@inproceedings{e4771d070eaf42019504ce5cdd264764,

title = "Sojourn Time Distribution in Fluid Queues",

abstract = "We consider a fluid flow model with infinite buffer. We compute the Laplace-Stieltjes transform of the sojourn time proceeding in two steps. We first compute the stationary distribution of the buffer at arrival instants, using a change of clock. Secondly, we compute the transform of the time spent to empty the buffer. Numerical examples of sojourn time in a fluid flow are finally examined.",

keywords = "Markov-modulated fluid flow, Sojourn time, Laplace-Stieljes transform",

author = "Eleonora Deiana and Marie-Ange Remiche and Guy Latouche",

note = "Best Student Paper Award",

year = "2019",

month = aug,

day = "27",

doi = "10.1007/978-3-030-27181-7_18",

language = "English",

isbn = "978-3-030-27180-0",

volume = "11688",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer",

pages = "295--313",

editor = "Tuan Phung-Duc and Shoji Kasahara and Sabine Wittevrongel",

booktitle = "Queueing Theory and Network Applications",

}