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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/234987
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- The effective bandwidth problem revisited
- Abramov, Vyacheslav M.
- 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
- Stochastic Models, Vol. 24, no. 4 (2008), pp. 527-557
- Publication year
- FOR Code(s)
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0104 Statistics
- 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
- Taylor & Francis
- Publisher URL
- 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
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