Asymptotic analysis of queueing systems with reneging: A survey of results for FIFO, single class models

Abstract In this paper, we survey results for the G I / G I / N + G I queueing model. Our focus is on finding situations in which simple performance measure approximations can be developed. To do this, we study the behavior of the G I / G I / N + G I queue in the conventional heavy traffic and Halfin–Whitt limit regimes, and we also discuss the overloaded regime in which there is a single server as well as the overloaded many-server regime.

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