In queueing theory, a discipline within the mathematical theory of probability, an M/G/k queue is a queue model where arrivals are Markovian (modulated by a Poisson process), service times have a General distribution and there are k servers.
Dear Pasquale,
Thank you very much for the information...With best regards.
Mohamed.
A M/G/k queue is a model where arrivals are Poisson process, service times have a General distribution and there is one server and a buffer of size k-1. If the service time is determined for the exponential distribution the number of entities present in the system in any moment can be modeled like a Markov Chain in continuous time.
You may refer to a paper by J. MacGregor Smith, entitled: Properties and Performace Modelling of finite buffer M/G/1/K Networks.
http://www.ecs.umass.edu/mie/faculty/smith/cor_final_092910.pdf
You can also refer to my book Queueing Models, Second Edition, 2014, at https://www.novapublishers.com/catalog/product_info.php?products_id=42055&osCsid=989f8340426607a10330f93e06f7b42d
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