Fluid and diffusion limits for transient sojourn times of processor sharing queues with time varying rates

Abstract We provide an approximate analysis of the transient sojourn time for a processor sharing queue with time varying arrival and service rates, where the load can vary over time, including periods of overload. Using the same asymptotic technique as uniform acceleration as demonstrated in [12] and [13], we obtain fluid and diffusion limits for the sojourn time of the Mt/Mt/1 processor-sharing queue. Our

• Type: Journal
• Year: 2006
• Where: QUESTA
• Authors: Robert C. Hampshire, Mor Harchol-Balter, William A. Massey
• Keywords: Approximate Analysis, QUESTA 2006, Sojourn Time, Transient Sojourn Time