SOME ASPECTS OF M/G/1 QUEUE WITH TWO DIFFERENT VACATION TIMES UNDER MULTIPLE VACATION POLICY

This paper deals with the steady state behavior of an M/G/1 queuing system with two different vacation times under multiple vacation policy, where length of the first vacation is different from the second and subsequent vacations. In this paper, attempts have been made to obtain the additional queue size distribution, distribution of additional delay and waiting time distribution of this model. Also, we obtain some important measures of this model.

[1]  Hideaki Takagi,et al.  Queueing analysis: a foundation of performance evaluation , 1993 .

[2]  Kin K. Leung On the Additional Delay in an M/G/1 Queue with Generalized Vacations and Exhaustive Service , 1992, Oper. Res..

[3]  Bharat T. Doshi Conditional and unconditional distributions forM/G/1 type queues with server vacations , 1990, Queueing Syst. Theory Appl..

[4]  K. Chae,et al.  MX/G/1 Vacation Models with N-Policy: Heuristic Interpretation of the Mean Waiting Time , 1995 .

[5]  Leonard Kleinrock,et al.  A Queue with Starter and a Queue with Vacations: Delay Analysis by Decomposition , 1986, Oper. Res..

[6]  B. T. Doshi,et al.  Queueing systems with vacations — A survey , 1986, Queueing Syst. Theory Appl..

[7]  S. Wittevrongel,et al.  Queueing Systems , 2019, Introduction to Stochastic Processes and Simulation.

[8]  Masakiyo Miyazawa,et al.  Decomposition formulas for single server queues with vacations : a unified approach by the rate conservation law , 1994 .

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

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

[11]  Hideaki Takagi Time-dependent process of M/G/1 vacation models with exhaustive service , 1992 .

[12]  Jacques Teghem,et al.  Control of the service process in a queueing system , 1986 .

[13]  Ho Woo Lee M/G/1 queue with exceptional first vacation , 1988, Comput. Oper. Res..