Some effects of nonstationarity on multiserver Markovian queueing systems
Operations Research
Mt/G/∞ queues with sinusoidal arrival rates
Management Science
Multiservice Loss Models for Broadband Telecommunication Networks
Multiservice Loss Models for Broadband Telecommunication Networks
Analysis and design of dynamic bandwidth access control schemes for b-isdn communication systems
Analysis and design of dynamic bandwidth access control schemes for b-isdn communication systems
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In this paper we present a comparative analysis of bandwidth access control schemes under nonstationary traffic conditions for heterogeneous circuit-mode traffic offered to a B-ISDN network link. A unified model to analyze the behavior of several bandwidth access control schemes is developed using a Markov process model with acceptance functions. Numerical method techniques are used to solve the associated Chapman-Kolmogorov equations and determine the nonstationary behavior. Performance results am given for several common bandwidth access control schemes, namely: complete sharing, complete partitioning, partial sharing, classical trunk reservation, and the probabilistic reservation policy. It is shown that the use of the average arrival rate to estimate the average connection blocking rate may be an underestimate for a system with a time varying arrival process. Also, it is found that a nonstationarity in one traffic class arrival process can impact other stationary trafic classes and the degree of variability depends on the particular access control scheme.