Title:
The State Probabilities of the System M|M|m|n with theWaiting Time Restriction
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Uncontrolled Keywords:
Multiprocessor cluster-type system ; Cluster computing ; Queueing theory ; Multiprocessor queueing system ; Waiting time restriction
Abstract:
The queue state in multiprocessor computing systems is an actual problem for their use in the process of tasks scheduling. In this paper, a system of differential equations is obtained describing the probabilities of the system state at time t, which can be solved using numerical methods. However, the probabilities sought-for the system M|M|m|n with a constraint on the residence time can be obtained in terms of the Laplace-Stieltjes transform.
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Institute for Informatics and Automation Problems of NAS RA