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A Many Server Queueing Problem with Variable Departures
Author(s) -
Sharda
Publication year - 1969
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19690490306
Subject(s) - poisson distribution , queue , variable (mathematics) , queueing theory , bulk queue , distribution (mathematics) , queueing system , computer science , channel (broadcasting) , service (business) , mathematics , computer network , statistics , mathematical analysis , economics , economy
The present paper studies the behaviour of a queueing system in which arrivals form a Poisson distribution and departures occur in batches of variable size. Service is accomplished in M parallel channels and each channel has the same fixed capacity of serving at the most K units. Service is ordered and instantaneous. The distribution functions for the queue length for different cases are obtained. Steady state behaviour and a few particular cases are discussed.