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Distribution of number of jobs in a feedback processor-sharing queue. (English) Zbl 0582.90034

Annu. Rev. Autom. Program. 12, part 1, 464-468 (1985).
This paper gives the solution of an open problem of determining the queue-length distribution in an \(M^ c/G/1\) system with feedback processor-sharing and batch arrivals. This model is a limiting case of the foreground-background scheduling algorithm in computer time-sharing systems.

MSC:

90B22 Queues and service in operations research
68M20 Performance evaluation, queueing, and scheduling in the context of computer systems
60K25 Queueing theory (aspects of probability theory)
90B35 Deterministic scheduling theory in operations research