Tо the construction and implementation of optimal plans for verification of measuring instruments with the help of working standards
A scientific-methodical approach is proposed for the construction and implementation of optimal plans for conducting tests of exemplary measuring instruments used to complete technical systems for special purposes. The basis of the approach is a mathematical model of metrological maintenance of measuring instruments in the process of exploitation, a method for constructing an optimal plan of checks and a method for constructing a sequence of inspections of measuring instruments. The mathematical model of metrological service is represented in the form of a standard integer linear programming problem with constraints in the form of equalities and inequalities. In this case, the means of measurement are combined into complexes of measuring instruments on a territorial basis. Using the decomposition principle, the indicated problem is represented as a set of several linear programming problems of smaller dimension. The number of linear programming tasks is equal to the number of complexes. In this paper, sufficient conditions for the integer-valuedness of the optimal solution of the linear programming problem are formulated. When these sufficient conditions are met, it is recommended to use the standard simplex method, which is significantly less labor-intensive in comparison with methods for solving integer-valued problems. After solving the totality of linear programming problems, a lower estimate for the expended resource (service time of all control system complexes) is constructed. After the construction of the optimal plan, a sequence of application of working standards for verification of the complexes of measuring instruments is built, and the time of finding at least one measuring instrument is evaluated. During this time, the technical system as a whole, which includes the verified means of measurement, becomes inoperative and can not be used for its intended purpose. To build a sequence of application of working standards for verification of measuring instruments, standard algorithms and software solutions for combinatorial problems and discrete optimization problems are used. The results of solving the model problem of constructing optimal verification plans are presented.