Stochastic models in queueing theory
Stochastic models in queueing theory
Simultaneity in discrete-time single server queues with Bernoulli inputs
Performance Evaluation
Discrete-Time Models for Communication Systems Including ATM
Discrete-Time Models for Communication Systems Including ATM
Performance analysis of finite buffer discrete-time queue with bulk service
Computers and Operations Research
Performance analysis and optimal control of the Geo/Geo/c queue
Performance Evaluation
Control of a Heterogeneous Two-Server Exponential Queueing System
IEEE Transactions on Software Engineering
Analysis of the discrete-time bulk-service queue Geo/GY/1/N+B
Operations Research Letters
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This paper analyzes a discrete-time bulk-service queueing system with two heterogeneous servers, i.e., two batch servers working with different service rates. The interarrival times of customers and service times of batches are assumed to be independent and geometrically distributed. Applications can be found in a wide variety of real systems including servers formed with different types of processors as a consequence of system updates, nodes in telecommunications network with links of different capacities, nodes in wireless systems serving different mobile users. We obtain closed-form expressions for the steady-state probabilities at arbitrary epoch with the help of displacement operator method and derive the outside observer's observation epoch probabilities and waiting time distribution measured in slots. Computational experiences with a variety of numerical results in the form of tables and graphs are discussed. Moreover, some queueing models discussed in the literature are derived as special cases of our model. Finally, it is shown that in the limiting case the results obtained in this paper tend to the continuous-time counterpart.