Architecture and robustness tradeoffs in speed-scaled queues with application to energy management

Abstract

We consider single-pass, lossless, queueing systems at steady-state subject to Poisson job arrivals at an unknown rate. Service rates are allowed to depend on the number of jobs in the system, up to a fixed maximum, and power consumption is an increasing function of speed. The goal is to control the state dependent service rates such that both energy consumption and delay are kept low. We consider a linear combination of the mean job delay and energy consumption as the performance measure. We examine both the architecture of the system, which we define as a specification of the number of speeds that the system can choose from, and the design of the system, which we define as the actual speed..