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On Single Server Queue with Batch Arrivalsдоклад на конференции
- Авторы: Sobolev V.N., Condratenko A.E.
- Международная Конференция : The 1st International Online Conference on Mathematics and Applications (IOCMA 2023)
- Даты проведения конференции: 1-15 мая 2023
- Дата доклада: 1 мая 2023
- Тип доклада: Стендовый
- Докладчик: Condratenko A.E.
- Место проведения: Basel, Switzerland, Швейцария
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Аннотация доклада:
This paper deals with a queuing system with general renewal arrivals, exponential service times, single service channel and infinite number of waiting positions, customers are serviced in the order of their arrival. In the stationary case a new form of the probability generating functions of the number of clients in the system is derived. This new form is written in terms of the probability generating functions of the tail distribution function of the number of customers per group and of the probability generating functions of a embedded discrete time homogeneous Markov chain.
- Добавил в систему: Соболев Виталий Николаевич