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Approximate Analysis of General Queuing Networks

IBM Journal of Research and Development, 1975
An 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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Approximate Queuing Models for Multiprogramming Computer Systems

Operations Research, 1973
In 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, 2013
zbMATH 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, 2019
Queuing 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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Approximate Analysis of a Hierarchical Queuing Network

Operations Research, 1974
A 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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Queuing approximations for capacity planning under common setup rules

IISE Transactions, 2020
We 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 Transient Analysis of Some Queuing Systems

Operations Research, 1978
We propose approximations for the time-dependent queue size distribution Pn(t) and the mean queue size E[X(t)] of an M/M/1 queue. With a Laplace transform-generating function technique, the exact analysis involves the complex root u* inside the unit circle of a certain quadratic.
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Hierarchical fair queuing: single-step approximation of hierarchical-GPS

Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE, 2003
We propose a hierarchical packet scheduling technique to closely approximate a hierarchical extension of the generalized processor sharing model, hierarchical generalized processor sharing (H-GPS). Our approach is to undertake the tasks of service guarantee and hierarchical link sharing in an independent manner so that each task best serves its own ...
Andrew Do-Sung Jun   +2 more
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Bounds and Approximations in Queuing through Monotonicity and Continuity

Operations Research, 1977
This paper is a survey of recent research on the monotonicity and continuity of queuing systems and their application to obtain bounds and approximations.
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Nonlinear Diffusion Approximations of Queuing Networks

2001
The aim of this paper is to sketch two examples of simple queuing networks that possess nonlinear diffusion approximations. These approximations are obtained by considering hydrodynamic limits for the corresponding interacting particle systems obeying various exclusion rules. Asymptotic analysis of the approximating nonlinear pdes is also provided.
B. Margolius, W. A. WoyczyƱski
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