Xing, Xiaoyu; Wang, Yongxue The integral of the queue length process in a G/G/1 model. (English) Zbl 1240.90115 Acta Sci. Nat. Univ. Nankaiensis 43, No. 1, 5-10 (2010). Summary: A G/G/1 queue with intermediately regularly varying service time is considered. Assume that \(Q(t)\) is the queue length, during the busy period \([0,l]\), the area swept under \(Q(t)\) is proved to have an intermediately regularly varying tail. MSC: 90B22 Queues and service in operations research 60K25 Queueing theory (aspects of probability theory) Keywords:service time; queue length; busy period PDFBibTeX XMLCite \textit{X. Xing} and \textit{Y. Wang}, Acta Sci. Nat. Univ. Nankaiensis 43, No. 1, 5--10 (2010; Zbl 1240.90115)