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.
oai:noad.sci.am:136225
Institute for Informatics and Automation Problems of NAS RA
May 3, 2021
May 3, 2021
14
https://noad.sci.am/publication/149790
Edition name | Date |
---|---|
Vardanyan Artur, The State Probabilities of the System M|M|m|n with theWaiting Time Restriction | May 3, 2021 |
Vardanyan Artur Sahakyan Vladimir