References
- Avi-Itzhak , B. and Halfin , S. 1988 . Response times in M|M|1 timesharing schemes with a limited number of service positions . J.App. Prob , 25 : 579 – 595 .
- Avi-Itzhak , B. and Halfin , S. 1989 . Response times in gated M|G|1 queues: the processor-sharing case . QUESTA , 4 : 262 – 278 .
- Cohen , J. W. 1984 . On Processor-Sharing and Random Service . J.App. Prob , 21 : 937
- Coffman , E. G. , Muntz , R. R. and Trotter , H. 1970 . Waiting time distributions for processor-sharing systems . J.Assoc. Comp. Mach , 17 : 123 – 130 .
- Friedrichs , K. O. 1965 . Advanced Ordinary Differential Equations , New York : Gordon & Breach .
- Jagerman , D. L. and Sengupta , B. 1989 . A functional equation arising in a queue with a gating mechanism . Probability in the Engineering and Informational Sciences , 3 : 417 – 433 .
- Linz , P. 1985 . SIAM Studies in Applied Mathematics . Analytical and numerical methods for Volterra equations , 3
- Morrison , J. A. 1985 . Response-time distribution for a processor-sharing system,SIAM . J.App. Math , 45 ( 1 ) : 152 – 167 .
- Ott , T. J. 1984 . The sojourn time distribution in the M|G|1 queue with processor-sharing . J.App. Prob , 21 ( 1 ) : 360 – 378 .
- Ramaswami , V. 1984 . The sojourn time in the GI|M|1 queue with processor sharing . J.App. Prob , 21 ( 1 ) : 445 – 450 .
- Rega , K. M. and Sengupta , B. 1989 . A single server queue with gated processor-sharing discipline . QUESTA , 4 ( 1 ) : 249 – 261 .
- Rege , K. M. and Sengupta , B. “ The M|G|1 processor-sharing queue with bulk arrivals ” . submitted for publication
- Schassberger , R. 1984 . A new approach to the M|G|1 processor-sharing queue . Adv. App. Prob , 16 ( 1 ) : 202 – 213 .
- Sengupta , B. 1989 . A perturbation method for solving some queues with processor sharing discipline . J.App. Prob , 26 ( 1 ) : 209 – 214 .
- Sengupta , B. “ An approximation for the sojourn-time distribution for the GI|G|1 processor-sharing queue ” . submitted for publication
- Yamazaki , G. , Sakasegawa , H. and Shanthikumar , J. G. 1989 . A conservation law for single server queues and its applications . J.App. Prob , 26 ( 1 ) to appear in
- Yashkov , S. F. 1983 . A derivation of response time distribution for a M|G|1 processor-sharing queue . Problems of Control and Information Theory , 12 ( 1 ) : 133 – 148 .
- Yashkov , S. F. 1987 . Processor-sharing queues: Some progress in analysis . QUESTA , 2 ( 1 ) : 1 – 17 .