V. F. |
| spellingShingle | Yezhov, I. I. Kadankov, V. F. Ежов, И. И. Каданков, В. Ф. Ежов, И. И. Каданков, В. Ф. Main Probability Characteristics of the Queuing System $G^k|G|1$ |
| title | Main Probability Characteristics of the Queuing System $G^k|G|1$ |
| title_alt | Основные вероятностные характеристики системы обслуживания $G^k|G|1$ |
| title_full | Main Probability Characteristics of the Queuing System $G^k|G|1$ |
| title_fullStr | Main Probability Characteristics of the Queuing System $G^k|G|1$ |
| title_full_unstemmed | Main Probability Characteristics of the Queuing System $G^k|G|1$ |
| title_short | Main Probability Characteristics of the Queuing System $G^k|G|1$ |
| title_sort | main probability characteristics of the queuing system $g^k|g|1$ |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4354 |
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