Optimal Strategy Analysis of Two-Phase, N-Policy of M/EK/1 Queuing System with System Break -Downs and Balking
Keywords:
Vacation, Start-up, Server Breakdowns, Balking, Cost model.Abstract
This Paper deals with the economic behaviour of the M/Ek/1 queue with server start-up, two-phases of compulsory service, and server breakdowns during both batch and individual services with balking under N-policy. The first phase of service is a batch service to all existing customers in the queue and the second phase of service is to each customer in the batch in
References
S. Anantha Lakshmi et.al (2008) : On Optimal Strategy Analysis of an N-policy MX/M/1Queuing System with a Removable and Non-Reliable Server, OPSEARCH, 45(1), 79-95. Ancker C. J., Gafarian A.,
Doshi, B.T. (1986). Queuing systems with vacations
Doshi, B.T. (1991). Analysis of a two phase queuing system with general service times. Operations Research Letters, 10, 265
Doshi.B.T (1985). A note on stochastic decomposition in GI/M/1 queue with vacations or start-up time. Journal of Applied Probability, 22, 419
Haight F. A., 1957,
Krishna, C.M. and Lee, Y.H. (1990). A study of two phase service. Operations Research Letters, 9, 91
Lee, H.S. and Srinivasan, M.M. (1989). Control policies for the MX/G/1 queuing systems. Management Science, 35(6), 708
Levy, Y. and Yechiali, U. (1975). Utilization of idle time in an M/G/1 queuing system. Management Science, 22, 202
Rakesh Kumar, Sumeet Kumar Sharma(2012), An M/M/1/N Queuing Model with Retention of Reneged Customers and Balking, American Journal of Operational Research 2012, 2(1): 1-5.
Takagi H. (1990). Time-dependent analysis of M/G/1 vacation models with exhaustive service. Queuing System, 6, 369
VasantaKumar.V and Chandan.K (2012). Optimal Strategy analysis of an N-policy Two-phase MX/Ek/1 gated Queuing system with server startup and Breakdowns. International Journal of Mathematical Archive-3(8),2012,3016-3027
Yadin, M. and Naor, P. (1963). Queuing Systems with a removable service station. Operational Research Quarterly, 14, 393
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