The GRXn/Gn/∞ system: system size
Queueing Systems: Theory and Applications
Mt/G/∞ queues with sinusoidal arrival rates
Management Science
Introduction to matrix analysis (2nd ed.)
Introduction to matrix analysis (2nd ed.)
Infinite Server Queues with Synchronized Departures Driven by a Single Point Process
Queueing Systems: Theory and Applications
Impacts of data call characteristics on multi-service CDMA system capacity
Performance Evaluation - Performance 2005
Transient analysis of a queuing system with matrix-geometric methods
NEW2AN'06 Proceedings of the 6th international conference on Next Generation Teletraffic and Wired/Wireless Advanced Networking
A queueing model for multi-product production system under varying manufacturing environment
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part IV
Analysis of an M/G/∞ queue with batch arrivals and batch-dedicated servers
Operations Research Letters
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This paper considers an infinite-server queue with multiple batch Markovian arrival streams. The service time distribution of customers may be different for different arrival streams, and simultaneous batch arrivals from more than one stream are allowed. For this queue, we first derive a system of ordinary differential equations for the time-dependent matrix joint generating function of the number of customers in the system. Next assuming phase-type service times, we derive explicit and numerically feasible formulas for the time-dependent and limiting joint binomial moments. Further, some numerical examples are provided to discuss the impact of system parameters on the performance.