Optimal Strategy Analysis of an N-Policy Two-Phase M^X/E_k/1 Queueing System with Server Startup and Breakdowns

References

• Anantha Lakshmi, S. Afthab Begum, M. L. and Swaroopa Rani, S. (2008). Optimal Strategy Analysis of an N-policy M/M /1 queueing system with a removable and non-reliable server. OPSEARCH, 45(1), 79–95.
   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
• Baker, K. R. (1973). A note on operating policies for the queue M/M/1 with exponential startup. INFOR, 11, 71–72.
   Google Scholar
• Borthakur, A., Medhi, J. and Gohain, R. (1987). Poisson input queueing systems with startup time and under control operating policy. Computers and Operations Research, 14, 33–40.
   Google Scholar
• Choudhury, G. and Deka, K. (2008). An M/G/1 retrial queueing system with two phases of service subject to the server breakdown and repair. Performance Evaluation, 65, 714–724.
   Google Scholar
• Choudhury, G., Ke, J. C. and Tadj, L. (2009). The N-policy for an unreliable server with delaying repair and two phases of service. Journal of Computational and Applied Mathematics, 231, 349–364.
   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 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 Paul, M. (2006). A batch arrival queue with a second optional service under N-policy. Stochastic Analysis and Applications, 24, 1–21.
   Google Scholar
• Choudhury, G. and Tadj, L. (2009). An M/G /1 queue with two phases of service subject to the server breakdown and delayed repair. Applied Mathematical Modelling, 33, 2699–2709.
   Google Scholar
• Doshi, B. T. (1991). Analysis of a two-phase queueing system with General Service Times. Operations Research Letters, 10, 265–272.
   Google Scholar
• Haridas, M. and Arumuganathan, R. (2008). Analysis of a Bulk Queue with Unreliable Server and Single Vacation. International Journal of Open Problems in Computer Science and Mathematics, 1 (2), 130–148.
   Google Scholar
• Hur, S. and Paik, S. J. (1999). The effect of different arrival rates on the N-policy of M/G/1 with server startup. Applied Mathematical Modelling, 23, 289–299.
   Google Scholar
• Ke, J. C. (2001). The control policy of an M[x]/G/1 queueing system with server startup and two vacation types. Mathematical Methods of Operations Research, 54, 471490.
   Google Scholar
• Ke, J. C. (2003). Optimal strategy policy in batch arrival queue with server breakdowns and multiple vacations. Mathematical Methods of Operations Research, 58, 41–56.
   Google Scholar
• Ke, J. C. (2004). Bi-level control for batch arrival queues with an early startup and un reliable server. Applied Mathematical Modelling, 28, 469–485.
   Google Scholar
• Ke, J. C. and Lin, C. H. (2008). Maximum entropy approach for batch-arrival queue under N-policy with an un reliable server and single vacation. Journal of Computational and Applied Mathematics, 221, 1–15.
   Google Scholar
• Kim, T. S. and Chae, K. C. (1998). A two-phase queueing system with threshold. Global Telecommunications Conference (GLOBECOM98), The Bridge to Global Integration IEEE, 1, 502–507.
   Google Scholar
• Krishna, C. M. and Lee, Y. H. (1990). A study of two-phase service. Operations Research Letters, 9, 91–97.
   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 Operations Research, 25, 957–967.
   Google Scholar
• Lee, H. W. and Park, J. O. (1997). Optimal strategy in N-policy production system with early setup. Journal of Operational Research Society, 48, 306–313.
   Google Scholar
• Medhi, J. and Templeton, J. G. C. (1992). A Poisson input queue under N-policy and with a general startup time. Computers Operations Research, 19, 34–41.
   Google Scholar
• Minh, D. L. (1988). Transient solution for some exhaustive M/G/1 queues with generalized independent vacations. European Journal of Operational Research, 36, 197201.
   Google Scholar
• Selvam, D. and Sivasankaran, V. (1994). A two-phase queueing system with server vacations. Operations Research Letters, 15(3), 163–169.
   Google Scholar
• Tadj, L. and Choudhury, G. (2009). A quorum queueing system with an unreliable server. Applied Mathematics Letters, 22, 1710–1714.
   Google Scholar
• Vasanta Kumar, V. and Chandan, K. (2007). Cost analysis of a two-phase M/M/1 queueing system with N-policy and gating. Proceedings of Andhra Pradesh Academy of Sciences, 11(3), 215–222.
   Google Scholar
• Vasanta Kumar, V. and Chandan, K. (2008). Cost analysis of a two-phase MX/Ek/1 queueing system with N-policy. OPSEARCH, 45(2), 155–174.
   Google Scholar
• Wang, J. (2004). An M/G /1 queue with second optional service and server breakdowns. Computers and Mathematics with Applications, 47, 1713–1723.
   Google Scholar
• Wang, K. H. (1995). Optimal operation of a Markovian queueing system with removable and non-reliable server. Microelectronics Reliability, 35, 1131–1136.
   Google Scholar
• Wang, K. H. (1997). Optimal control of an M X/Ek/1 queueing system with removable service station subject to breakdowns. Journal of the Operational Research Society, 48, 936–942.
   Google Scholar
• Wang, K. H., Chang, K. W. and Sivazlian, B.D. (1999). Optimal control of a removable and non-reliable server in an infinite and a finite M/H2/1 queueing system. Applied Mathematical Modelling, 23, 651–666.
   Google Scholar
• Wang, K. H, Kao, H. T. and Chen, G. (2004). Optimal management of a removable and non-reliable server in an infinite and a finite M/Hk/1 queueing system. Quality Technology & Quantitative Management, 1(2), 325–339.
   Google Scholar
• Wang, K. H., and Ke, J. C. (2002). Control policies of an M/G/1 queueing system with a removable and non-reliable server. International Transactions in Operational Research, 9, 195–212.
   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 start up times. Applied Mathematical Modelling, 31, 2199–2212.
   Google Scholar