{"42830":{"#nid":"42830","#data":{"type":"event","title":"Customer Abandonment in Critically Loaded Many-Server Queues","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003ETITLE:\u003C\/strong\u003E Customer Abandonment in Critically Loaded Many-Server Queues\n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003ESPEAKER:\u003C\/strong\u003E Shuangchi He\n\u003C\/p\u003E\n\u003Cp\u003E\u003Cstrong\u003EABSTRACT:\u003C\/strong\u003E\n\u003C\/p\u003E\n\u003Cp\u003EWe study G\/G\/n+GI queues in which customer patience times are independent, identically distributed following a general distribution. When a customer\u0027s waiting time in queue exceeds his patience time, the customer abandons the system without service. For the performance of such a system, we focus on the abandonment-count process and the queue length process. Assume the system is operated in many-server heavy traffic.  We prove that, under some conditions, a deterministic relationship among the two stochastic possesses holds asymptotically under the diffusion-scaling when the number of server n to infty. The key assumption is that the diffusion-scaled queue length process is stochastically bounded. We also establish a comparison result that allows one to check the stochastic boundedness by studying a corresponding system without customer abandonment. \u003C\/p\u003E","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"Customer Abandonment in Critically Loaded Many-Server Queues","format":"limited_html"}],"field_summary_sentence":[{"value":"Customer Abandonment in Critically Loaded Many-Server Queues"}],"uid":"27187","created_gmt":"2009-10-12 20:36:11","changed_gmt":"2016-10-08 01:47:09","author":"Anita Race","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2009-03-26T15:00:00-04:00","event_time_end":"2009-03-26T16:00:00-04:00","event_time_end_last":"2009-03-26T16:00:00-04:00","gmt_time_start":"2009-03-26 19:00:00","gmt_time_end":"2009-03-26 20:00:00","gmt_time_end_last":"2009-03-26 20:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"1242","name":"School of Industrial and Systems Engineering (ISYE)"}],"categories":[],"keywords":[{"id":"4920","name":"queue"}],"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\u003ETon Dieker\u003C\/strong\u003E\u003Cbr \/\u003EISyE\u003Cbr \/\u003E\u003Ca href=\u0022mailto:ton.dieker@isye.gatech.edu\u0022\u003EContact Ton Dieker\u003C\/a\u003E\u003Cbr \/\u003E\u003Cstrong\u003E404-385-3140\u003C\/strong\u003E","format":"limited_html"}],"email":[],"slides":[],"orientation":[],"userdata":""}}}