Multiple access protocols: performance and analysis
Multiple access protocols: performance and analysis
Statistical multiplexing of VBR sources: a matrix-analytic approach
Performance Evaluation - Special issue on performance modeling of high speed telecommunication systems
Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
A single-server G-queue in discrete-time with geometrical arrival and service process
Performance Evaluation
A matrix-analytic solution for the DBMAP/PH/1 priority queue
Queueing Systems: Theory and Applications
A discrete-time Geo/G/1 retrial queue with starting failures and second optional service
Computers & Mathematics with Applications
Cellular mobile networks with repeated calls operating in random environment
Computers and Operations Research
Constructive Computation in Stochastic Models with Applications: The RG-Factorizations
Constructive Computation in Stochastic Models with Applications: The RG-Factorizations
Markov chains with block-structured state-dependent events: formulation and correlation analysis
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
A discrete-time Geo/G/1 retrial queue with starting failures and impatient customers
Transactions on computational science VII
Accessible bibliography on retrial queues: Progress in 2000-2009
Mathematical and Computer Modelling: An International Journal
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In this paper, we introduce a new discrete block state-dependent arrival (D-BSDA) distribution which provides fresh insights leading to a successful generalization of the discrete-time Markovian arrival process (D-MAP). The D-BSDA distribution is related to structured Markov chains and the method of stages. The consideration of this new discrete-time state-dependent block description gives one the ability of construct new stochastic models. The retrial queue analyzed in this paper gives an example of application of the D-BSDA distribution to construct more general and sophisticated models. We assume that the primary arrivals and the retrials follow the D-BSDA description and the service times are of discrete phase-type (PH). We study the underlying level dependent Markov chain of M/G/1-type at the epochs immediately after the slot boundaries. To this end, we employ the UL-type RG-factorization which provides an expression for the stationary probabilities. We also perform an analysis of waiting times. Numerical experiments are presented to study the system performance.