Pollaczek-Khinchin formula for the M/G/1 queue in discrete time with vacations

IEE Proceedings: Computers and Digital Techniques

Volumn 144, Issue 4, 1997, Pages 222-226

  Chan, W C ^a   Lu, T C ^b   Chen, R J ^a  

^a UNIVERSITY OF CALGARY   (Canada)

^b NATIONAL CHIAO TUNG UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

DISCRETE TIME CONTROL SYSTEMS; MATHEMATICAL MODELS; RANDOM PROCESSES;

LITTLE'S FORMULA; POLLACZEK KHINCHIN MEAN VALUE FORMULA;

COMPUTER NETWORKS;

EID: 0031190256     PISSN: 13502387     EISSN: None     Source Type: Journal    
DOI: 10.1049/ip-cdt:19971225     Document Type: Article

References (8)

1. COOPER, R.B.: 'Queues served in cyclic order: Waiting times', Bell Syst. Tech. J., 1970, 49, pp. 399-113
2. LEVY, Y., and YECHIALI, U.: 'Utilization of idle time in an M/ G/l queueing system', Manage. Sei., 1975, 22, pp. 202-211
3. HEYMAN, O.P.: The T-policy for the M/G/1 queue', Manage. Sei., 1977, 23, pp. 775-778
4. SCHOLL, M., and KLEINROCK, L.: 'On the M/G/1 queue with rest period and certain service-independent queueing disciplines', Oper. Res., 1983, 31, pp. 705-719
5. FUHRMANN, S.W.: 'A note on the M/G/1 queue with server vacations', Oper. Res.. 1984, 32, (6), pp. 1368-1373
6. FUHRMANN, S.W., and COOPER, R.B.: 'Stochastic decompositions in the M/G/1 queues with generalized vacations', Oper. Res., 1985, 33, (5), pp. 117-1129
7. BRUNEEL, H., and KIM, B.: 'Discrete-time models for communication systems including ATM' (Kluwer Academic, Boston, 1993)
8. KLEINROCK, L.: 'Queueing systems, vol. 1: theory' (John Wiley & Sons, New York, 1975)