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Inversion order of service with probability priority in a service system with non-ordinary input flow. (Russian) Zbl 0697.90030
Mat. Issled. 109, 83-104 (1989).
[For the entire collection see Zbl 0664.00021.]
The author studies a general model of a single channel bulk arrival queueing system. The input process is Markov and the rate of arrival depends on the number of customers in the system. Jobs from a bulk can have dependent length. The queueing discipline is defined by the order of jobs in the queue. This order can change only at the arrival moments dependent on the lengths of arrived jobs and the length of the serviced job. Some general relations for steady state probabilities are obtained. These results are then applied to some special cases.
Reviewer: G.Falin

MSC:
90B25 Reliability, availability, maintenance, inspection in operations research
60K25 Queueing theory (aspects of probability theory)
Full Text: EuDML