A note on the sojourn time distribution of an M/G/1 queue with a single working vacation and vacation interruption

Doshi, 1986, Queueing systems with vacations—a survey, Queueing Syst, 1, 29, 10.1007/BF01149327 Takagi, 1993 Servi, 2002, M/M/1 queues with working vacations (M/M/1/WV), Perform Eval, 50, 41, 10.1016/S0166-5316(02)00057-3 Wu, 2006, M/G/1 queue with multiple working vacations, Perform Eval, 63, 654, 10.1016/j.peva.2005.05.005 Baba, 2005, Analysis of a GI/M/1 queue with multiple working vacations, Oper Res Lett, 33, 201, 10.1016/j.orl.2004.05.006 Li, 2009, Analysis of the M/G/1 queue with exponentially working vacations—a matrix analytic approach, Queueing Syst, 61, 139, 10.1007/s11134-008-9103-8 Kim J.D., Choi D.W., Chae K.C.. Analysis of queue-length distribution of the M/G/1 queue with working vacations (M/G/1/WV). In: Proceedings of Hawaii international conference on statistics and related fields, June 5–8, 2003. Banik, 2007, On the GI/M/1/N queue with multiple working vacations—analytic analysis and computation, Appl Math Model, 31, 1701, 10.1016/j.apm.2006.05.010 Liu, 2007, Stochastic decomposition in the M/M/1 queue with working vacations, Oper Res Lett, 35, 596, 10.1016/j.orl.2006.12.007 Yu, 2009, Steady state analysis and computation of the GI[x]/Mb/1/L queue with multiple working vacations and partial rejection, Comput Ind Eng, 56, 1243, 10.1016/j.cie.2008.07.013 Gao S., Liu Z.. An M/G/1 queue system with single working vacation. In: Proceedings of the 2nd international conference on information engineering and computer science. 2010. pp. 1–4. Chae, 2009, The GI/M/1 queue and the GI/Geo/1 queue both with single working vacation, Perform Eval, 66, 356, 10.1016/j.peva.2009.01.005 Banik, 2010, Analysis of single working vacation in GI/M/1/N and GI/M/1/∞ queueing systems, Int J Oper Res, 7, 314, 10.1504/IJOR.2010.032111 Xu X., Li Y., Tian N.. Performance analysis for the Geom/G/1 queue with single working vacation. In: The proceedings of 5th international conference on queueing theory and network applications. 2010. pp. 9–14. Li, 2007, The discrete-time GI/Geo/1 queue with working vacations and vacation interruption, Appl Math Comput, 185, 1, 10.1016/j.amc.2006.07.008 Li, 2008, Performance analysis of GI/M/1 queue with working vacations and vacation interruption, Appl Math Model, 32, 2715, 10.1016/j.apm.2007.09.017 Zhang, 2010, Performance analysis of M/G/1 queue with working vacations and vacation interruption, J Comput Appl Math, 234, 2977, 10.1016/j.cam.2010.04.010 Gao, 2014, An M/G/1 retrial queue with general retrial times, working vacations and vacation interruption, Asia-Pac J Oper Res, 31, 10.1142/S0217595914400065 Zhang, 2011, Performance analysis of MAP/G/1 queue with working vacations and vacation interruption, Appl Math Model, 35, 1551, 10.1016/j.apm.2010.09.031 Laxmi, 2015, Impatient customer queue with Bernoulli schedule vacation interruption, Comput Oper Res, 56, 1, 10.1016/j.cor.2014.08.018 Gao, 2014, Discrete-time GIX/GEO/1/N queue with working vacations and vacation interruption, Asia-Pac J Oper Res, 31, 10.1142/S0217595914500031 Gao, 2013, An M/G/1 queue with single vacation and vacation interruption under Bernoulli schedule, Appl Math Model, 37, 1564, 10.1016/j.apm.2012.04.045 Wolff, 1982, Poisson arrivals see time averages, Oper Res, 30, 223, 10.1287/opre.30.2.223