A Multi-User-Class, Blocked-Calls-Cleared, Demand Access Model

Joseph M. Aein

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Advanced Queuing Theory Analysis Network Traffic and Congestion Control Wireless Communication Networks Research

Abstract

Constraints on capacity allocation are investigated for circuit-switched demand access to a common transmission resource by user communities with differing traffic intensity and capacity requirements. A simple birth-death steady-state traffic model is used together with a geometrical representation of any given set of constraints placed upon user access. State probabilities have a simple product form which holds for a wide class of constraint sets. Performance characteristics are intrinsic to the upper surface of the constraint set.

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References

1973Computational algorithms for closed queueing networks with exponential servers 1974Application of the Diffusion Approximation to Queueing Networks I: Equilibrium Queue Distributions 1973Introduction to Queueing Theory 1975Approximate Analysis of General Queuing Networks

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2009Modeling product-form state-dependent systems with BPP traffic 1995An algorithm to compute blocking probabilities in multi-rate multi-class multi-resource loss models 1992Blocking with retrials in a completely shared resource environment 1992Blocking probabilities in multitraffic loss systems: insensitivity, asymptotic behavior, and approximations 1994Control of multiple service, multiple resource communication networks 1996Blocking in a shared resource environment with batched Poisson arrival processes 2008Modelling of state-dependent multirate systems carrying BPP traffic 2014A Queueing Model of a Multi-Service System with State-Dependent Distribution of Resources for Each Class of Calls

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