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Approximate Transient Analysis of Some Queuing Systems
Operations Research, 1978We 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, 2003We 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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Approximate Analysis of the Queuing System with Heterogeneous Servers and N-Policy
2020In this paper, we propose an approximate method to investigate the Markovian queuing system with two separate pools of heterogeneous servers (HS) under N-policy. It is assumed that fast servers (F-servers) remain awake all the time while slow servers (S-servers) will go to sleep independently when number of calls in the buffer less than some threshold.
Agassi Z. Melikov +2 more
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Bounds and Approximations in Queuing through Monotonicity and Continuity
Operations Research, 1977This 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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Discrete approximation of M/D/s/N queuing models
Electronics and Communications in Japan (Part I: Communications), 1999In future high-speed communication, it is anticipated that cases dealing with fixed-length data will increase. Therefore, a traffic analysis for constant-service-time models is needed. In this paper, a multiserver queuing model M/D/s/N for finite capacity in the system and constant service time is treated.
Takuya Morimoto, Yutaka Yoshida
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Nonlinear Diffusion Approximations of Queuing Networks
2001The 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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Approximate Transient Analysis of Queuing Networks by Quasi Product Forms
2013In this paper we deal with transient analysis of networks of queues. These systems most often have enormous state space and the exact computation of their transient behavior is not possible. We propose to apply an approximate technique based on assumptions on the structure of the transient probabilities.
ANGIUS, ALESSIO +2 more
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Approximate queuing analysis for IEEE 802.15.4 sensor network
2010 Second International Conference on Ubiquitous and Future Networks (ICUFN), 2010Wireless sensor networks (WSNs) have attracted much attention in recent years for their unique characteristics and wide use in many different applications. Especially, in military networks, all sensor motes are deployed randomly and densely. How can we optimize the number of deployed nodes (sensor node and sink) with a QoS guarantee (minimal end-to-end
null Nam Tuan Le +2 more
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Application of the diffusion approximation to queuing networks
Proceeding of the 1973 ACM SIGME symposium on - SIGME '73, 1973The practical value of queuing theory in engineering application such as in computer modeling has been limited, since the interest in mathematical tractability has almost always led to an oversimplified model. The diffusion process approximation is an attempt to break away from the vogue in queuing theory.The present paper introduces a vector-valued ...
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Approximate Solution of Multiclass Queuing Networks with Region Constraints
2007 15th International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, 2007Among existing modeling techniques, queueing networks with "finite capacity regions" have largely proven to be effective in characterizing push-back effects and simultaneous resource possession in which a request holds more resources simultaneously. Queueing network models with finite capacity regions impose upper bounds on the number of jobs that can ...
Anselmi, Jonatha +2 more
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