HIGH TECH IN EARTH SPACE RESEARCH

PREDICTION OF RELIABILITY OF CLUSTER COMPUTING SYSTEM USING SEMI-MARKOV MODEL OF ALTERNATING PROCESSES AND MONITORING

Khomonenko A.D., Blagoveshchenskaya E.A., Prourzin O.B., Andruk A.A.

Approach to calculation of characteristics of reliability of the cluster computing system from two interchangeable servers is offered. The purpose of article consists in the increase in accuracy of calculation of characteristics of reliability of cluster system reached by introduction of premises about not exponential distribution of duration of trouble-free operation and restoration of servers.

The semi-Markov model of such system in the form of two conditionally independent accidental processes of restoration is described. For accounting not of the exponential law of distributions of duration of trouble-free operation and restoration of servers of a cluster two-dimensional process until a double failure is considered. In case of any start state when one server works, and another – is not present, the moment of a double failure comes when both servers are in repair state. As an index of reliability of a computing cluster the average time of trouble-free operation of a cluster determined through probability to find cluster system in working order in arbitrary time point is used. Use of analytical expressions for calculation of average time of trouble-free operation of a computing cluster from two servers, one of which is in a hot reserve, is justified. At the same time important distinctive feature of the considered semi-Markov model of reliability of a computing cluster is that duration of restoration of the failed server can have arbitrary distribution law. For specification of characteristics of reliability of the cluster computing system the possibility of use of work benches of monitoring is discussed. Results of numerical calculations of characteristics of reliability of the cluster computing system are given. The main result – the analytical impact assessment of coefficient of a variation not of exponential distribution of duration of restoration of the server in the used reliability model on value of average time of trouble-free operation of a cluster showing as far as the accuracy of calculation of this index of reliability of the cluster computing system from two interchangeable servers increases. Feasibility of specification of characteristics of reliability of the cluster computing system by means of work benches of monitoring is justified.

The subject of published articles on the nomenclature of specialties

2.2.15 Systems, networks and telecommunications (technical sciences)

2.3.1 System analysis, management and processing of information (technical sciences)

2.3.5 Mathematical and software of computing systems, complexes and computer networks (technical sciences)

2.3.6 Methods and information protection systems, information security (technical sciences)

2.5.13 Design, design and production of aircraft (technical sciences)

2.5.16 Dynamics, ballistics, the movement of aircraft (technical sciences)

Editorial board

Bobrowsky V.I.
(Ph.D., Associate Professor, Head of Department of "INTELTEH")

Borisov V.V.
(Ph.D., Professor, Actual Member of the Academy of Military Sciences, Professor, Department of Computer Science of MPEI)

Budko P.A.
(Ph.D., Professor, Department of Technical communication and automation in S.M. Budjonny Military Academy of the Signal Corps)

Budnikov S.A.
(Ph.D., associate professor, Actual Member of the Academy of Education Informatization, Head of the automated control systems Department in Russian Air Force Military Educational and Scientific Center “Air Force Academy named after Professor N.E. Zhukovsky and Y.A. Gagarin”)

Verhova G.V.
(Ph.D., Professor, Head of Department of Automation communication companies In the Bonch-Bruevich Saint Petersburg State University of Telecommunications)

Goncharevsky V.S.
(Ph.D., Professor, Honored Worker of Science and Technology of the Russian Federation, Professor of technologies and technical support and maintenance of the automated control systems in Military Space Academy of A.F. Mozhaysky)

Komashinskiy V.I.
(Ph.D., Professor, professor of processing and transmission discrete messages in the Bonch-Bruevich Saint Petersburg State University of Telecommunications)

Kirpanev A.V.
(Ph.D., Associate Professor, Head of JSC "Scientific Production Enterprise "Radar MMS")

Kurnosov V.I.
(Ph.D., Professor, Academician of Academy of Sciences of the Arctic, Academician of the International Academy of Informatization, International Academy of defense, security, law and order, corresponding member of the Academy of Natural Sciences, Senior Researcher" Open Joint Stock Company "Scientific Research Institute "Rubin")

Manuilov Y.S.
(Ph.D., Professor, Department of automated control systems space complexes in Military Space Academy of A.F. Mozhaysky)

Morozov A.V.
(Ph.D., Professor, Actual Member of the Academy of Military Sciences, Head of the Department of automated command and control systems in Military Аcademy of troops of antiaircraft defense)

Moshak N.N.
(Ph.D., Associate Professor, head of the department of "INTELTEH")

Prorok V.Y.
(Ph.D., Professor, professor of automatic control systems in Military Space Academy of A.F. Mozhaysky)

Semenov S.S.
(Ph.D., associate professor, professor of technical communication and automation in S.M. Budjonny Military Academy of the Signal Corps)

Sinicyn E.A.
(Ph.D., Professor, Head of the Research Department of JSC "The All-Russian research institute of radio equipment")

Shatrakov Y.G.
(Ph.D., Professor, Honored Worker of Science, Scientific Secretary of JSC "The All-Russian research institute of radio equipment")