Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
Analysis of finite-buffer multi-server queues with group arrivals: GIX/M/c/N
Queueing Systems: Theory and Applications
Analysis of the Discrete-Time GG/Geom/c Queueing Model
NETWORKING '02 Proceedings of the Second International IFIP-TC6 Networking Conference on Networking Technologies, Services, and Protocols; Performance of Computer and Communication Networks; and Mobile and Wireless Communications
Performance analysis and optimal control of the Geo/Geo/c queue
Performance Evaluation
Modeling and Analysis of Discrete-Time Multiserver Queues with Batch Arrivals: GIX/Geom/m
INFORMS Journal on Computing
Discrete-time multiserver queues with geometric service times
Computers and Operations Research
Asymptotic analysis and simple approximation of the loss probability of the GIX/M/c/K queue
Performance Evaluation
On discrete-time multiserver queues with finite buffer: GI/Geom/m/N
Computers and Operations Research
Computers & Mathematics with Applications
Analysis of discrete-time multiserver queueing models with constant service times
Operations Research Letters
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This paper analyzes a discrete-time multiserver finite-buffer queueing system with batch renewal arrivals in which inter-batch time of batches and service times of customers are, respectively, arbitrarily and geometrically distributed. Each customer gets service from only one server. Using the supplementary variable and the imbedded Markov chain techniques, we obtain the state probabilities at prearrival, arbitrary and outside observer's observation epochs for partial- and total-batch rejection policies. The blocking probability of the first-, an arbitrary- and the last-customer in a batch, and other performance measures along with some numerical results have been discussed. The analysis of actual waiting-time distributions measured in slots of the first-, an arbitrary- and the last-customer in an accepted batch has also been investigated. Finally, it is shown that in the limiting case the results obtained in this paper tend to the continuous-time counterpart.