Stationary analysis of a fluid queue driven by an M / M / 1 queue with working vacation

References

• Adan, I., & Resing, J. (1996). Simple analysis of a fluid queue driven by an M/M/1 queue. Queueing System, 22, 171–174.
   Web of Science ®Google Scholar
• Aggarwal, V., Gautam, N., Kumara, S. R. T., & Greaves, M. (2005). Stochastic fluid flow models for determining optimal switching thresholds. Performance Evaluation, 59, 19–46.
   Web of Science ®Google Scholar
• Ammar, Sherif I. (2014). Analysis of an M/M/1 driven fluid queue with multiple exponential vacations. Applied Mathematics and Computation, 227, 329–334.
   Web of Science ®Google Scholar
• Baek, J. W., Lee, H. W., Lee, S. W., & Ahn, S. (2011). A MAP -modulated fluid flow queueing model under workload control. Numerical Linear Algebra with Applications, 18, 897–1083.
   Google Scholar
• Bekker, R., & Mandjes, M. (2009). A fluid model for a relay node in an ad noc network: The case of heavy-tailed input. Mathematical Methods of Operations Research, 70, 357–384.
   Web of Science ®Google Scholar
• Gao, S., & Wang, J. (2013). Discrete time Geox/G/1 retrial queue with general retrial times, working vacations and vacation interruption. Quality Technology and Quantitative Management, 10, 495–512.
   Web of Science ®Google Scholar
• Gao, S., & Yin, C. (2013). Discrete-time Geox/G/1 queue with geometrically working vacations and vacation interruption. Quality Technology and Quantitative Management, 10, 423–442.
   Web of Science ®Google Scholar
• Huo, Z., Jin, S., & Tian, N. (2008). Performance analysis and evaluation for connection-oriented networks based on discrete time vacation queueing model. Quality Technology and Quantitative Management, 5, 51–62.
   Google Scholar
• Jain, M., & Upadhyaya, S. (2009). Threshold N-policy for degraded machining system with multiple type spares and multiple vacations. Quality Technology and Quantitative Management, 6, 185–203.
   Web of Science ®Google Scholar
• Kulkarni, V. G., & Yan, K. (2007). A fluid model with upward jumps at the boundary. Queueing Systems, 56, 103–117.
   Web of Science ®Google Scholar
• Latouche, G., & Taylor, P. G. (2009). A stochastic fluid model for an ad hoc mobile network. Queueing Systems, 63, 109–129.
   Web of Science ®Google Scholar
• Mao, B., Wang, F., & Tian, N. (2010a). Fluid model driven by an M/M/1/N queue with single exponential vacation. International Journal of Information and Management Sciences, 21, 29–40.
   Google Scholar
• Mao, B., Wang, F., & Tian, N. (2010b). Fluid model driven by an M/M/1/N queue with multiple exponential vacations. Journal of Computational Information Systems, 6, 1809–1816.
   Google Scholar
• Mao, B., Wang, F., & Tian, N. (2011). Fluid model driven by an M/G/1 queue with multiple exponential vacations. Applied Mathematics and Computation, 218, 4041–4048.
   Web of Science ®Google Scholar
• Mao, B., Wang, F., & Tian, N. (2012). Fluid model driven by an M/M/1 queue with multiple exponential vacations and N-policy. Journal of Applied Mathematics and Computation, 38, 119–131.
   Google Scholar
• Mitra, D. (1988). Stochastic theory of a fluid model of producers and consumers couple by a buffer. Advance in Applied Probability, 20, 646–676.
   Web of Science ®Google Scholar
• Moler, C., & Van Loan, C. (1978). Nineteen dubious ways to compute the exponential of a matrix. SIAM Review, 20(4), 801–836.
   Web of Science ®Google Scholar
• Narayanan, C. V., Deepak, T. G., Krishnamoorthy, A., & Krishnakumar, B. (2008). On an (s, S) inventory policy with service time, vacation to server and correlated lead time. Quality Technology and Quantitative Management, 5, 129–143.
   Google Scholar
• Parthasarathy, P. R., Vijayashree, K. V., & Lenin, R. B. (2002). An M/M/1 driven fluid queue-continued fraction approach. Queueing sytems, 42, 189–199.
   Web of Science ®Google Scholar
• Ren, J. (2009). Perturbed risk processes analyzed as fluid flows. Stochastic Models, 25, 522–544.
   Web of Science ®Google Scholar
• Sericola, B., & Tuffin, B. (1999). A fluid queue driven by a Markovian Queue. Queueing Systems, 31, 253–264.
   Web of Science ®Google Scholar
• Servi, L. D., & Finn, S. G. (2002). M/M/1 queues with working vacations (M/M/1/WV). Performance Evaluation, 50, 41–52.
   Web of Science ®Google Scholar
• Tzenova, E., Adan, I., & Kulkarni, V. G. (2005). Fluid models with jumps. Stochastic Models, 21, 37–55.
   Web of Science ®Google Scholar
• Veatch, M., & Senning, J. (2009). Fluid analysis of an input control problem. Queueing Systems, 61, 87–112.
   Web of Science ®Google Scholar
• Vijaya Lakxmi, P., Goswami, V., & Jyothsna, K. (2013). Analysis of discrete-time single server queue with balking and multiple working vacations. Quality Technology and Quantitative Management, 10, 443–456.
   Web of Science ®Google Scholar
• Vijayashree, K. V., & Anjuka, A. (2013). Stationary Analysis of an M/M/1 driven fluid queue subject to catastrophes and subsequent repair. IAENG International Journal of Applied Mathematics, 43, 238–241.
   Google Scholar
• Virtamo, J., & Norros, I. (1994). Fluid queue driven by an M/M/1/ queue. Queueing Systems, 16, 73–386.
   Google Scholar
• Wang, F., Mao, B. & Tian, N. (2010). Fluid model driven by an M/M/1/ queue with multiple exponential vacation. The 2nd international conference on advaned computer control. Vol. 3, p. 112-115.
   Google Scholar
• Xu, X., Geng, J., Liu, M., & Guo, H. (2013). Stationary analysis for the fluid model driven by the M/M/c working vacation queue. Journal of Mathematical Analysis and Applications, 403, 423–433.
   Web of Science ®Google Scholar
• Xu, X., Zhao, Y., Geng, J., & Jin, S. (2013). Analysis for the fluid model driven by an M/PH/1 queue. Journal of Information and computational sciences, 10, 3489–3496.
   Google Scholar
• Yan, K., & Kulkarni, V. G. (2008). Optimal inventory policies under stochastic production and demand rates. Stochastic Models, 24, 173–190.
   Web of Science ®Google Scholar