A < V, p>-Policy Queueing System with Startup/Closedown Times

References

• Chang, S. H. and Choi, D. W. (2005). Performance analysis of a finite-buffer discrete-time queue with bulk arrival, bulk service and vacations. Computers & Operations Research, 32, 2213–2234.
   Google Scholar
• Doshi, B. T. (1986). Queueing systems with vacations — a survey. Queueing Systems, 1, 29–66.
   Google Scholar
• Goswami, V. and Mund, G. B. (2010). Analysis of a discrete-time GI/Geo/1/N queue with multiple working vacations. Journal of Systems Science and Systems 19, 367–384.
   Google Scholar
• Goswami, V. and Mund, G. B. (2011). Analysis of discrete-time batch service renewal input queue with multiple working vacations. Computers & Industrial Engineering 61, 629–636.
   Google Scholar
• Hunter, J. J. (1983). Mathematical Techniques of Applied Probability, Volume 2, Discrete Time Models: Techniques and Applications. Academic, New York.
   Google Scholar
• Kyung, C. C., Lee, S.-M. and Lee, S.-H. (2008). The discrete-time GI/Geo/1 queue with single geometric vacation. Quality Technology & Quantitative Management, 5, 21–31.
   Google Scholar
• Luo, C., Xiang, K., Yu, M. and Tang, Y. (2011). Recursive solution of queue length distribution for Geo/G/1 queue with single server vacation and variable input rate. Computers and Mathematics with Applications, 61, 2401–2411.
   Google Scholar
• Luo, C., Tang, Y., Chao, B. and Xiang, K. (2013). Performance analysis of a discrete-time Geo/G/1 queue with randomized vacations and at most J vacations. Applied Mathematical Modelling, 37, 6489–6504.
   Google Scholar
• Li, J. and Tian, N. (2007).The discrete-time GI/Geo/1 queue with working vacations and vacation interruption. Applied Mathematics & Computation, 185, 1–10.
   Google Scholar
• Li, J. and Tian, N. (2008). Analysis of the discrete time Geo/Geo/1queue with single working vacation. Quality Technology & Quantitative Management, 5, 77–89.
   Google Scholar
• Ma, Y., Liu, W., and Li, J. (2013). Equilibrium balking behavior in the Geo/Geo/1 queueing system with multiple vacations. Applied Mathematical Modelling, 37, 3861–3878.
   Google Scholar
• Moreno, P. (2009). A discrete-time single-server queueing system under multiple vacations and setup-closedown times. Stochastic Analysis & Applications, 27, 221–239.
   Google Scholar
• Samanta S. K., Chaudhry, M. L., and Gupta, U. C. (2007). Discrete-time GeoX/G(a,b)/1/N queues with single and multiple vacations. Mathematical & Computer Modelling, 45, 93–108.
   Google Scholar
• Samanta S. K., Gupta, U. C. and Sharma, R. K . (2007). Analysis of finite capacity discrete-time GI/Geo/1 queueing system with multiple vacations. Journal of the Operational Research Society, 58, 368–377.
   Google Scholar
• Samanta, S. K. (2009). Analysis of a discrete-time GI/Geo/1 queue with single vacation. International Journal of Operational Research, 5, 292–310.
   Google Scholar
• Takagi, H. (1991). Queueing Analysis: A Foundation of Performance Evaluation, Volume 2, Vacation and Priority Systems. North-Holland, Amsterdam.
   Google Scholar
• Takagi, H. (1993). Queueing Analysis: A Foundation of Performance Evaluation, Volume 3, Discrete-Time Systems. North-Holland, Amsterdam.
   Google Scholar
• Tang, Y., Yun, X., and Huang, S. (2008). Discrete-time GeoX/G/1 queue with unreliable server and multiple adaptive delayed vacations. Journal of Computational and Applied Mathematics, 220, 439–455.
   Google Scholar
• Tian, N. and Zhang, Z. G. (2002). The discrete-time GI/Geo/1 queue with multiple vacations. Queueing Systems, 40, 283–294.
   Google Scholar
• Tian, N. and Zhang, Z. G. (2006). Vacation Queueing Models: Theory and Applications. Springer-Verlag, New York.
   Google Scholar
• Wang, T.-Y., Ke, J.-C., and Chang, F.-M. (2011). On the discrete-time Geo/G/1 queue with randomized vacations and at most J vacations. Applied Mathematical Modelling, 35, 2297–2308.
   Google Scholar
• Wang, T.-Y., Ke , J.-C., and Chang, F.-M. (2013). Analysis of a discrete-time queue with server subject to vacations and breakdowns. Journal of Industrial and Production Engineering, 30, 54–66.
   Google Scholar
• Zhang, Z. G. and Tian, N. (2001). Geo/G/1 queue with multiple adaptive vacations. Queueing Systems, 38, 419–429.
   Google Scholar