A Non-Markovian Bulk Queue with Multiple Vacations and Control Policy on Request for Re-Service

References

• Arumuganathan, R. and Jeyakumar, S. (2004). Analysis of a bulk queue with multiple vacations and closedown times. International Journal of Information and Management Sciences, 15(1), 45–60.
   Google Scholar
• Choudhury, G. (2003). Some aspects of an M/G /1 queueing system with optional second service. TOP, 11(1), 141–150.
   Google Scholar
• Choudhury, G. and Paul, M. (2004). A batch arrival queue with an additional service channel under N-policy. Applied Mathematics and Computation, 156, 115–130.
   Google Scholar
• Choudhury, G. and Madan, K. C. (2004). A two-phase batch arrival queueing system with a vacation time under Bernoulli schedule. Applied Mathematics and Computation, 149, 337–349.
   Google Scholar
• Choudhury, G. and Paul, M. (2004). Analysis of a two phase batch arrival queueing model with Bernoulli vacation schedule. Revista Investigation Operacional, 25, 3, 217–228.
   Google Scholar
• Choudhury, G. and Madan, K. C. (2005). A two-stage arrival queueing system with a modified Bernoulli schedule vacation under N-policy. Mathematical and Computer Modelling, 42, 71–85.
   Google Scholar
• Cox, D. R. (1965). The analyses of non-markovian stochastic processes by the inclusion of supplementary variables. Mathematical Proceedings of the Cambridge Philosophical Society, 51, 433–441.
   Google Scholar
• Doshi, B. T. (1986). Queueing systems with vacations: a survey. Queueing Systems, 1, 29–66.
   Google Scholar
• Doshi, B. T. (1990). Single-server queues with vacations. In H. Takagi (Ed.) Stochastic Analysis of Computer and Communication Systems, 217–265, Noth-Holland, Amsterdam.
   Google Scholar
• Kim, T. S. and Park, A. Q. (2003). Cycle analysis of a two-phase queueing model with threshold. European Journal of Operational Research, 144, 157–165.
   Google Scholar
• Krishna Reddy, G. V., Nadarajan, R. and Arumuganathan, R. (1998). Analysis of a bulk queue with N- Policy multiple vacations and setup times. Computers and Operations Research, 25(11), 957–967.
   Google Scholar
• Lee, H. S. (1991). Steady state probabilities for the server vacation model with group arrivals and under control operation policy. Journal of the Korean Mathematical Society, 16, 36–48.
   Google Scholar
• Lee, H. W., Lee, S. S., Park, J. O. and Chae, K. C. (1994). Analysis of the MX/G /1 queue with N- policy and multiple vacations. Journal of Applied Probability, 31, 476–496.
   Google Scholar
• Madan, K. C. (2000). An M/G /1 queue with optional second service. Queueing Systems, 34, 37–46.
   Google Scholar
• Madan, K. C. (2001). On a single server queue with two stage general heterogeneous Service and deterministic schedule server vacations. International Journal of System Science, 32, 837–844.
   Google Scholar
• Madan, K. C., Al-Nasser, A. D. and Al-Masri, A. Q. (2004). On MX/G(G1, G2)/1 queue with optional re-service. Applied Mathematics and Computation, 152, 71–88.
   Google Scholar
• Medhi, J. (2002). Stochastic Models in Queueing Theory. Second edition, Academic Press, USA.
   Google Scholar
• Neuts, Marcel. F. (1967). A General class of bulk queues with Poisson input. Annals of Mathematical Statistics, 38, 759–770.
   Google Scholar
• Tadj, L. (2003). On a bilevel bulk queueing system under T-policy. Journal of Statistical Research, 7(2), 127–144.
   Google Scholar
• Tadj, L. and Choudhury, G. (2005). Optimal design and control of queues, TOP, 13(1), 359–414.
   Google Scholar
• Tadj, L. and Ke, J. C. (2005). Control policy of a hysteretic bulk queueing system, Mathematical and Computer Modelling, 41, 571–579.
   Google Scholar
• Tadj, L., Choudhury, G. and Tadj, C.(2006). A bulk quorum queueing system with a random setup time under N- policy and with Bernoulli vacation schedule. Stochastics: An International Journal of Probability and Stochastic Processes, 78(1), 1–11.
   Google Scholar
• Tadj, L. and Ke, J. C. (2008). A hysteretic bulk quorum queue with a choice of service and optional re-service. Quality Technology & Quantitative Management, 5(2), 161–178.
   Google Scholar
• Takagi, H. (1991). Queueing Analysis: A Foundation of Performance Evaluation, Vol. I: Vacations and Priority Systems. North Holland.
   Google Scholar
• Wang, J. (2004). An M/G/1 queue with optional second service and server breakdowns. Computers and Mathematics with Applications, 47, 1713–1723.
   Google Scholar