{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:39:44Z","timestamp":1753882784200,"version":"3.41.2"},"reference-count":19,"publisher":"World Scientific Pub Co Pte Ltd","issue":"13","funder":[{"name":"the National Science Foundation","award":["CMMI # 1751975"],"award-info":[{"award-number":["CMMI # 1751975"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2022,10]]},"abstract":"<jats:p> In this paper, we study queueing systems with delayed information that use a generalization of the multinomial logit choice model as its arrival process. Previous literature assumes that the functional form of the multinomial logit model is exponential. However, in this work we generalize this to different functional forms. In particular, we compute the critical delay and analyze how it depends on the choice of the functional form. We highlight how the functional form of the model can be interpreted as an exponential model where the exponential rate parameter is uncertain. Furthermore, the rate parameter distribution is given by the inverse Laplace\u2013Stieltjes transform of the functional form when it exists. We perform numerous numerical experiments to confirm our theoretical insights. <\/jats:p>","DOI":"10.1142\/s0218127422501942","type":"journal-article","created":{"date-parts":[[2022,11,3]],"date-time":"2022-11-03T06:40:11Z","timestamp":1667457611000},"source":"Crossref","is-referenced-by-count":0,"title":["Queues with Delayed Information: Analyzing the Impact of the Choice Model Function"],"prefix":"10.1142","volume":"32","author":[{"given":"Philip","family":"Doldo","sequence":"first","affiliation":[{"name":"Center for Applied Mathematics, Cornell University, 657 Rhodes Hall, Ithaca 14853, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jamol","family":"Pender","sequence":"additional","affiliation":[{"name":"School of Operations Research and Information Engineering, Center for Applied Mathematics, Cornell University, 228 Rhodes Hall, Ithaca, NY 14853, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2022,11,3]]},"reference":[{"key":"S0218127422501942BIB001","doi-asserted-by":"publisher","DOI":"10.1287\/moor.2020.1056"},{"key":"S0218127422501942BIB002","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127421300275"},{"key":"S0218127422501942BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127422500341"},{"key":"S0218127422501942BIB006","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127422300063"},{"key":"S0218127422501942BIB007","doi-asserted-by":"crossref","first-page":"1969","DOI":"10.1287\/mnsc.2017.2851","volume":"65","author":"Dong J.","year":"2019","journal-title":"Manag. 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