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Title

The effective bandwidth problem revisited

Author(s)

Abramov, Vyacheslav M.

Abstract

This article studies a single-server queueing system with autonomous service and ℓ priority classes. Arrival and departure processes are governed by marked point processes. There are ℓ buffers corresponding to priority classes, and upon arrival a unit of the kth priority class occupies a place in the kth buffer. Let N (k), k = 1,2,…, ℓ denote the quota for the total kth buffer content. The values N (k) are assumed to be large, and queueing systems both with finite and infinite buffers are studied. In the case of a system with finite buffers, the values N (k) characterize buffer capacities. This article discusses a circle of problems related to optimization of performance measures associated with overflowing the quota of buffer contents, particularly buffers models. Our approach to this problem is new, and the presentation of our results is simple and clear for real applications.

Publication type

Journal article

Source

Stochastic Models, Vol. 24, no. 4 (2008), pp. 527-557

Publication year

2008

FOR Code(s)

0102 Applied Mathematics;  0103 Numerical and Computational Mathematics;  0104 Statistics

Keyword(s)

Asymptotic analysis;  Autonomous queue;  Batch arrivals and services;  Differential equations;  Dispersions;  Loss probability;  Loss systems;  Martingales;  Mathematical programming;  Point processes;  Priority queues;  Queueing networks;  Queueing theory;  Risk assessment;  Semimartingales;  Stochastic differential equation;  Stochastic programming

Publisher

Taylor & Francis

ISSN

1532-6349

Publisher URL

http://dx.doi.org/10.1080/15326340802427430

Copyright

Copyright © Taylor & Francis Group, LLC. The accepted manuscript is reproduced in accordance with the copyright policy of the publisher.

Research Projects

Queueing systems and their application to telecommunication systems and dams, Australian Research Council grant number DP0771338

Full text

Peer reviewed