A transient discrete-time queueing analysis of the ATM multiplexer
Performance Evaluation
An Introduction to ATM Networks
An Introduction to ATM Networks
Time-dependent performance analysis of a discrete-time priority queue
Performance Evaluation
Mixed Finite-/Infinite-Capacity Priority Queue with Interclass Correlation
ASMTA '08 Proceedings of the 15th international conference on Analytical and Stochastic Modeling Techniques and Applications
Performance Analysis of a Priority Queue with Place Reservation and General Transmission Times
EPEW '08 Proceedings of the 5th European Performance Engineering Workshop on Computer Performance Engineering
A performance analysis of discrete-time tandem queues with Markovian sources
Performance Evaluation
Performance of a partially shared priority buffer with correlated arrivals
ITC20'07 Proceedings of the 20th international teletraffic conference on Managing traffic performance in converged networks
A performance analysis of tandem networks with Markovian sources
ITC20'07 Proceedings of the 20th international teletraffic conference on Managing traffic performance in converged networks
Time and space priority in a partially shared priority queue
Proceedings of the 5th International Conference on Queueing Theory and Network Applications
Performance analysis of priority queueing systems in discrete time
Network performance engineering
Lagrangian relaxation and constraint generation for allocation and advanced scheduling
Computers and Operations Research
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We present performance analysis of a discrete-time system with two priority queues and correlated arrivals. The arrival process to each priority queue consists of the superposition of the traffic generated by independent binary Markov sources with the arrivals to the two queues being independent of one another. The first step is the determination of the busy period of a queue with correlated arrivals. Next, the joint probability generating function of the two queue lengths is derived and the unknown boundary function is determined using the busy period of the high-priority queue. The next step is to determine closed form expressions for the mean and variance of the queue lengths. Finally, the results are extended to multiple priority queueing systems with multiple types of traffic sources. Numerical results that demonstrate the impact of the correlated arrival process in the system are presented.