Collection of Customers: S.C Borst, a Correlated M.B. M/G/l Queue O.J. Boxma, Comb6* Science > The Netherlands CWI - Centre E-mail for Mathematics 1009 AB onno@cwi.nl January and Computer < O.J. Boxma P.O. Box 4079, Amsterdam, Abstract This in which on the the paper analyses times a variant of arriving between dependence of the ikl/G/l queue depend and corthe service length of the arrival. the case customers their bring them to a single-server service facility (e.g., the check-in count er of a hotel). Busses with unlimited customer capacity move according to a fixed route along the pick-up points, with fixed speed, collecting all waiting customers that they encounter and finally delivering all collected customers at the service facility. The intervals between the starts of successive bus tours are exponentially distributed. Because of the fixed tour length, the arrival process of busses at the service facility is a Poisson process. Viewing the batch of customers brought to the service facility by a bus as one supercustomer, the service facility M/G/l time of interval The arrival previous to structure responds to of customers arriving according an ordinary Poisson arrival process, and customer collectors being sent out according to a Poisson
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Collection of customers: a correlated M / G /1 queue
Borst, S. C.; Boxma, O. J.; Combé, M. B.
Follow ACM SIGMETRICS Performance Evaluation Review
, Volume 20 (1)
Association for Computing Machinery – Jun 1, 1992
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