The Steady State Distribution for M|M|m|n Model with the Waiting Time Restriction-Reference-Cited by-同舟云学术

The Steady State Distribution for M|M|m|n Model with the Waiting Time Restriction

Published:2020-12-25 Issue: Volume: Page:34-40
ISSN:2579-2784
Container-title:Mathematical Problems of Computer Science
language:en
Short-container-title:

Author:

Sahakyan Vladimir¹,Vardanyan Artur¹

Affiliation:

1. Institute for Informatics and Automation Problems of NAS RA

Abstract

The queue state in multiprocessor computing systems is an actual problem for the process of optimal scheduling of tasks. In this paper, a system of equations is obtained describing the distribution of the queue for the system in a steady state. The resulting linear system of equations is solved using conventional numerical methods and can be used in schedulers.

Publisher

Institute for Informatics and Automation Problems - NAS RA

Subject

General Medicine

Reference4 articles.

1. P. P. Bocharov, C. D'Apice, A.V.Pechinkin and S. Salerno, Queueing Theory, VSP, Utrecht, Boston, 2004.

2. A.Vardanyan and V . Sahakyan, The queue distribution in multiprocessor systems with the waiting time restriction",Mathematical Problems of Computer Science, Yerevan, Armenia, vol. 51 , pp. 82-89, 2019.

3. V.Sahakyan and A.Vardanyan, The state probabilities of the system M|M|m|n with the waiting time restriction" , Proceedings of International Conference Computer Science and Information Technologies, Yerevan, Armenia, pp.181-184,2019.

4. V .Sahakyan and A .Vardanyan, The queue state for multiprocessor system with waiting time restriction" , CSIT 2019 Revised Selected Papers, Publisher IEEE, DOI: 10.1109/CSITechnol.2019.8895093, pp.116-119,2019.

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