A Semi-Markov Model of the Functioning of Redundant Measuring Instruments Relative to the Frequency of Verification

Abstract

The problem of modeling the process of functioning of redundant measuring instruments is considered. The determination of the frequency of verifi cation of complex duplicate measuring instruments is validated on the basis of a semi-Markov model of the process of functioning of the instruments. The importance of the use of the theory of semi-Markov processes for modeling the functioning of redundant technical systems, including measurement systems, is demonstrated. A semi-Markov model of the process of functioning of measuring instruments by means of which the infl uence of such factors as the frequency of verifi cation, support of measuring instruments with spare parts, level of failure-free performance, and degree of maintainability on the reliability of measuring instruments may be taken into account is developed. A method of specifying a semi-Markov process that correctly and adequately approximates the true process is found. The availability factor of the measuring instruments is selected as the indicator of the operating effi ciency of the functioning of a measuring instruments and of the corresponding model.

Model of operation of computer measuring system

“…This circumstance opens up wide opportunities for using the reservation of individual modules of its CMS nodes to increase the reliability of the CMS as a whole. At the present time, the theory of reservation is well developed [9,10]. Due to the use of redundancy, it is possible to maintain ultra-reliable CMS.…”

“…A wide variety of control and measuring instruments, devices and measuring equipment's used in sphere of construction and housing -communal services [1][2][3][4][5], in mechanical engineering, fuel and energy complex [6], in the field of defense, security and emergency response [7][8][9][10][11][12] as well as the continuous increase in requirements for accuracy, reliability, speed and level of automation leads to the need to develop new and improve existing methods and models [13][14][15][16][17][18][19][20] of operation modern measuring systems. Currently, a new direction in metrology and control and measuring technology has been formed.…”