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Queuing Systems with Semi-Markov Flow in Average and Diffusion Approximation Schemes
Methodology and Computing in Applied Probability, 2008A semi-Markov \((SM/M/1/\infty)\) flow including the Markov and the renewal flows as particular cases are studied. By means of using an asymptotic average and a diffusion approximation of the fluctuations for these systems, some quantitative results are obtained. Among others, the fluctuation of the counting process for these systems are derived.
Nikolaos Limnios
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Approximate Analysis of General Queuing Networks by Decomposition
IRE Transactions on Communications Systems, 1979In this paper an approximate method for the analysis of general queuing networks is proposed. The queuing network is of the open network type, having N single server queuing stations with arbitrary interconnections. Customers may enter the network at any queuing station. The interarrival times of the exogenous arrival processes and the service times at
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Diffusion approximation of queuing networks of open type
Ukrainian Mathematical Journal, 1989The open Jackson queueing network with ...
Lebedev, E. A., Chechel'nitskij, A. A.
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Approximate Analysis of General Queuing Networks
IBM Journal of Research and Development, 1975An approximate iterative technique for the analysis of complex queuing networks with general service times is presented. The technique is based on an application of Norton's theorem from electrical circuit theory to queuing networks which obey local balance.
K. Mani Chandy +2 more
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The Probabilistic Measures Approximation of a Resource Queuing System with Signals
2021Modern wireless networks are characterized by high user mobility. This factor can lead to changes in the quality of the channel during the lifetime of the interaction session. To take into account the fact of user movement in a resource queuing system with signals are introduced. Signal arrivals trigger resource reallocation of customers in the system.
Kirill A. Ageev +3 more
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Approximate Queuing Models for Multiprogramming Computer Systems
Operations Research, 1973In a multiprogramming computer system several jobs may be handled simultaneously by utilizing the central processing unit in processing one job while other jobs are being served by the peripheral devices. Our analysis of such a computer system proceeds in the following way.
Benjamin Avi-Itzhak, Daniel P. Heyman
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Approximate method for analysis of queuing models with jump priorities
Automation and Remote Control, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agassi Z. Melikov +2 more
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Approximate Analysis Of The Limited Resources Queuing System With Signals
ECMS 2019 Proceedings edited by Mauro Iacono, Francesco Palmieri, Marco Gribaudo, Massimo Ficco, 2019Queuing systems with limited resources, in which customers require a device and a certain amount of limited resources for the duration of their service, proved their effectiveness in the performance analysis of modern wireless networks. However using queuing systems leads to complex calculations.
Eduard S. Sopin +2 more
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Queuing approximations for capacity planning under common setup rules
IISE Transactions, 2020We consider the problem of estimating the resulting utilization and cycle times in manufacturing settings that are subject to significant capacity losses due to setups when switching between differ...
Esma Senturk Gel +2 more
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Approximate Analysis of a Hierarchical Queuing Network
Operations Research, 1974A hierarchical queuing network is a layered network of queues in which all arrivals receive initial service from a primary server, and some customers receive additional service jointly from a primary and a secondary server. This paper considers the simplest such network, involving two levels and a single secondary server who functions as a consultant ...
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