Results 1 to 10 of about 594,417 (290)
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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On the loss process in a batch arrival queue
Applied Mathematical Modelling, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andrzej Chydzinski
exaly +3 more sources
Queueing Inventory System in Transport Problem
Mathematics, 2023 In this paper, we consider the batch arrival of customers to a transport station. Customers belonging to each category is considered as a single entity according to a BMMAP.
Khamis A. K. Al Maqbali +3 more
doaj +1 more source
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
doaj +3 more sources
Multi-Class, Multi-Server Queueing Inventory System with Batch Service
Mathematics, 2023 In this paper, we consider a queueing inventory system with batch arrival and batch service processes. Customers arrive in batches of sizes 1,2,…,k, according to a marked compound Poisson process. We call a batch of customers as belonging to j when there
Khamis A. K. ALMaqbali +2 more
doaj +1 more source
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
openaire +4 more sources
Asymptotic diffusion analysis of the retrial queuing system with feedback and batch Poisson arrival
Discrete and Continuous Models and Applied Computational Science, 2023 The mathematical model of the retrial queuing system \(M^{[n]}/M/1\) with feedback and batch Poisson arrival is constructed. Customers arrive in groups. If the server is free, one of the arriving customers starts his service, the rest join the orbit. The
Anatoly A. Nazarov +2 more
doaj +1 more source
An approximate method for analyzing a queuing system with batch arrivals and batch services [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаA queueing system with a single server and an infinite-capacity buffer is considered. At any given time, one or two customers with specified probabilities can be received at once.
Sergeeva, Nadezhda Viktorovna +2 more
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Transportation Research Interdisciplinary Perspectives, 2021 Rule-based and optimization-based autonomous intersection management (AIM) policies have been evaluated against traditional signal controls in terms of intersection safety, efficiency and emission.
Muting Ma, Zhixia Li
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A queueing system with a batch Markovian arrival process and varying priorities
Журнал Белорусского государственного университета: Математика, информатика, 2022 We consider herein a single-server queueing system with a finite buffer and a batch Markovian arrival process. Customers staying in the buffer may have a lower or higher priority.
Valentina I. Klimenok
doaj +1 more source