Abstract
Heavy traffic research is part of a general program to obtain simple descriptions and useful approximations for queueing models. Throughout this paper, I try to put heavy traffic research into this broader perspective. I discuss the two principal objectives of heavy traffic research, namely, (1) to describe unstable queueing systems and (2) to approximate stable queueing systems. These objectives are each related to more general themes. In an unstable queueing system the queueing processes are growing processes, so that descriptions of queueing processes in unstable queueing systems are similar to descriptions of other growing processes associated with queues. In the same way, heavy traffic approximations for stable queues are part of a large class of approximations for queueing systems. I relate heavy traffic research to these more general activities.
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