论文信息 - A poisson input queue under N-policy and with a general start up time

A poisson input queue under N-policy and with a general start up time

Abstract The paper examines the steady state behaviour of an M/G/1 queue under control operating policy and with a general start up time. Stochastic decomposition results of Fuhrmann and Cooper (Ops Res. 33, 1127–1129, 1985) for an M/G/1 queue with generalized vacation have been utilized in this study. The paper generalizes the results obtained by Borthakur et al. (Computers Ops Res. 14, 33–40, 1987)

James G. C. Templeton | Jyoti P. Medhi | J. Templeton | J. Medhi

[1] J. Medhi,et al. Stochastic models in queueing theory , 1991 .

[2] Robert B. Cooper,et al. Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations , 1985, Oper. Res..

[3] Ronald W. Wolff,et al. Poisson Arrivals See Time Averages , 1982, Oper. Res..

[4] Daniel P. Heyman,et al. Optimal Operating Policies for M/G/1 Queuing Systems , 1968, Oper. Res..

[5] S. Albin. On Poisson Approximations for Superposition Arrival Processes in Queues , 1982 .

[6] G. F. Newell. APPROXIMATIONS FOR SUPERPOSITION ARRIVAL PROCESSES IN QUEUES , 1984 .

[7] J. George Shanthikumar. On Stochastic Decomposition in M/G/1 Type Queues with Generalized Server Vacations , 1988, Oper. Res..

[8] J. Medhi,et al. Poisson input queueing system with startup time and under control-operating policy , 1987, Comput. Oper. Res..

[9] Kenneth R. Baker,et al. A Note On Operating Policies For The Queue M/M/1 With Exponential Startups , 1973 .

[10] J. Medhi,et al. Stochastic Processes , 1982 .

[11] Louis W. Miller. Technical Note - A Note on the Busy Period of an M/G/1 Finite Queue , 1975, Oper. Res..