{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:19:57Z","timestamp":1750306797007,"version":"3.41.0"},"reference-count":11,"publisher":"Association for Computing Machinery (ACM)","issue":"3","license":[{"start":{"date-parts":[[2014,1,10]],"date-time":"2014-01-10T00:00:00Z","timestamp":1389312000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGMETRICS Perform. Eval. Rev."],"published-print":{"date-parts":[[2014,1,10]]},"abstract":"<jats:p>We consider many-server queues with delayed feedback where the service (patience) times of new customers and feedback customers are differentiated, and new and feedback customers are served under the first-come-first-serve (FCFS) discipline in the service station. The arrival process, service, patience and delay times are all general and mutually independent. A two-parameter fluid model for the system dynamics in the many-server regime is investigated, where we use four two-parameter processes to describe the service and queueing processes of the new and feedback customers, two for the service dynamics and two for the queueing dynamics. When the arrival rate is constant, we derive the steady state performance measures and study the impact of impatience differentiation and service differentiation upon them. When the arrival rate is time-varying, we provide an algorithm to compute the fluid processes. Numerical experiments are conducted, and show that the algorithm is very effective, compared with simulations.<\/jats:p>","DOI":"10.1145\/2567529.2567544","type":"journal-article","created":{"date-parts":[[2014,1,21]],"date-time":"2014-01-21T13:31:00Z","timestamp":1390311060000},"page":"46-48","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":1,"title":["Fluid approximations of many-server queues with delayed feedback and heterogeneous service and patience times"],"prefix":"10.1145","volume":"41","author":[{"given":"Weining","family":"Kang","sequence":"first","affiliation":[{"name":"University of Maryland at Baltimore County, Baltimore, MD"}]},{"given":"Hongyuan","family":"Lu","sequence":"additional","affiliation":[{"name":"Pennsylvania State University, University Park, PA"}]},{"given":"Guodong","family":"Pang","sequence":"additional","affiliation":[{"name":"Pennsylvania State University, University Park, PA"}]}],"member":"320","published-online":{"date-parts":[[2014,1,10]]},"reference":[{"key":"e_1_2_1_1_1","volume-title":"First-call resolution: revisited, why it still matters most, and how to improve it","author":"Desmarais M.","year":"2007","unstructured":"M. Desmarais . ( 2007 ) First-call resolution: revisited, why it still matters most, and how to improve it . Service Quality Measurement Group Inc . Report. M. Desmarais. (2007) First-call resolution: revisited, why it still matters most, and how to improve it. Service Quality Measurement Group Inc. Report."},{"key":"e_1_2_1_2_1","volume-title":"Test for equality of baseline hazard functions for correlated survival data using frailty models. Working paper","author":"Khudyakov P.","year":"2010","unstructured":"P. Khudyakov , M. Gorfine and P. Feigin . ( 2010 ) Test for equality of baseline hazard functions for correlated survival data using frailty models. Working paper . P. Khudyakov, M. Gorfine and P. Feigin. (2010) Test for equality of baseline hazard functions for correlated survival data using frailty models. Working paper."},{"key":"e_1_2_1_3_1","volume-title":"The Erlang-R queue: time-varying QED queues with ReEntrant customers in support of healthcare staffing. Preprint","author":"Yom-Tov G.","year":"2010","unstructured":"G. Yom-Tov , and A. Mandelbaum . ( 2010 ) The Erlang-R queue: time-varying QED queues with ReEntrant customers in support of healthcare staffing. Preprint . G. Yom-Tov, and A. Mandelbaum. (2010) The Erlang-R queue: time-varying QED queues with ReEntrant customers in support of healthcare staffing. Preprint."},{"key":"e_1_2_1_4_1","volume-title":"Fluid Approximations of Many-Server Queues with Delayed Feedback and Differentiated Service and Patience Times. In preparation","author":"Kang W.","year":"2013","unstructured":"W. Kang , H. Lu and G. Pang ( 2013 ) Fluid Approximations of Many-Server Queues with Delayed Feedback and Differentiated Service and Patience Times. In preparation . W. Kang, H. Lu and G. Pang (2013) Fluid Approximations of Many-Server Queues with Delayed Feedback and Differentiated Service and Patience Times. In preparation."},{"key":"e_1_2_1_5_1","volume-title":"Fluid limit of a many-server queueing network with abandonment. Submitted to Queueing Systems","author":"Kang W.","year":"2012","unstructured":"W. Kang and G. Pang . ( 2012 ) Fluid limit of a many-server queueing network with abandonment. Submitted to Queueing Systems . W. Kang and G. Pang. (2012) Fluid limit of a many-server queueing network with abandonment. Submitted to Queueing Systems."},{"key":"e_1_2_1_6_1","volume-title":"On the Fluid Model of Many-Server Queues with Delayed Feedback and Differentiated Patience Times. Submitted to Queueing Systems","author":"Kang W.","year":"2013","unstructured":"W. Kang and G. Pang ( 2013 a) On the Fluid Model of Many-Server Queues with Delayed Feedback and Differentiated Patience Times. Submitted to Queueing Systems . W. Kang and G. Pang (2013a) On the Fluid Model of Many-Server Queues with Delayed Feedback and Differentiated Patience Times. Submitted to Queueing Systems."},{"key":"e_1_2_1_7_1","volume-title":"Equivalence of two-parameter and measure-valued fluid models for Gt\/GI\/N + GI queues and their computation. Working paper","author":"Kang W.","year":"2013","unstructured":"W. Kang and G. Pang . ( 2013 b) Equivalence of two-parameter and measure-valued fluid models for Gt\/GI\/N + GI queues and their computation. Working paper . W. Kang and G. Pang. (2013b) Equivalence of two-parameter and measure-valued fluid models for Gt\/GI\/N + GI queues and their computation. Working paper."},{"key":"e_1_2_1_8_1","volume-title":"Fluid limits of multiclass many-server queues with abandonment under global FCFS discipline. In preparation","author":"Kang W.","year":"2013","unstructured":"W. Kang and G. Pang ( 2013 c) Fluid limits of multiclass many-server queues with abandonment under global FCFS discipline. In preparation . W. Kang and G. Pang (2013c) Fluid limits of multiclass many-server queues with abandonment under global FCFS discipline. In preparation."},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1214\/10-AAP683"},{"key":"e_1_2_1_10_1","volume-title":"Asymptotic approximations for the stationary distribution of many-server queues. To appear in Annals of Applied Probability","author":"Ramanan W.","year":"2011","unstructured":"Kang, W. and K. Ramanan . ( 2011 ) Asymptotic approximations for the stationary distribution of many-server queues. To appear in Annals of Applied Probability . Kang, W. and K. Ramanan. (2011) Asymptotic approximations for the stationary distribution of many-server queues. To appear in Annals of Applied Probability."},{"key":"e_1_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1050.0227"}],"container-title":["ACM SIGMETRICS Performance Evaluation Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2567529.2567544","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/2567529.2567544","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T07:34:38Z","timestamp":1750232078000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/2567529.2567544"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,1,10]]},"references-count":11,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2014,1,10]]}},"alternative-id":["10.1145\/2567529.2567544"],"URL":"https:\/\/doi.org\/10.1145\/2567529.2567544","relation":{},"ISSN":["0163-5999"],"issn-type":[{"type":"print","value":"0163-5999"}],"subject":[],"published":{"date-parts":[[2014,1,10]]},"assertion":[{"value":"2014-01-10","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}