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A Batch Arrival Queue with Bernoulli Vacation Schedule under Multiple Vacation Policy
Gautam Choudhury,Kailash C. Madan 한국경영과학회 2006 Management Science and Financial Engineering Vol.12 No.2
We consider an MX/G /1 queueing system with Bernoulli vacation schedule under multiple vacation policy, where after each vacation completion or service completion the server takes sequence of vacations until a batch of new customer arrive. This generalizes both MX/G /1 queueing system with multiple vacation as well as M /G /1 Bernoulli vacation model. We carryout an extensive analysis for the queue size distributions at various epochs. Further attempts have been made to unify the results of related batch arrival vacation models.
A Batch Arrival Queue with a Random Setup Time Under Bernoulli Vacation Schedule
Gautam Choudhury,Lotfi Tadj,Maduchanda Paul 한국경영과학회 2009 Management Science and Financial Engineering Vol.15 No.2
We consider an M<SUP>x</SUP>/G/1 queueing system with a random setup time under Bernoulli vacation schedule, where the service of the first unit at the completion of each busy period or a vacation period is preceded by a random setup time, on completion of which service starts. However, after each service completion, the server may take a vacation with probability p or remain in the system to provide next service, if any, with probability (1-p). This generalizes both the M<SUP>x</SUP>/G/1 queueing system with a random setup time as well as the Bernoulli vacation model. We carryout an extensive analysis for the queue size distributions at various epochs. Further, attempts have been made to unify the results of related batch arrival vacation models.