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Start Over Subject queue-size distribution

1. On the queue-size distribution in the multi-server system with bounded capacity and packet dropping

Creator:
Tikhonenko, Oleg and Kempa, Wojciech M.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
AQM algorithms, loss probability, multi-server queuing system, and queue-size distribution
Language:
English
Description:
A multi-server M/M/n-type queueing system with a bounded total volume and finite queue size is considered. An AQM algorithm with the "accepting'' function is being used to control the arrival process of incoming packets. The stationary queue-size distribution and the loss probability are derived. Numerical examples illustrating theoretical results are attached as well.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. On transient queue-size distribution in the batch-arrivals system with a single vacation policy

Creator:
Kempa, Woiciech M.
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
batch Poisson arrivals, queue-size distribution, renewal theory, single vacation, and transient state
Language:
English
Description:
A queueing system with batch Poisson arrivals and single vacations with the exhaustive service discipline is investigated. As the main result the representation for the Laplace transform of the transient queue-size distribution in the system which is empty before the opening is obtained. The approach consists of few stages. Firstly, some results for a "usual'' system without vacations corresponding to the original one are derived. Next, applying the formula of total probability, the analysis of the original system on a single vacation cycle is brought to the study of the "usual'' system. Finally, the renewal theory is used to derive the general result. Moreover, a numerical approach to analytical results is discussed and some illustrative numerical examples are given.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public