{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,8]],"date-time":"2026-03-08T03:12:36Z","timestamp":1772939556800,"version":"3.50.1"},"reference-count":13,"publisher":"Institute for Operations Research and the Management Sciences (INFORMS)","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematics of OR"],"published-print":{"date-parts":[[2026,1]]},"abstract":"<jats:p>In this paper, under mild conditions on the arrival, service, and patience time distributions, we establish the well-posedness of the fluid model of a multiclass many-server queueing model with differentiated service and patience times operated under the global FCFS service discipline. In particular, the well-posedness of the fluid model is established through the study of the existence and uniqueness of fixed points of a certain functional map of Volterra type. In addition, by showing a local Lipschitz property of this functional map as a functional of the initial data to the fluid model, we also perform a sensitivity analysis on the fluid model.<\/jats:p>","DOI":"10.1287\/moor.2023.0386","type":"journal-article","created":{"date-parts":[[2025,1,29]],"date-time":"2025-01-29T08:50:16Z","timestamp":1738140616000},"page":"149-184","source":"Crossref","is-referenced-by-count":0,"title":["Well-Posedness and Sensitivity Analysis of a Fluid Model for Multiclass Many-Server Queues with Abandonment Under Global FCFS Discipline"],"prefix":"10.1287","volume":"51","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-5047-1832","authenticated-orcid":false,"given":"Weining","family":"Kang","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, University of Maryland, Baltimore County, Baltimore, Maryland 21250"}]}],"member":"109","reference":[{"key":"B1","doi-asserted-by":"publisher","DOI":"10.1287\/moor.2013.0630"},{"key":"B2","doi-asserted-by":"publisher","DOI":"10.1198\/016214504000001808"},{"key":"B3","doi-asserted-by":"publisher","DOI":"10.1287\/msom.5.2.79.16071"},{"key":"B4","doi-asserted-by":"publisher","DOI":"10.1287\/msom.4.3.208.7753"},{"key":"B5","first-page":"281","volume-title":"Patient Flow: Reducing Delay in Healthcare Delivery, International Series in Operations Research & Management Science","volume":"91","author":"Green LV","year":"2006"},{"key":"B6","doi-asserted-by":"publisher","DOI":"10.1016\/j.orl.2014.08.006"},{"key":"B7","unstructured":"Kang W, Pang G (2024) Fluid model of a many-server queueing network with abandonment and Markovian routing. Working paper, Rice University, Houston, TX."},{"key":"B8","doi-asserted-by":"publisher","DOI":"10.1214\/10-AAP683"},{"key":"B9","doi-asserted-by":"publisher","DOI":"10.1214\/09-AAP662"},{"key":"B10","doi-asserted-by":"publisher","DOI":"10.1007\/BF02413625"},{"issue":"2","key":"B11","first-page":"165","volume":"25","author":"Sidney AM","year":"1975","journal-title":"Matematick\u00fd \u010dasopis"},{"key":"B12","doi-asserted-by":"publisher","DOI":"10.1016\/j.spa.2013.11.008"},{"key":"B13","doi-asserted-by":"publisher","DOI":"10.1287\/opre.1050.0227"}],"container-title":["Mathematics of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubsonline.informs.org\/doi\/pdf\/10.1287\/moor.2023.0386","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,7]],"date-time":"2026-03-07T09:41:17Z","timestamp":1772876477000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubsonline.informs.org\/doi\/10.1287\/moor.2023.0386"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2026,1]]}},"alternative-id":["10.1287\/moor.2023.0386"],"URL":"https:\/\/doi.org\/10.1287\/moor.2023.0386","relation":{},"ISSN":["0364-765X","1526-5471"],"issn-type":[{"value":"0364-765X","type":"print"},{"value":"1526-5471","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1]]}}}