@article {IOPORT.01906167, author = {Gromoll, H.Christian and Puha, Amber L. and Williams, Ruth J.}, title = {The fluid limit of a heavily loaded processor sharing queue.}, year = {2002}, journal = {The Annals of Applied Probability}, volume = {12}, number = {3}, issn = {1050-5164}, pages = {797-859}, publisher = {Institute of Mathematical Statistics, Hayward, CA}, doi = {10.1214/aoap/1031863171}, abstract = {A single server queue with renewal arrivals and i.i.d. service times is considered in which the server operates under a processor sharing service discipline. The authors study a critical fluid model for a heavily loaded processor sharing queue. The fluid model state descriptor is a measure-valued function whose dynamics are governed by a nonlinear integral equation. The critical fluid model can be served as a first order approximation of a heavily loaded processor.}, reviewer = {Anatolij Dvure\v{c}enskij (Bratislava)}, identifier = {01906167}, }