N-Policy for State-Dependent Batch Arrival Queueing System with l-Stage Service and Modified Bernoulli Schedule Vacation

References

• Anabosi, R. F. and Madan, K. C. (2003). A single server queue with two types of service, Bernoulli schedule server vacations and a single vacation policy. Pakistan Journal of Statistics, 19(3), 331–342.
   Google Scholar
• Artalejo, J. R. and Choudhury, G. (2004): Steady state analysis of an M/G/1 queue with repeated attempts and two-phase service. Quality Technology and Quantitative Management, 1(2), 189–199.
   Google Scholar
• Arumuganathan, R. and Jeyakumar, S. (2005). Steady state analysis of a bulk queue with multiple vacations, setup times with N-policy and closedown times. Applied Mathematical Modelling, 29, 972–986.
   Google Scholar
• Atencia, I. and Moreno, P. (2005). A single-server retrial queue with general retrial times and Bernoulli schedule. Applied Mathematics and Computation, 162, 855–880.
   Google Scholar
• Atencia, I., Bouza, G. and Rico, R. (2002). A queueing system with constant repeated attempts and Bernoulli schedule. Proceeding on Fifth International Conference Operations Research, La Habana.
   Google Scholar
• Bacot, J. B. and Dshalalow, J. H. (2001). A bulk input queueing system with batch-gated service and multiple vacation policy. Mathematical and Computer Modelling, 34(78), 873–886.
   Google Scholar
• Chae, K. E. and Lee, H. W. (1995). M/G/1 vacation models with N-policy heuristic interpretation of the mean working time. Journal of Operations Research Society, 46(2), 258–264.
   Google Scholar
• Choi, B. D. and Park, K. K. (1990). The M/G/1 retrial queue with Bernoulli schedule. Queueing Systems, 7, 219–228.
   Google Scholar
• Choudhury, G. (1997). A Poisson queue under N-policy with a general setup time. Indian Journal of Pure and Applied Mathematics, 28, 1595–1608.
   Google Scholar
• Choudhury, G. (2007). A two phase batch arrival retrial queueing system with Bernoulli vacation schedule. Applied Mathematics and Computation, 188(2), 1455–1466.
   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 Madan, K. C. (2005). A two-stage batch arrival queueing system with a modified Bernoulli schedule vacation under N-policy. Mathematical and Computer Modelling, 42, 71–85.
   Google Scholar
• Choudhury, G. and Madhuchanda, P. (2004). A batch arrival queue with an additional service channel under N-policy. Applied Mathematics and Computation, 156, 115–130.
   Google Scholar
• Choudhury, G., Tadj, L. and Paul, M. (2007). Steady state analysis of an M/G/1 queue with two-phase service and Bernoulli vacation schedule under multiple vacation policy. Applied Mathematical Modelling, 31(6), 1079–1091.
   Google Scholar
• Feng, W., Kowada, M. and Adachi, K. (1998). A two-queue model with Bernoulli service schedule and switching times. Queueing Systems, 30, 405–434.
   Google Scholar
• Harris, C. M. and Marchal, W. G. (1988). State dependence in M/G/1 server vacation models. Operations Research, 36, 560–565.
   Google Scholar
• Ke, J. C. (2003). The optimal control of an M/G/1 queueing system with server vacations, startup and breakdowns. Computer and Industrial Engineering, 44(4), 567–579.
   Google Scholar
• Ke, J. C. (2006). On M/G/1 system under NT policies with breakdowns, startup and closedown. Applied Mathematical Modelling, 30, 49–66.
   Google Scholar
• Ke, J. C. (2007). Batch arrival queues under vacation policies with server breakdowns and startup/closedown times. Applied Mathematical Modelling, 31(7), 1282–1292.
   Google Scholar
• Keilson, J. and Servi, L. D. (1986). Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedule. Journal of Applied Probability, 23, 790–802.
   Google Scholar
• Kella, O. (1989). The threshold policy in the M/G/1 queue with server vacations. Naval Research Logistics Quarterly, 36, 111–123.
   Google Scholar
• Lee, H. S. and Srinivasan, M. M. (1989). Control policies for the M X /G/1 queueing system. Management Sciences, 35, 708–721.
   Google Scholar
• Lee, H. W., Lee, S. S. and Chae, K. C. (1994). Operating characteristics of M X /G/1 queue with N-policy. Queueing Systems, 15, 205–219.
   Google Scholar
• Madan, K. C. (2000). On a single server queue with two stage general heterogeneous service and binomial schedule server vacations. Egypt Statistical Journal, 44, 39–55.
   Google Scholar
• Madan, K. C. (2001). On a single server queue with two stage general heterogeneous service and deterministic server vacations. International Journal of System Sciences, 32, 837–844.
   Google Scholar
• Madan, K. C. and Abu Al-Rub, A. (2004). Transient and steady state solution of a single server queue with modified Bernoulli schedule vacations based on exhaustive service and a single vacation policy. Revista Investigation Operational, 25(2), 158–165.
   Google Scholar
• Medhi, J. and Templeton, J. G. C. (1992). A Poisson input queue under N-policy and with a general start-up time. Computers and Operations Research, 19, 35–41.
   Google Scholar
• Ramaswami, R. and Servi, L. D. (1988): The busy period of the M/G/1 vacation model with a Bernoulli schedule. Stochastic Modelling, 4(3), 507–521.
   Google Scholar
• Selvam, D. D. and Sivasankaran, V. A. (1994). A two-phase queueing system with server vacations. Operations Research Letters, 15, 163–168.
   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
• Wang, K. H., Wang, T. Y. and Pearn, W. L. (2007). Optimal control of the N-policy M/G/1 queueing system with server breakdowns and general startup times. Applied Mathematical Modelling, 31(10), 2199–2212.
   Google Scholar