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Study on Transient Queue-Size Distribution in the Finite-Buffer Model with Batch Arrivals and Multiple Vacation Policy [PDF]
Entropy, 2021 The transient behavior of the finite-buffer queueing model with batch arrivals and generally distributed repeated vacations is analyzed. Such a system has potential applications in modeling the functioning of production systems, computer and ...
Wojciech M. Kempa, Rafał Marjasz
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Multi-server queue with batch arrivals [PDF]
MATEC Web of Conferences, 2018 A multi-server queueing system, that is loaded continuously in certain periods of time and which functions for a certain amount of time allocated for the functioning of the system, is considered. Based on the renewal theory, an expression is obtained for
Korolkova Liubov +2 more
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Peak Age of Information Analysis in Systems with Multiple Time-Correlated Traffic Streams [PDF]
SensorsNowadays, Internet of Things (IoT) is one of the most dynamically evolving services in the 5G ecosystem. In industrial IoT (IIoT), this service can be utilized to deliver state updates of various equipment to the remote control center for further ...
Varvara Manaeva +3 more
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Quantification of system resilience through stress testing using a predictive analysis of departure dynamics in a $$M^X/G/1/N$$ queue with multiple vacation policy [PDF]
Scientific ReportsThe study investigates the departure counting process in a finite-buffer queueing system with batch arrivals and multiple vacation policy, focusing on quantifying system resilience through stress testing and predictive analysis.
Rafał Marjasz +2 more
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Burst ratio for a versatile traffic model
PLoS ONE, 2022 We deal with a finite-buffer queue, in which arriving jobs are subject to loss due to buffer overflows. The burst ratio parameter, which reflects the tendency of losses to form long series, is studied in detail.
Andrzej Chydzinski
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On Single Server Queues with Batch Arrivals
Computer Sciences & Mathematics Forum, 2023 We consider a queuing system GIν|M|1|∞ with arrival of customers in batches, general renewal arrivals, exponential service times, single service channels and an infinite number of waiting positions, where customers are serviced in the order of their ...
Vitaly Sobolev, Alexander Condratenko
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Mathematics, 2021 A single-server queuing-inventory system in which arrivals are governed by a batch Markovian arrival process and successive arrival batch sizes form a finite first-order Markov chain is considered in this paper.
Achyutha Krishnamoorthy +2 more
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Stationary Analysis Fluid Model Driven by an Queue [PDF]
Maǧallaẗ Al-Buḥūṯ Al-Tiǧāriyyaẗ, 2023 A Fluid queue is a mathematical model used to describe fluid level in a reservoir subject to randomly determined periods of filling and emptying the system without interruption called a buffer, according to a randomly varying rate regulated by an ...
كريمة السيد
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Optimization of Open Queuing Networks with Batch Services
Mathematics, 2022 In this paper, open queuing networks with Poisson arrivals and single-server infinite buffer queues are considered. Unlike traditional queuing models, customers are served (with exponential service time) in batches, so that the nodes are non-work ...
Elena Stankevich +2 more
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On the Distributions of Infinite Server Queues With Batch Arrivals [PDF]
SSRN Electronic Journal, 2018 Queues that feature multiple entities arriving simultaneously are among the oldest models in queueing theory, and are often referred to as "batch" (or, in some cases, "bulk") arrival queueing systems. In this work we study the affect of batch arrivals on infinite server queues.
Andrew Daw, Jamol Pender
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