A Many Server Queueing Problem with Variable Departures | Zendy

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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.

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