An approximate analysis of asynchronous, packet-switched buffered banyan networks with blocking
Performance Evaluation - Special issue: performance modeling of parallel processing systems
An EM algorithm for estimation in Markov-modulated Poisson processes
Computational Statistics & Data Analysis
Probabilistic modelling
Product-Form Approximations for an Extended Class of General Closed Queueing Networks
Performance '90 Proceedings of the 14th IFIP WG 7.3 International Symposium on Computer Performance Modelling, Measurement and Evaluation
Call-Routing Schemes for Call-Center Outsourcing
Manufacturing & Service Operations Management
Generalized QBD processes, spectral expansion and performance modeling applications
Network performance engineering
An efficient model for dimensioning an ATA-based virtual storage system
Computers and Electrical Engineering
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We obtain the queue length probability distribution at equilibrium for a multi-server, single queue with generalised exponential (GE) service time distribution and a Markov modulated compound Poisson arrival process (MMCPP) – i.e., a Poisson point process with bulk arrivals having geometrically distributed batch size whose parameters are modulated by a Markovian arrival phase process. This arrival process has been considered appropriate in ATM networks and the GE service times provide greater flexibility than the more conventionally assumed exponential distribution. The result is exact and is derived, for both infinite and finite capacity queues, using the method of spectral expansion applied to the two dimensional (queue length by phase of the arrival process) Markov process that describes the dynamics of the system. The Laplace transform of the interdeparture time probability density function is then obtained. The analysis therefore could provide the basis of a building block for modelling networks of switching nodes in terms of their internal arrival processes, which may be both correlated and bursty.