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On a Processor Sharing Queue that models balking

2009
We consider the processor sharing M/M/1-PS queue which also models balking. A customer that arrives and sees n others in the system "balks" (i.e., decides not to enter) with probability 1 - bn. If bn is inversely proportional to n + 1, we obtain explicit expressions for a tagged customer’s sojourn time distribution.
Zhen, Q.   +2 more
openaire   +2 more sources

AnRG-Factorization Approach for a BMAP/M/1 Generalized Processor-Sharing Queue

Stochastic Models, 2005
Quan-Lin Li   +2 more
exaly  

Reneging from Processor Sharing Systems and Random Queues

Mathematics of Operations Research, 1990
David Assaf, Moshe Haviv
exaly  

Law of Large Number Limits of Limited Processor-Sharing Queues

Mathematics of Operations Research, 2009
Jiheng Zhang, J G Dai, Bert Zwart
exaly  

Fluid Limits for Processor-Sharing Queues with Impatience

Mathematics of Operations Research, 2008
H Christian Gromoll, Bert Zwart
exaly  

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