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In this investigation, we have studied the single server queueing model with vacation, wherein arrivals of units are in bulk.
Moreover, Singh et al. (2012) investigated an M/G/1 queueing model with vacation and used the generating function method for obtaining various performance measures.
Singh et al. (2012) have studied the steady state behavior of a single server queueing model with vacation and varying arrival rates.
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Due to its critical applications, queueing model with server vacation can be applied in many systems operating in machining environment in different setup.
In the present section, we frame the expected total cost function (ETC) for the retrial queueing model with modified vacation policy under consideration.
Recently, Dimitriou (2012) studied a mixed priority retrial queueing model with multiple vacations and negative customers.
Omey and Gulck (2008) did maximum entropy analysis of an MX/M/1 queueing model with multiple vacations and server breakdowns.
We form the M/G/1 queue model with server vacations, startup and closedown to analysis the performance metrics to instruct the design of load-balancing and energy-saving policies.
Computers & Industrial Engineering, 52, 192 202] elaborate on an interesting approach to estimate the equilibrium distribution for the number of customers in the M[x]/M/1 queueing model with multiple vacations and server breakdowns.
The queueing model with setup and vacation was considered by [Choudhury (2000]).
Europeans have boasted about their social model, with its generous vacations and early retirements, its national health care systems and extensive welfare benefits, contrasting it with the comparative harshness of American capitalism.
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