@inproceedings{c7ffdddbc9da4ca1825ff8b24f5ac338,
title = "Well-posedness of the M/G/1 Queueing System with Vacations by the Cofinal Theory",
abstract = "Cofinal theory is a method of effectiveness and convenience to prove that a system operator can generate a C0-semigroup. This paper analyzes the system operator of the M/G/1 queueing system with working vacations and vacation interruption. Then we prove that the system is well-posedness. First, we translate the system into an abstract Cauchy problem. Then we prove that the system operator is a densely defined resolvent positive operator is a densely defined resolvent positive operator. At the end, we draw the conclusion that the system operator generates a C0-semigroup by the cofinal theory.",
keywords = "Adjoint Operator, C-Semigroup, Cofinal, Eigenvalue, M/G/1 Queueing System, Resolvent",
author = "Win, \{Thet Thet\} and Houbao Xu",
note = "Publisher Copyright: {\textcopyright} 2020 Technical Committee on Control Theory, Chinese Association of Automation.; 39th Chinese Control Conference, CCC 2020 ; Conference date: 27-07-2020 Through 29-07-2020",
year = "2020",
month = jul,
doi = "10.23919/CCC50068.2020.9189296",
language = "English",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "214--219",
editor = "Jun Fu and Jian Sun",
booktitle = "Proceedings of the 39th Chinese Control Conference, CCC 2020",
address = "United States",
}