{"42815":{"#nid":"42815","#data":{"type":"event","title":"Parallel server queueing systems in the heavy traffic regime","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003ETITLE:\u003C\/strong\u003E  Parallel server queueing systems in the heavy traffic regime \n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003ESPEAKER:\u003C\/strong\u003E  David Gamarnik\n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003EABSTRACT:\u003C\/strong\u003E\n\u003C\/p\u003E\n\u003Cp\u003EA parallel server queueing system model is used in a variety of applications  including computer networks, call centers and health care management. Understanding the behavior of this system in the heavy traffic setting when the number of servers is large is a very challenging problem. While a lot is known in the special case of exponentially distributed processing times, starting with\u003Cbr \/\u003E\nthe classical  work of Halfin and Whitt in 1980, far less is known in the non-exponential case. This  is unfortunate since the real life data, for example  the number of days spent by patients in a hospital, often suggests distributions far from exponential.\n\u003C\/p\u003E\n\u003Cp\u003EWe will present a recent progress in understanding the steady state behavior of a parallel server queueing system when the  processing time distribution is arbitrary. Specifically, we establish that the basic performance measures for this queueing model have the same scaling as for the  special case of exponential processing times. Then we obtain a surprisingly simple and explicit upper bound on the limiting tail distribution of the queue length.  In special cases we establish the tightness of this bound.\n\u003C\/p\u003E\n\u003Cp\u003EJoint work with Petar Momcilovic (University of Michigan) and David Goldberg (MIT). \u003C\/p\u003E","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"Parallel server queueing systems in the heavy traffic regime","format":"limited_html"}],"field_summary_sentence":[{"value":"Parallel server queueing systems in the heavy traffic regime"}],"uid":"27187","created_gmt":"2009-10-12 20:36:09","changed_gmt":"2016-10-08 01:47:09","author":"Anita Race","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2009-03-31T12:00:00-04:00","event_time_end":"2009-03-31T13:00:00-04:00","event_time_end_last":"2009-03-31T13:00:00-04:00","gmt_time_start":"2009-03-31 16:00:00","gmt_time_end":"2009-03-31 17:00:00","gmt_time_end_last":"2009-03-31 17:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"1242","name":"School of Industrial and Systems Engineering (ISYE)"}],"categories":[],"keywords":[{"id":"5306","name":"parallel server"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cstrong\u003EHayriye Ayhan\u003C\/strong\u003E\u003Cbr \/\u003EISyE\u003Cbr \/\u003E\u003Ca href=\u0022mailto:hayhan@isye.gatech.edu\u0022\u003EContact Hayriye Ayhan\u003C\/a\u003E\u003Cbr \/\u003E\u003Cstrong\u003E404-894-2300\u003C\/strong\u003E","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}